Answer:
Solve for O
by simplifying both sides of the equation, then isolating the variable.
O=y+7x/17
Explain what causes the quarter to be attracted to the magnet only when the magnet is moving quickly near the quarter. two words only!
Electromagnetic induction. The interaction between the magnetic field of the magnet and the magnetic field created by the electric current in the quarter results in the attraction between the two.
When the magnet moves quickly near the quarter, it generates a changing magnetic field which induces eddy currents in the conductive metal of the quarter. These eddy currents create their own magnetic field, which interacts with the magnet's field, causing the quarter to be attracted to the magnet.
When a magnet moves quickly near a conductive material, such as a quarter, it creates a changing magnetic field. This changing magnetic field induces an electric current in the conductive material, which in turn creates its own magnetic field. The interaction between the magnetic field of the magnet and the magnetic field created by the electric current in the quarter results in the attraction between the two. This phenomenon is known as electromagnetic induction.
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If it costs $9.50 to buy a
movie ticket, what is the
most number of tickets
someone can buy for
$40.00? How much money
is left over?
PLEASE SHOW WORK
The number of tickets that can be bought with $40 is 4 tickets
How to calculate the number of tickets ?It costs $9.50 to buy 1 tickets
The number of tickets that will be bought with $40 can be calculated as follows
= 40/9.50
= 4.2
Hence 4 tickets will be bought with $40
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Find the distance between the following pair of points.
A(-3,1), B(7,13)
Answer:
15.6 units (3 s.f.)
Step-by-step explanation:
The distance between 2 points is given by the formula below, where \((x_1, y_1)\) is the first coordinate and \((x_2, y_2)\) is the second coordinate.
\(\boxed{{\text{Distance between 2 points}= \sqrt{(y_1 - y_2)^{2} + (x_1 - x_2)^{2} } }}\)
Using the distance formula above,
distance between A(-3, 1) and B(7, 13)
= \(\sqrt{(13-1)^{2} + [7-(-3)]^{2} } }}\)
= \(\sqrt{12^2+(7+3)^2}\)
= \(\sqrt{244}\)
= 15.6 units (3 s.f.)
Additional:
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suppose that 60% of the students who take the ap statistics exam score 4 or 5, 25% score 3, and the rest score 1 or 2. suppose further that 95% of those scoring 4 or 5 receive college credit, 50% of those scoring 3 receive such credit, and 4% of those scoring 1 or 2 receive credit. if a student who is chosen at random from among those taking the exam receives college credit, what is the probability that she received a 3 on the exam? group of answer choices
The probability that a student who received college credit scored a 3 on the exam is 0.034 or about 3.4%.
Let A be the event that the student scored 4 or 5, B be the event that the student scored 3, and C be the event that the student scored 1 or 2. We are given that P(A) = 0.60, P(B) = 0.25, and P(C) = 1 - P(A) - P(B) = 0.15.
We are also given the conditional probabilities P(Credit|A) = 0.95, P(Credit|B) = 0.50, and P(Credit|C) = 0.04, where Credit is the event that the student received college credit.
Using Bayes' theorem, we can calculate the probability that a student who received college credit scored a 3:
P(B|Credit) = P(Credit|B) * P(B) / [P(Credit|A) * P(A) + P(Credit|B) * P(B) + P(Credit|C) * P(C)]
= 0.50 * 0.25 / [0.95 * 0.60 + 0.50 * 0.25 + 0.04 * 0.15]
= 0.034
This result shows that even though 25% of the students scored 3 on the exam, they have a much lower probability of receiving college credit compared to those who scored 4 or 5.
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Complete question is:
Suppose that 60% of the students who take the ap statistics exam score 4 or 5, 25% score 3, and the rest score 1 or 2. suppose further that 95% of those scoring 4 or 5 receive college credit, 50% of those scoring 3 receive such credit, and 4% of those scoring 1 or 2 receive credit. if a student who is chosen at random from among those taking the exam receives college credit, what is the probability that she received a 3 on the exam?
