Answer:
same
Step-by-step explanation:
Answer:
The answer is 9.2
Step-by-step explanation:
Two consecutive odd whole numbers are selected. The difference between the reciprocals of the two numbers is 2/143. Determine the two numbers.
Answer:
The numbers are 11 and 13
Step-by-step explanation:
Let
the first odd whole number=x
Reciprocal=1/x
Second odd whole number=x+2
Reciprocal=1/x+2
The difference
(1/x) - 1/(x+2)=2/143
(x+2)-x / (x)(x+2)=2/143
x+2-x/x(x+2)=2/143
2/x(x+2)=2/143
2(143)=2(x^2+2x)
286=2x^2+4x
2x^2+4x-286=0
x^2+2x-143=0
Solve the quadratic Equation
x=-b +or- √b^2-4ac/2a
a=1
b=2
c=-143
x= -b +or- √b^2-4ac/2a
=-2 +or- √(2)^2-(4)(1)(-143) / 2(1)
= -2 +or- √4-(-572) / 2
= -2 +or- √4+572/2
= -2 +or- √576/2
= -2 +or- 24/2
x= -2+24/2
= 22/2
=11
Or
x= -2-24/2
= -26/2
= -13
Taking the positive value
x=11
The second odd whole number=x+2
=11+2
=13
which expression can you use to find the number of ways to choose 5 cards from a 52-card deck? how many ways can you choose the 5 cards?
The expression that you can use to find the number of ways to choose 5 cards from a 52-card deck is 52!/(47! * 5!).
The expression that you can use to find the number of ways to choose 5 cards from a 52-card deck is 52 choose 5, which is equal to 52!/(47! * 5!), where the exclamation point indicates the factorial function. This is known as the binomial coefficient, and it represents the number of ways to choose a certain number of items from a larger set. In this case, the binomial coefficient is used to find the number of ways to choose 5 cards from a deck of 52 cards.
The order of the cards is irrelevant in card games like poker. A five-card draw of 1,2,7,9, K is equivalent to a draw of K,7,9,1,2. What counts is the fundamental overall group.
Order is irrelevant, therefore we utilize a combination (instead of a permutation)
We will substitute n = 52 and r = 5 into the nCr combination formula, which is n C r = (n!)/(r!*(n-r)!)
so we obtain:
n C r = r!*(n-r)!/(n!)
52 C 5 = (52!)/(5!*(52-5)!)
52 C 5 = (52!)/((52-5)!*5!)
The complete question is:-
Which expression can you use to find the number of ways to choose 5 cards from a 52-card deck?
a) (52-5)! / 52!5!
b) 52! / (52-5)!
c) 52! / (52-5)!5!
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For a two-tailed test at 12. 66% significance level, the critical value of z is:.
for a two-tailed test at a 12.66% significance level, the critical values of z are approximately +1.53 and -1.53. We are looking for the z-score that corresponds to the area to the right of it (for the positive critical value) equal to 0.0633.
For a two-tailed test at a 12.66% significance level, we need to find the critical value of z.
Step 1: Determine the significance level for each tail.
Since this is a two-tailed test, we need to divide the overall significance level (12.66%) by 2. This gives us 6.33% (or 0.0633 in decimal form) in each tail.
Step 2: Find the z-score associated with the given significance level.
To find the critical value of z, you can use a z-table or an online calculator. We are looking for the z-score that corresponds to the area to the right of it (for the positive critical value) equal to 0.0633.
Using a z-table or calculator, you'll find that the z-score is approximately ±1.53.
So, for a two-tailed test at a 12.66% significance level, the critical values of z are approximately +1.53 and -1.53.
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Let x be an integer. Prove that if x is not divisible by 3, then
(x + 1)(x + 2) is divisible by 3
Answer:
(x + 1)(x + 2) is divisible by 3.
Step-by-step explanation:
Assume that x is not divisible by 3. This means that x can be expressed as x = 3k + r, where k is an integer and r is the remainder when x is divided by 3. Since x is not divisible by 3, the remainder r must be either 1 or 2.
Case 1: r = 1
If r = 1, then x = 3k + 1. Now let's consider (x + 1)(x + 2):
(x + 1)(x + 2) = (3k + 1 + 1)(3k + 1 + 2)
= (3k + 2)(3k + 3)
= 3(3k^2 + 5k + 2)
We can see that (x + 1)(x + 2) is divisible by 3.
