find the x- and y-intercepts of the generic ellipse described by x 2 m2 y 2 n2 = 1. find a parametric description of this ellipse
Answers
One possible parametrization that traces out the entire ellipse is:
x = m cos(t)
y = n sin(t), 0 ≤ t ≤ 2π
The generic equation for an ellipse with center at the origin is given by:
x^2/a^2 + y^2/b^2 = 1
where "a" and "b" are the lengths of the semi-major and semi-minor axes, respectively.
Comparing this to the given equation x^2/m^2 + y^2/n^2 = 1, we see that the lengths of the semi-major and semi-minor axes are a = m and b = n.
To find the x-intercepts, we set y = 0 and solve for x:
x^2/m^2 = 1
x = ±m
So the x-intercepts are (m, 0) and (-m, 0).
To find the y-intercepts, we set x = 0 and solve for y:
y^2/n^2 = 1
y = ±n
So the y-intercepts are (0, n) and (0, -n).
To find a parametric description of the ellipse, we can use the parametric equations for a circle:
x = m cos(t)
y = n sin(t)
where t is the angle parameter in radians. However, these equations will only trace out one quarter of the ellipse, so we need to use different intervals of t to trace out the full ellipse.
One possible parametrization that traces out the entire ellipse is:
x = m cos(t)
y = n sin(t), 0 ≤ t ≤ 2π
This will trace out the ellipse counterclockwise, starting at the point (m, 0) and ending at the same point after a full revolution.
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Related Questions
pleaseeeeeeeeeeeeeeeeeee answer
Answers
Answer:
The answer is y=x-5
Step-by-step explanation:
y=x-5
Sally eats lunch at a restaurant and her bill is $12. She would like to leave a 15% tip for the waiter.
How much should she leave for the tip?
Answers
Answer:
she will leave a $1.80 tip
Step-by-step explanation:
you have to cross multiply you have 12 a whole total then a percentage of 15%oover100% so multiply 15x12divided by 100
Write an assembly program that calculates the value of the following given polynomial, assuming signed integers x and y are stored in register r2 and r3, respectively. y = 2x4 + 3x² - 5x - 11.
Answers
The following is an assembly program that calculates the value of the given polynomial, assuming signed integers x and y are stored in register r2 and r3, respectively.
\(```.LIST.ALIGN 4 .GLOBAL _start_start: PUSH {R4, R5, LR}\)
\(MOV R4, R2 // R4 < - x MOV R5, #2 // R5 < - 2\)\(MUL R4, R4, R4 // R4 < - x^2 MUL R4, R4, R5 // R4 < - 2x^2 MOV R5, #3 // R5 < - 3\)
\(ADD R4, R4, R5, LSL #16 // R4 < - 2x^2 + 3x^2 MOV R5, #5 // R5 < - 5 MUL R5, R5, R2 // R5 < - 5x\)
\(SUB R4, R4, R5, LSL #16 // R4 < - 2x^2 + 3x^2 - 5x MOV R5, #11 // R5 < - 11 SUB R4, R4, R5, LSL #16 // R4 < - 2x^2 + 3x^2 - 5x - 11\)
\(MOV R3, R4 // R3 < - y POP {R4, R5, PC}.END```\)
Explanation: The polynomial is given as
\(`y = 2x^4 + 3x^2 - 5x - 11`.\)
To calculate this polynomial in assembly language, we need to perform the following steps:
Load the value of `x` into a register. We assume that `x` is stored in register `r2`.
Calculate \(`2x^2`\) and add \(`3x^2`\) to it. We first square the value of `x` by multiplying it with itself and then multiply it with `2`. We then add \(`3x^2`\) to this result. We store this result in register `r4`.
Calculate `5x` and subtract it from the result of step 2. We first multiply the value of `x` with `5` and then subtract it from the result of step 2. We store this result in register `r4`.
Subtract `11` from the result of step 3. We subtract `11` from the result of step 3 and store this result in register `r4`.
Load the value of `y` into a register. We assume that `y` is stored in register `r3`.
Return from the subroutine. We pop the registers from the stack and return from the subroutine.
The assembly program that is used to calculate the value of a given polynomial assuming signed integers x and y are stored in registers r2 and r3, respectively. The polynomial given is\(y = 2x4 + 3x² - 5x - 11\). In this assembly program, we load the value of x into a register, calculate 2x^2, add 3x^2 to it, subtract 5x from the result, and subtract 11 from the final result. The value of y is then stored in a register, and we return from the subroutine.
This assembly program is designed for 32-bit ARM architecture, and it can be run on any ARM processor. The program is written in ARM assembly language, which is a low-level programming language used to write programs that run on ARM processors. It is a complex language that requires a deep understanding of the processor architecture and instruction set.
In conclusion, the assembly program presented here can be used to calculate the value of a given polynomial using signed integers x and y stored in registers r2 and r3, respectively. This program can be adapted to calculate other polynomials or perform other arithmetic operations on ARM processors. It is a powerful tool for low-level programming and optimization, but it requires a significant amount of expertise to write and debug.