2x -5 =1 ¿Cuál es el valor de x? por favor
The value of x in the equation 2x - 5 = 1 is 3.
How to calculate the equation?An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.
It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.
The equation will be:
2x - 5 = 1
Collect the like terms
2x = 1 + 5
2x = 6
Divide
x = 6 / 2
x = 3
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Describe the simplest type of group design that could be used to assess the effectiveness of the 3R approach to studying. What are three limitations of group designs
The simplest type of group design that could be used to assess the effectiveness of the 3R approach to studying is a pretest-posttest control group design.
This design involves randomly assigning participants to two groups: an experimental group that receives the 3R approach and a control group that does not. Both groups are assessed with a pretest to measure their initial level of studying skills. The experimental group then receives the 3R approach, while the control group continues with their usual studying methods.
After a designated period of time, both groups are assessed again with a posttest to measure any changes in their studying skills. The effectiveness of the 3R approach can be evaluated by comparing the post-test scores of the experimental and control groups.
However, group designs have certain limitations. First, there may be issues with generalizability, as the results obtained from a specific group may not be applicable to other populations. Second, there can be threats to internal validity, such as selection biases or participant attrition, which may affect the accuracy of the findings. Third, group designs may not allow for individual differences to be adequately addressed, as the focus is on group-level outcomes rather than individual variations. These limitations highlight the need for caution in interpreting and applying the findings from group designs.
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Solve this system of equations, then determine what x equals.
x + 5y= 7
2x + 4y = -4
X=-18 x=3
X=-8
X=7
Answer:
−18=7
y=4/5
y=−5/2
y=4/5
X=−18
x=3
−18=−8
On the coordinate grid draw the graph of y=2x-3
Use the value of x from -2 to +2
Answer:2x
Step-by-step explanation:
In 3 3/4hours one day in February, it snowed 3 feet in Amarillo. How much snow fell per hour?
Answer:
0.8
Step-by-step explanation:
Given: \(3 \frac{3}{4}\) hours one day
To find: How much snow fell per hour?
Solution: To find how much it will snow in an hour, first convert \(3\frac{3}{4}\) to a decimal
3.75. Now, divide 3 by 3.75
\(\frac{3}{3.75} =\)
\(3\) ÷ \(3.75\)
\(= 0.8\)
So, 0.8 snow will fall per hour
Which ordered pair can be plotted together with these four points, so that the resulting graph still represents a function?
The ordered pair that can be plotted together with these four points, so that the resulting graph still represents a function is (2, -1).
option C.
Which ordered pair can be plotted together?The ordered pair that can be plotted together with these four points, so that the resulting graph still represents a function is determined as follows;
The four points include;
A = (1, 2)
B = (2, - 3)
C = (-2, - 2)
D = (-3, 1)
The ordered pair that can be plotted together with these four points, must fall withing these coordinates. Going by this condition we can see that the only option that meet this criteria is;
(2, - 1)
Thus, the ordered pair that can be plotted together with these four points, so that the resulting graph still represents a function is (2, -1).
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Write the following in its simplest form. a. 27:63
Answer:
3 : 7
Step-by-step explanation:
i think is helpful for you
Answer:
3 : 7
Step-by-step explanation:
The ratio 27:63 can also be written as a fraction : \(\dfrac{27}{63}\)
If we divide both numerator and denominator by 9 we get
\(\dfrac{27 \div 9}{63 \div 9} = \dfrac{3}{7}\)
This can be expressed as the ratio 3 : 7
What analysis in the Excel Analytics "Column Statistics" tool can provide a snapshot of the data and can be used to check if the total cell counts reflects your expectations? Basic Math Advance Math Field Information Date Analysis
The "Column Statistics" tool in Excel Analytics provides a snapshot of the data and can be used to check if the total cell counts reflect your expectations.
1. Open Excel and navigate to the "Data" tab.
2. Select the range of data that you want to analyze.
3. Click on the "Data Analysis" button in the "Analysis" group. If you don't see the "Data Analysis" button, you may need to enable the Analysis ToolPak add-in.