Case 2: r = 2
If r = 2, then x = 3k + 2. Now let's consider (x + 1)(x + 2):
(x + 1)(x + 2) = (3k + 2 + 1)(3k + 2 + 2)
= (3k + 3)(3k + 4)
= 3(3k^2 + 7k + 4)
We can see that (x + 1)(x + 2) is divisible by 3.
Hence, the statement is proven.
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PLEASE HELPP THIS SHOULD BE EASY!!!
Yolanda earned $375 for working 25 hours last week. What is her hourly rate??
Answer:
her hourly pay is 15
Step-by-step explanation:
375 (earned) ÷ 25 (hrs worked) = 15
i hope this helps have a good day!
The results of a repeated-measures anova are reported as follows, f(3,27) = 1.12, p > .05. how many treatment conditions were used in the study?
The number of treatment conditions used in the study can be determined from the degrees of freedom.
The degrees of freedom in the ANOVA output represent the number of levels or groups involved in the analysis. In this case, the degrees of freedom are reported as (3, 27), which consists of two numbers separated by a comma.
The first number (3) represents the degrees of freedom associated with the treatment conditions or groups, while the second number (27) represents the degrees of freedom associated with the error term. The treatment degrees of freedom indicate the number of levels or groups involved in the study, and in this case, it is 3. Therefore, the study used three treatment conditions.
The error degrees of freedom reflect the variability within the groups or the variability that cannot be accounted for by the treatment conditions. The F-value and p-value provide information about the significance of the observed differences between the treatment conditions, with a p-value greater than 0.05 suggesting that the observed differences are not statistically significant.
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Please help! Enter only a numeric answer.
The value of m ∠ H-F-K, given the value of the corresponding and supplementary angles, is 84 degrees
How to find m ∠ H-F-K ?The angles given of 6 ( x + 2 ) degrees and 8 ( x - 2 ) degrees are complementary and add up to 180 degrees.
The value of these angles is:
6 ( x + 2 ) = 8 ( x - 2 )
6x + 12 = 8x - 16
8x - 6x = 16 + 12
x = 28 / 2
x = 14
The angle is:
= 8 ( 14 - 2 )
= 8 x 12
= 96 degrees
The value of m ∠ H-F-K will be supplementary to m ∠ H-F-K so the value of m ∠ H-F-K is:
= (360 - 96 - 96 ) / 2
= 84 degrees
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Henry and his sister Julie both collect stamps. Julie has (3)/(4) the amount of stamps that Henry has. If Henry has 20 stamps, how many stamps does Julie have?
Using the given information that Julie has (3)/(4) the amount of stamps as Henry, and knowing that Henry has 20 stamps, we calculate that Julie has 15 stamps.
If Julie has (3)/(4) the amount of stamps that Henry has, we can calculate the number of stamps Julie has by multiplying Henry's stamp count by (3)/(4).
Number of stamps Julie has = (3)/(4) * 20
To simplify the expression, we multiply the numerator and denominator separately:
Number of stamps Julie has = (3 * 20)/(4)
Multiplying the numerator:
Number of stamps Julie has = 60/4
Simplifying the fraction:
Number of stamps Julie has = 15
To find the number of stamps Julie has, we are given that Julie has (3)/(4) the amount of stamps that Henry has. Since we know Henry has 20 stamps, we can calculate Julie's stamp count by multiplying Henry's count by (3)/(4).
(3)/(4) * 20 = (3 * 20)/(4) = 60/4 = 15
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A convex polyhedron has faces that consist of 5 congruent squares and 4 congruent equilateral triangles. The
polyhedron has 16 edges. How many vertices does it have?
O 5 vertices
O 9 vertices
O 13 vertices
O 14 vertices
Answer:
9
Step-by-step explanation:
trust
Answer:
9
Step-by-step explanation:
bing bong
5 (3 + 6)2 - 62
evaluate this exponential expression
Step-by-step explanation:
5(3+6)2-62
(15+30)2-62
30+60-62
90-62=28
The shape shown is made of centimetre cubes. Work out how many more centimetre cubes would need to be added to turn the shape into a solid 3x4x4 cuboid.