4. In the "Data Analysis" dialog box, scroll down and select "Column Statistics" from the list of available analysis tools.
5. Click "OK" to open the "Column Statistics" dialog box.
6. In the "Column Range" field, make sure the range of data you selected earlier is displayed.
7. Choose the desired statistical measures you want to calculate, such as count, mean, median, standard deviation, etc. These measures will provide a snapshot of the data and help you assess if the total cell counts reflect your expectations.
8. Select the location where you want the output to be displayed, either in a new worksheet or in a specific range within the existing worksheet.
9. Click "OK" to generate the analysis.
10. Review the output to examine the calculated statistical measures. Check the count values to verify if they match your expectations and align with the total cell counts in your data.
By using the "Column Statistics" tool in Excel Analytics, you can quickly obtain key statistical measures and assess if the total cell counts in your data correspond to what you anticipated. This analysis provides valuable insights into the distribution and summary statistics of your data, helping you validate and understand your data set more effectively.
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I need help with question 5, I need an answer pls
5a. A function to show p, the number of parrots t years after 2010 is \(P(t) = 515(1.54)^t\\\\\).
5b. The number of parrots that is expected to be there in 2016 is 6,870 parrots.
How to create a function that can be used to find the number of parrots t years after 2010?In Mathematics and Statistics, a population that increases at a specific period of time represent an exponential growth. This ultimately implies that, a mathematical model for any population that increases by r percent per unit of time is an exponential function of this form:
\(P(t) = I(1 + r)^t\\\\\)
Where:
P(t) represents the population.t represents the time or number of years.I represents the initial value of the population.r represents the decay rate.Part a.
By substituting the given parameters into the formula, an exponential function to show p, the number of parrots t years after 2010 is given by;
\(P(t) = I(1 + r)^t\\\\\)
4418= 515(1 + r)⁵
(1 + r)⁵ = 4418/515
(1 + r)⁵ = 8.5786407766990
1 + r = 1.54
Therefore, the required exponential function to show p is given by;
\(P(t) = 515(1.54)^t\\\\\)
Part b.
When t = 6 years, the number of parrots can be calculated as follows;
\(P(6) = 515(1.54)^6\)
P(6) = 6,869.60 ≈ 6,870 parrots.
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when the film is placed into the xcp holder with the smooth side of the film towards the throat, after processing it will appear dark. t/f
The given statement " When the film is placed into the XCP (extension cone paralleling) holder with the smooth side of the film towards the throat, after processing, it will appear darker" is false because it will lighter, not darker.
The smooth side of the film is the side that interacts with the X-ray radiation and receives the image, while the emulsion side contains the light-sensitive crystals that react to the radiation.
Placing the smooth side towards the throat ensures that the image is sharp and clear, as the X-ray beam travels through the teeth and soft tissues before reaching the film.
After processing, the exposed areas of the film turn dark, representing the captured X-ray image, while the unexposed areas remain light or clear.
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Simplify the expression below, where u, v, and w denote suitable positive real numbers. uv uw VW Log + log + log- log(uvw) W 17 u Major Topic Blooms Score Designation EV LOGARITHM 6 b) The decibel gain n of an amplifier is given by: P2 n = 10 log10 (₁) where P1 is the power input and P2 is the power output. Find the power gain P2 when n= 25 decibels. Major Topic Score Blooms Designation LIMITS AN 7 b) Using the method of first principle find the derivative of the function f(x)= -
1) After simplification: loguv + logvw + loguw -2logv - 2logu - 2logw
Given expression:
log(uv/w) + log(uw/v) + log(vw/u)- log(uvw)
Now simplify using log properties,
log(a/b) = loga - logb
log(ab) = loga + logb
Therefore,
=loguv - logw + loguw -logv + logvw - logu - logu -logv -logw
=loguv + logvw + loguw -2logv - 2logu - 2logw
Hence the simplified form is,
loguv + logvw + loguw -2logv - 2logu - 2logw
2)
Power gain \(P_{2}/ P_{1}\) = 316.22
Given,
n = 10 log(\(P_{2}/ P_{1}\))
n= 25
Now,
25/10 = \(log_{10} \frac{P_{2} }{P_{1} }\)
10^2.5 = \(P_{2}/ P_{1}\)
\(P_{2}/ P_{1}\) = 316.22 .
Hence the power gain in 316.22 .
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Find the perimeter. 10 ft. 13 ft. 17 ft.
Question
Find the perimeter. 10 ft. 13 ft. 17 ft.
Answer: Perimeter of the given figure = 10 ft.+ 13ft. +17ft.
= 40 ft.
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Natalie gathered a random sample of favorite writing utensils of the students in her class. She calculated data on different variables. For one data that she collected, she constructed a bar graph. Which of the following variables did she use?
O Price of writing utensil
O Type of writing utensil
O The volume of each writing utensil
O Weight of each writing utensil
Natalie used for constructing the bar graph is type of writing utensil.
What is bar graph ?The representation of numerical data using rectangles (or bars) of equal width and varying height is known as a bar graph.
Depending on the distribution and nature of the data, various types of charts or graphs, such as scatter plots, histograms, or box plots, would typically be used to represent the mentioned quantitative variables, such as the price, volume, and weight of each writing utensil.
Natalie probably used the variable "type of writing utensil" for the bar graph based on the information provided. This is due to the fact that a bar graph is a type of chart that uses rectangular bars to represent categorical data. Each bar represents a distinct category or group.
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Find the particular solution that satisfies the differential equation f′′(x)=4 and the initial conditions f′(2)=10,f(2)=19
The particular solution that satisfies the given differential equation and initial conditions is f(x) = 2x^2 + 2x + 7.
Given differential equation is f''(x) = 4. Integrating with respect to x twice, we get f'(x) = 4x + C1, where C1 is a constant of integration. Integrating again with respect to x, we get f(x) = 2x^2 + C1x + C2, where C2 is another constant of integration.
Now, applying the initial conditions, f'(2) = 10 and f(2) = 19:
f'(2) = 4(2) + C1 = 8 + C1 = 10
Solving for C1, we get C1 = 2
f(2) = 2(2)^2 + C1(2) + C2 = 8 + 4 + C2 = 12 + C2 = 19
Solving for C2, we get C2 = 7
Therefore, the particular solution that satisfies the given differential equation and initial conditions is f(x) = 2x^2 + 2x + 7.
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which number line shows the solution to 2/3x-5 greaterthan 3
The solution to the inequality 2/3x - 5 > 3 is represented on the number line.
The solution to the inequality 2/3x - 5 > 3 can be represented on a number line as follows:
To determine the solution, we first isolate the variable x by adding 5 to both sides of the inequality: 2/3x - 5 + 5 > 3 + 5, which simplifies to 2/3x > 8. Next, we multiply both sides by the reciprocal of 2/3, which is 3/2 (flipping the fraction): (2/3x)(3/2) > 8(3/2). This gives us x > 12. We represent this solution on the number line by shading the region to the right of 12 since x must be greater than 12 to satisfy the inequality. Thus, the number line shows the solution to 2/3x - 5 > 3.
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how do variables declared within a method differ from those declared directly within a class?
Variables declared within a method and those declared directly within a class differ in their scope and accessibility.
Variables declared within a method are called local variables. They are only accessible within the specific method in which they are declared. Local variables have a limited scope and their values are typically temporary and exist only as long as the method is executing. Once the method completes its execution, the local variables are destroyed and cannot be accessed from other methods or parts of the class.
On the other hand, variables declared directly within a class, but outside of any methods, are called instance variables or class variables. These variables are accessible throughout the entire class and can be accessed and modified by any method within the class. They have a broader scope and their values persist as long as the instance of the class exists. Instance variables hold data that is shared among multiple methods within the class, and their values can be accessed and modified across different methods.