The number of cubes that would be needed to be added to turn the shape into a solid 3x4x4 cuboid would be = 24 cubes.
What is a cuboid?A cuboid is defined as the type of quadrilateral that has 6 faces, 8 vertices, and 12 edges.
The volume of the cuboid;
volume of the cuboid;= l×w×h
= 3x4x4
= 48cm³
The volume of each cube = 1cm×1cm×1cm
The number of cubes available= 24 cubes
Therefore the remaining cubes = 48-24 = 24 cubes.
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A compressive load of 80,000 lb is applied to a bar with
circular section0.75indiameter and a length of 10 in. if the
modulus of elasticity of the bar material is10,000 ksi and the
Poisson’s ratio i
The decrease in diameter of the bar due to the applied load is -0.005434905d and the final diameter of the bar is 1.005434905d.
A compressive load of 80,000 lb is applied to a bar with a circular section of 0.75 in diameter and a length of 10 in.
if the modulus of elasticity of the bar material is 10,000 ksi and the Poisson's ratio is 0.3.
We have to determine the decrease in diameter of the bar due to the applied load.
Let d be the initial diameter of the bar and ∆d be the decrease in diameter of the bar due to the applied load, then the final diameter of the bar is d - ∆d.
Length of the bar, L = 10 in
Cross-sectional area of the bar, A = πd²/4 = π(0.75)²/4 = 0.4418 in²
Stress produced by the applied load,σ = P/A
= 80,000/0.4418
= 181163.5 psi
Young's modulus of elasticity, E = 10,000 ksi
Poisson's ratio, ν = 0.3
The longitudinal strain produced in the bar, ɛ = σ/E
= 181163.5/10,000,000
= 0.01811635
The lateral strain produced in the bar, υ = νɛ
= 0.3 × 0.01811635
= 0.005434905'
The decrease in diameter of the bar due to the applied load, ∆d/d = -υ
= -0.005434905∆d
= -0.005434905d
The final diameter of the bar,
d - ∆d = d + 0.005434905d
= 1.005434905d
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implement f using a single 4-to-1 multiplexer and two inverters. (5 points)
The function f can be implemented using a single 4-to-1 multiplexer and two inverters.
A 4-to-1 multiplexer is a digital logic component that selects one of four input signals based on the select lines. It has four data inputs (D0, D1, D2, D3), two select lines (S0, S1), and one output (Y). By properly connecting the inputs and select lines, we can realize the desired function f.
To implement the function f using a single 4-to-1 multiplexer and two inverters, we need to carefully assign the input signals and select lines to achieve the desired behavior. The truth table of the function f will guide us in determining the appropriate connections.
First, we can use the inverters to complement the required inputs if needed. Then, we can connect the complemented and uncomplemented inputs to the select lines of the multiplexer. The output of the multiplexer will be the result of the function f.
By carefully selecting the input assignments and connections, we can effectively implement the function f using a single 4-to-1 multiplexer and two inverters. This approach offers a compact and efficient solution for realizing the desired logic function.
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find the taylor series representation of f(x) = cos x centered at x = pi/2
The Taylor series representation of f(x) = cos x centered at x = pi/2 is - (x - pi/2) + (1/6)(x - pi/2)^3 + .The Taylor series representation of f(x) = cos x centered at x = pi/2 is - (x - pi/2) + (1/6)(x - pi/2)^3 + ...
To find the Taylor series representation of f(x) = cos x centered at x = pi/2, we will follow these steps: Step 1: Find the value of f(x) and its derivatives at x = pi/2Step 2: Write out the general form of the Taylor series Step 3: Substitute the values of the function and its derivatives into the general form of the Taylor series Step 4: Simplify the resulting series by combining like terms.
Let's begin with step 1:Find the value of f(x) and its derivatives at x = pi/2f(x) = cos x f(pi/2) = cos(pi/2) = 0f '(x) = -sin x f '(pi/2) = -sin(pi/2) = -1f ''(x) = -cos x f ''(pi/2) = -cos(pi/2) = 0f '''(x) = sin x f '''(pi/2) = sin(pi/2) = 1f ''''(x) = cos x f ''''(pi/2) = cos(pi/2) = 0
Step 2: Write out the general form of the Taylor series . The general form of the Taylor series centered at x = pi/2 is:f(x) = f(pi/2) + f '(pi/2)(x - pi/2) + (f ''(pi/2)/2!)(x - pi/2)^2 + (f '''(pi/2)/3!)(x - pi/2)^3 + (f ''''(pi/2)/4!)(x - pi/2)^4 + ...