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what factor is equivalent to -3/2
Multiplying the numerator and the denominator by the same constant, we get an equivalent fraction, as follows:
\(-\frac{3}{2}=-\frac{3}{2}\cdot\frac{2}{2}=-\frac{3\cdot2}{2\cdot2}=-\frac{6}{4}\)Then, -6/4 is equivalent to -3/2
when sample size increases, everything else remaining the same, the width of a confidence interval for a population parameter will:
when sample size increases, everything else remaining the same, the width of a confidence interval decreases.
The sample size is defined as the the number of observations or participants included in a study.
The confidence interval is defined as the mean of the estimate plus and minus the variation in that estimate. That means when you do the test multiple times, then the value may be vary from the estimated value. The confidence interval is the range of those values.
So when the sample size increases the width of the confidence interval decreases
Hence, when sample size increases, everything else remaining the same, the width of a confidence interval decreases.
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If ⅆyⅆt=6e−0. 08(t−5)2, by how much does y change as t changes from t=1 to t=6 ?
(A) 3. 870 (B) 8. 341 (C) 18. 017 (D) 22. 583
Based on the given informations, the change in y as t changes from 1 to 6 is approximately 3.870. Therefore the correct option is (A).
To find the change in y as t changes from 1 to 6, we need to integrate the given function with respect to t over the interval [1, 6] and then find the difference between the values of the integral at the two endpoints.
∫₁⁶ 6e\(.^{(-0.08(t-5)^2)}\) dt
We can use the substitution u = t - 5 to simplify the integral:
∫₋₄¹ 6e\(.^{(-0.08u^2)}\) du
Unfortunately, there is no closed-form solution for this integral. We can use numerical integration methods, such as Simpson's rule or the trapezoidal rule, to approximate the integral. Using Simpson's rule with a step size of 1, we get:
∫₋₄¹ 6e\(.^{(-0.08u^2)}\) du ≈ 3.870
Therefore, the change in y as t changes from 1 to 6 is approximately 3.870, which corresponds to option (A).
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in a large population, 65 % of the people have been vaccinated. if 4 people are randomly selected, what is the probability that at least one of them has been vaccinated?
The probability that at least one of them has been vaccinated is equal to 98.5% if 65% of the people have been vaccinated.
Considering P to be the probability that at least one is vaccinated and q to be the probability that none of the four are vaccinated; the sum of all the probabilities must equal 1; therefore,
P = 1 - q
As 65% of the population is vaccinated, therefore 35% are not vaccinated. Thus any person has a probability of 0.35 of not being vaccinated;
q = 0.35^4 = 0.015
P = 1 - 0.015
P = 0.985
Converting it into percentage;
P = 0.985 × 100 = 98.5%
Therefore the probability that at least one of them has been vaccinated is calculated to be 98.5%
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Please help I don’t understand what to do
x⁰ = 360 degree- ( 246⁰ + 66⁰)
= 360 degree- 312⁰
= 48 ⁰
Answer:
x = 114
Step-by-step explanation:
Remark
You are trying to figure out what the arc is in degrees. The arc formula is
Intersect angle = 1/2( the furthest arc - the smaller closer arc).
Givens
Intersect angle = 66 degrees
Closer arc = x
Further or largest Arc = 246
Solution
66 = 1/2 (246 - x) Multiply both sides by 2 and remove the brackets.
132 = 246 - x Subtract 246 from both sides.
132 - 246 = - x
- 114 = - x Multiply both sides by -1
-1 (-114) = -1 * (-x)
x = 114
I need an answer ASAP!!! I’ll mark the best answer as brainliest
Answer:
A
Step-by-step explanation:
Apply quotient power rule
\(a {}^{ \frac{1}{3} } - \frac{1}{4} \)
\( {a}^{ \frac{1}{12} } \)
Suppose that at t = 4 the position of a particle is s(4) = 8 m and its velocity is v(4) = 3 m/s. = = Use an appropriate linearization L(t) to estimate the position of the particle at t = 4.2.