Step 3: Substitute the values of the function and its derivatives into the general form of the Taylor seriesf(x) = 0 + (-1)(x - pi/2) + (0/2!)(x - pi/2)^2 + (1/3!)(x - pi/2)^3 + (0/4!)(x - pi/2)^4 + ...f(x) = - (x - pi/2) + (1/6)(x - pi/2)^3 + ...
Step 4: Simplify the resulting series by combining like terms .
Therefore, the Taylor series representation of f(x) = cos x centered at x = pi/2 is - (x - pi/2) + (1/6)(x - pi/2)^3 + .The Taylor series representation of f(x) = cos x centered at x = pi/2 is - (x - pi/2) + (1/6)(x - pi/2)^3 + ...
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Please someone help meeeee
Answer:
2nd water freezes at 0 C and 32 F and boils at 100 C and 212 F
Step-by-step explanation:
Help me please ?
anyone ?
Mathematics .
The length of the midsegment of trapezoid ABCD is 6.23 units.
In this question, we have been given a trapezoid ABCD with vertices A(0,0), B(2, 5), C(3, 5) and D(8, 0)
We need to find the length of the midsegment of trapezoid.
We know that the length of the midsegment is one-half the sum of the lengths of the bases.
The length of base AB,
AB = √(2 - 0)² + (5 - 0)²
AB = √4 + 25
AB = √29
AB = 5.38
The length of base CD would be,
CD = √(8 - 3)² + (0 - 5)²
CD = √5² + (-5)²
CD = √25 + 25
CD = 5√2
So, the length of the midsegment would be,
l = 1/2[(5.38 + 5√2)]
l = 6.23
Therefore, the length of the midsegment of trapezoid ABCD is 6.23 units.
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Define Chi square test OR Tests of significance based on Chi-Square. A: -Various tests of significance described previously have mostly applicable to only quantitative data and usually to the data which are approximately normally distributed. It may also happens that we may have data which are not normally Inference: (i) If Z0 ≤ Ze we accept the H0 (ii) If Z0 >Ze we reject the H0 Example: A test of the breaking strengths of two different types of cables was conducted using samples of n1 = n2 = 100 pieces of each type of cable. Do the data provide sufficient evidence to indicate a difference between the mean breaking strengths of the two cables? Use 0.01 level of significance. x = 1925 and sigm = 40 and X2 = 1905, sigma = 30
The Chi-square test is a statistical test used to determine if there is a significant difference between observed and expected frequencies in categorical data. In this example, the test is used to assess whether there is a significant difference in the mean breaking strengths of two types of cables.
The Chi-square test of significance is employed when dealing with categorical or nominal data. It compares the observed frequencies with the frequencies that would be expected if the variables were independent. In this case, the breaking strengths of the two cables are the variables of interest.
To perform the test, the first step is to define the null hypothesis (H0) and the alternative hypothesis (Ha). In this example, H0 assumes that there is no difference in the mean breaking strengths of the two cables, while Ha suggests that there is a difference.
Next, the test statistic, denoted by X2 (chi-square), is calculated using the formula X2 = Σ[(O - E)²/E], where O represents the observed frequencies and E represents the expected frequencies under the assumption of independence.
To determine the expected frequencies, we need to estimate the means and variances of the breaking strengths. Here, x = 1925 and sigma = 40 for the first cable, and x = 1905 and sigma = 30 for the second cable.
Once the test statistic is calculated, it is compared to a critical value from the Chi-square distribution with degrees of freedom equal to (r - 1)(c - 1), where r is the number of rows and c is the number of columns in the contingency table. The significance level of 0.01 determines the critical value.
If the calculated X2 value is greater than the critical value, we reject the null hypothesis and conclude that there is sufficient evidence to indicate a difference in the mean breaking strengths of the two cables. Conversely, if the calculated X2 value is less than or equal to the critical value, we fail to reject the null hypothesis and conclude that there is no significant difference.