Therefore, we can estimate that the position of the particle at t = 4.2 is approximately 8.6 meters. It's important to note that this is only an estimate, and the actual position of the particle may differ slightly from this value.
To estimate the position of the particle at t = 4.2, we need to use linearization. Linearization is a method of approximating the behavior of a function by a linear equation near a particular point. In this case, we can use the linearization of the position function s(t) at t = 4.
The linearization of a function f(x) at a point x=a is given by:
L(x) = f(a) + f'(a)(x-a)
In our case, the position function is s(t), so the linearization is:
L(t) = s(4) + s'(4)(t-4)
We know that s(4) = 8 m and v(4) = s'(4) = 3 m/s, so we can substitute these values into the linearization equation:
L(t) = 8 + 3(t-4)
Simplifying this equation, we get:
L(t) = 3t - 4
Now we can use this linearization to estimate the position of the particle at t = 4.2:
L(4.2) = 3(4.2) - 4 = 8.6
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What is an example of a geometric series?
An example of geometric series is 2 + 6 + 18 + 54.
When a set of numbers follow a particular order, they are said to be in sequence.
A set of numbers are said to be in geometric sequence if the ratio between second and first term is same as the ratio between third and second term and so on. The geometric sequence is presented as
Sum of n terms = a, ar, ar², ar³, ......, arⁿ⁻¹, arⁿ.
where,
The first term is a.
Every two consecutive terms, r is the common ratio.
The number of terms is n.
When the numbers in geometric sequence are added together, it is called a geometric series. The geometric series is presented as
Sum of n terms = a + ar + ar² + ar³ + ...... + arⁿ⁻¹ + arⁿ.
where,
The first term is a.
Every two consecutive terms, r is the common ratio.
The number of terms is n.
Let us take an example.
The numbers 2, 6, 18, 54 are in geometric sequence because 6:2 = 18:6 = 54:18 and when we will write it as 2 + 6 + 18 + 54, it will become a geometric series.
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Please help thank you
Answer: D 5 to the 8th power
Step-by-step explanation: Just trust me brainiest if u get it right
Answer:
i say its the frst one but I am not sure
Find the directional derivative of the function at the given point in the direction of the vector v. g(p, q) = p4 - p2q3, (1, 1), v= i + 4j Dug(1, 1) = 3
The directional derivative of the function at the given point in the direction of the vector v is Dug(1,1)=3. To explain in 250 words, the directional derivative of a function is a measure of the rate at which the function changes at a given point in a specific direction.
This is expressed mathematically as the dot product of the gradient of the function at the given point and the unit vector in the direction of interest.
To find the directional derivative of g(p, q) at (1, 1) in the direction of the vector v = i + 4j, we need to follow these steps:
1. Calculate the gradient of the function g(p, q) at the point (1, 1).
The gradient of g(p, q) is the vector of partial derivatives of g(p, q) with respect to p and q, respectively. That is:
∇g(p, q) = <∂g/∂p, ∂g/∂q>
= <4p3 - 2pq3, -3p2q2>
At the point (1, 1), we have:
∇g(1, 1) = <4(1)3 - 2(1)(1)3, -3(1)2(1)2>
= <2, -3>
2. Normalize the vector v to obtain the unit vector u in the direction of v.
The unit vector u is given by:
u = v/||v||
where ||v|| is the magnitude of v. In this case, we have:
||v|| = ||i + 4j|| = sqrt(1^2 + 4^2) = sqrt(17)
Therefore, the unit vector u in the direction of v is:
u = (1/sqrt(17))i + (4/sqrt(17))j
3. Compute the dot product of the gradient vector and the unit vector in the direction of v.
The directional derivative of g(p, q) at (1, 1) in the direction of v is:
Dug(1,1) = ∇g(1,1) · u
= <2, -3> · (1/sqrt(17))i + (4/sqrt(17))j
= (2/sqrt(17)) - (12/sqrt(17))
= -10/sqrt(17)
Therefore, the directional derivative of g(p, q) at (1, 1) in the direction of the vector v = i + 4j is -10/sqrt(17).
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