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2. Patrick worked 5.25 hours on Monday,
6.75 hours on Wednesday, and 7.75 hours
on Saturday. How many hours did he work
for the week?
a. 18 hours
b. 19.75 hours
c. 20.25 hours
d. 21 hours
Answer:
Step-by-step explanation:
5.25+6.75+7.75=
12+7.75=19.75
b->19.75
which function’s domain consists of all real numbers expect 3?
Answer:
f(x)=3x−3
Step-by-step explanation:
hope this helps.
Solve for u. 7u = 91 Simplify your answer as much as possible.
Answer:
13
Step-by-step explanation:
In order to find u, we have to get u by itself. So first step is to divide both sides by 7, which you end up with:
\(u=\frac{91}{7}\)
and this simplifies to
u=13
if my avg is a 96 and my final exam is a 75 which is 25% of my whole grade what will my final grade be
Step-by-step explanation:
That means the 96 is 75% of your grade
96 (.75) + 75 (.25) = 90.75 final grade
The pentagons ABCDE and JKL MN are similar.
Find the length x of NJ.
Answer:
5.4
Step-by-step explanation:
The scale of the 2 shapes is 1:1.8. so if the smaller shape's side is 3, insert 3 into the ratio. Now, multiply 3*1.8, and you get your answer of 5.4
1. Devon had his two friends over for pizza. Devon ate .25 of the pizza. One of his friends ate 3/8 of the pizza and the other friend ate 1/8 of the pizza. How much of the pizza is left? * 6/8 O 1/3 جا
Let the amount of pizza be 1:
Amount ate by devon = 0.25 = 1/4
Amount ate by his friends = 3/8 + 1/8 = 4/8
The total fraction consumed = 1/4 + 4/8
The total fraction consumed = (2+4)/8
The total fraction consumed = 6/8
The fraction of the pizza left unconsumed = Total amount of pizza - amount consumed
The fraction of the pizza left unconsumed = 1 - 6/8
The fraction of the pizza left unconsumed = (8-6)/8
The fraction of the pizza left unconsumed = 2/8
The fraction of the pizza left unconsumed = 1/4
Hence the amount of pizza left is 1/4
respectively Q 1
=160−10P 1
OR r 1
=16−0.1Q 1
aWD 1/P 6
=16 6
−2T −
Q 2
=200−20P 2
ORP 2
=10−0,050,…H1AP 2
=15−0:0% Saga's Total Cost function is: TC =120+4Q With third degree price discrimination, the condition for peofit marimizater is MR 1
=MR 2
=MR=MC Find P 1
,Q 1
,P 2
,Q 1
Total Revenue, Total Cost, and Total proft wit sree discrimination. Find P,Q,TR,TC&π In the absence of price discrimination. Marks: 7
In the absence of price discrimination, the profit-maximizing conditions would be different, and the resulting prices, quantities, total revenue, total cost, and profit would also be different.
To find the profit-maximizing conditions with third-degree price discrimination, we need to equate the marginal revenue (MR) to the marginal cost (MC) for each market segment.
Given the demand equations and the total cost function:
Market 1: Q1 = 160 - 10P1 or P1 = 16 - 0.1Q1
Market 2: Q2 = 200 - 20P2 or P2 = 10 - 0.05Q2
Total Cost: TC = 120 + 4Q
To find the profit-maximizing prices and quantities, we equate MR to MC for each market segment:
MR1 = MC:
16 - 0.2Q1 = 4
0.2Q1 = 12
Q1 = 60
MR2 = MC:
10 - 0.1Q2 = 4
0.1Q2 = 6
Q2 = 60
Substituting the quantities back into the demand equations, we find:
P1 = 16 - 0.1(60) = 10
P2 = 10 - 0.05(60) = 7
The total revenue (TR) can be calculated by multiplying the price by the quantity for each market segment:
TR = P1 * Q1 + P2 * Q2
TR = (10 * 60) + (7 * 60)
TR = 600 + 420
TR = 1020
The total cost (TC) is given by the total cost function:
TC = 120 + 4Q
TC = 120 + 4(60 + 60)
TC = 120 + 480
TC = 600
Finally, the profit (π) can be calculated by subtracting total cost from total revenue:
π = TR - TC
π = 1020 - 600
π = 420
In the absence of price discrimination, the profit-maximizing conditions would be different, and the resulting prices, quantities, total revenue, total cost, and profit would also be different.
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Write and solve an equation to answer the question. A truck rental is $30 plus $. 45/mi. Find out how many miles Ken traveled if his bill was $66.45. Ken traveled ____ miles.
Ken traveled approximately 81 miles.
Let's denote the number of miles Ken traveled as "m".
We know that the truck rental is $30 plus $0.45 per mile.
So, we can set up the equation:
Total cost = Truck rental cost + Cost per mile
$66.45 = $30 + $0.45m
To solve for "m", we need to isolate the variable on one side of the equation.
Let's start by subtracting $30 from both sides:
$66.45 - $30 = $0.45m
$36.45 = $0.45m
Now, we can divide both sides of the equation by $0.45 to solve for "m":
$36.45 / $0.45 = m
m ≈ 81
Therefore, Ken traveled approximately 81 miles.
In summary, by setting up and solving the equation $66.45 = $30 + $0.45m, we found that Ken traveled approximately 81 miles.
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X2+Y2−8X+6Y+21=0 Use the process of completing the square to rewrite the equation above as the equation of a circle in standard form , and identify the center and radius . The center is at the point ( , ) The radius is
Answer:
Step-by-step explanation:
hello : here is an solution
An icecream shop has 10 flavors. One can choose 4 different
flavors. What is the total number of possible flavor
combinations?
a.
252
b.
462
c.
120
d.
330
e.
210
2.
An ice cream shop has 10 flavors and one can choose 4 different flavors. The question asks for the total number of possible flavor combinations.Therefore, we need to find the number of ways in which 4 flavors can be chosen from 10 flavors.
In such cases where order does not matter and repetitions are not allowed, we can use the formula for combinations which is as follows:C(n, r) = n! / (r! (n - r)!)Where n is the total number of items, r is the number of items being chosen at a time and ! represents the factorial function.
Using this formula we can find the total number of possible flavor combinations. Substituting the values in the above formula, we get:C(10, 4) = 10! / (4! (10 - 4)!)C(10, 4) = (10 * 9 * 8 * 7) / (4 * 3 * 2 * 1)C(10, 4) = 210Hence, there are 210 possible flavor combinations when one can choose 4 different flavors
.Explanation:The formula to be used for this type of question is combination. Combination is the method of selecting objects from a set, typically without replacement (without putting the same item back into the set) and where order does not matter. The formula for combination is given by C(n,r)=n!/(r!(n-r)!).
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8. Mason bought a pair of running shoes for $36.98. If the sales tax is 6.5%, how much
did he pay in total?
Answer:
$39.38
Step-by-step explanation:
$36.98 * 6.5%= 2.4037
2.4037 + 36.98= 39. 3837
round up
$39.38
Answer:
39.38
Step-by-step explanation:
Can somebody help me with these two calculus questions? (100 points. Trash responses = report)
Answer:
(a) Assume that f(x) is a real-valued function defined for all real numbers x
on an open interval whose center is a certain real number a. What does
it mean to say that f(x) has a derivative f
0
(a) at x = a, and what is the
value of f
0
(a)? (Give the definition of f
0
(a).)
(b) Use the definition of f
0
(a) you have just given in part (a) to show that if
f(x) = 1
2x − 1
then f
0
(3) = −0.08.
(c) Find lim
h→0
sin7
π
6 +
h
2
−
1
2
7
h
.
2. Let I be a bounded function on R and define f by f(x) = x
2
I(x). Show that
f is differentiable at x = 0.
3. Use the definition of derivative to find f
0
(2) for f(x) = x +
1
x
.
4. If g is continuous (but not differentiable) at x = 0, g(0) = 8, and f(x) = xg(x),
find f
0
(0).
5. (a) State the definition of the derivative of f(x) at x = a.
(b) Using the definition of the derivative of f(x) at x = 4, find the value of
f
0
(4) if f(x) = √
5 − x.
6. Let f be a function that is continuous everywhere and let
F(x) = f(x) sin2 x
x
if x 6= 0,
0 if x =
Answer:
I 1st you have to draw an angle
and in 2nd you have to find out the angle
it is too easy
What is a common denominator for 2/3 and 1/2?
Answer:
6 or 7/6
Step-by-step explanation:
they are both prime so 2*3=6
4/6+3/6=7/6
Answer:
21/31/6/2/34861/27651/7266163)