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suppose i roll a fair 6-sided die for four times what is the probability that i get at least one six
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If you roll a fair 6-sided die, each of the 6 outcomes (1, 2, 3, 4, 5, 6) is equally likely, with a probability of 1/6. This means that the probability of rolling a particular number, such as 6, is 1/6.
Rolling the die 4 times gives 6 to the power of 4 = 1296 possible outcomes. The probability of not rolling a 6 in one roll is 5/6, so the probability of not rolling a 6 in four rolls is (5/6)^4. This can be calculated as: 5/6 × 5/6 × 5/6 × 5/6 = 625/1296. To find the probability of rolling at least one 6, we can use the principle of imputed probability.
This means that the probability that an event will occur is equal to 1 minus the probability that the event will not occur. In this case, the probability of rolling at least one 6 is 1 - (the probability of rolling no 6). So 1 - 625/1296 = 671/1296 = about 0.518.
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-5(8a - b) - 2(-6a + 9b)
Need answer plis
Answers
a researcher is conducting a survey for which she currently has a 93% confidence level. what would be two actions that she could take that would be most likely to increase the confidence level in her survey results
Answers
The correct answer is B. Increase the sample size and modify the design of the survey to decrease the standard deviation.
What is confidence level?The confidence level in statistics denotes the likelihood that the estimation of the position of such a statistical parameter (e.g., an arithmetic mean) in a survey study is also true for such population.
Some characteristics of confidence level are-
When executing a survey, levels of confidence should be defined ahead of time because they determine the error margin as well as the required scope of the survey. Confidence ratings of 90/95/99% are regularly employed in surveys.If a confidence level is set at 95%, a derived statistical value based on a sample will likewise be true for the entire population within the set confidence level - with a 95% chance. In other words, the chances of the arithmetic mean (like a statistical number) of a population being exactly inside the margins of error calculated for the survey using a sample are very high.To know more about the confidence level, here
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The complete question is-
A researcher is conducting a survey for which she currently has 93% confidence level. What would be two actions that she could take that would be most likely to increase the confidence level in her survey result?
A. Increase the sample size and modify the design of the survey to increase the standard deviation.
B. Increase the sample size and modify the design of the survey to decrease the standard deviation.
C. Decrease the sample size and increase the randomness of the survey sample.
D. Modify the design of the survey to increase the standard deviation and decrease the randomness of the survey sample
Choose the best system of equations to represent the situation and determine the labels for the variables:
A tree that is 2 feet tall is growing at a rate of 1 foot per year. A 6-foot tall tree is
growing at a rate of .5 feet per year.
Answer choices
A) 2x + y = 3
6x + .5y =6.5
B) y = 2 + 1x
y = 6 + .5x
What do they represent?
X=
Y=
Answers
X represents the number of years grown
Y represents the total number of feet grown
Answer:
2x + y = 3
Step-by-step explanation: because if you do 2x1 you'll get 2
A 2-quart carton of non-dairy creamer costs $7.20. What is the price per cup?
Answers
Answer: 40 cents
Step-by-step explanation:
2 quarts = 8 cups = $3.20 divided by 8= 40 cents a cup
Please give brainliest:)
Tamara’s homework assignment was to determine the quotient of 53÷323. Her teacher marked her work as incorrect. Tamara’s calculations are below. 56÷323=56÷103=56×103=5018=21418=279 Determine the error(s) that Tamara made in her calculations, and find the correct quotient. Type your response and show your calculations in the box below.
Answers
Answer:
tht should be correct...
Step-by-step explanation:
Answer:
That is the correct answer.
Step-by-step explanation:
I need answer by 2:25!!!! Please hurry!!!!!
x=-2, y=5, z=3.
X^4-5y+2(x-z)^2.
A. 50.
B. -41.
C.41.
D. 63
Answers
Answer:
C
Step-by-step explanation:
-2^4-5(5)+2(-2-3)^2
16-25+2(25)
16-25+50
41
You are selling concessions at a local swim meet. Hot dogs are being sold for $1.00 and soda is being sold for $0.50. At the end of the day you made $150. Let x represent the number of hotdogs sold and y represent the number of and sodas sold at the swim meet.
-Using the Standard Form, identify the y-intercept of the graph and explain how the y-intercept relates to the number of hot dogs and sodas sold.
Answers
Answer:
Step-by-step explanation:
Let's set up an equation in standard form.
x + 0.5y = 150
0.5y = -x + 150
y = -2x + 300
The y-intercept is 300. This means that when 0 hot dogs were sold, 300 sodas were sold.
For what value of o, in degrees, is sin 0 = cos 58°?
Answers
Answer:sin32°
Step-by-step explanation:
Using the cofunction identity
cosx = sin(90 - x) , then
cos58° = sin(90 - 58)° = sin32°
Step-by-step explanation:
One equation in a system of linear equations is y=2x+1
a. write a second equation so that (1,3) is the only solution of the system
b. Write a second equation so that the system has infinitely many solutions
c. Write a second equation so that the system has no solutions
would appreciate answers
Answers
Step-by-step explanation:
Given equation:
y = 2x + 1a. write a second equation so that (1,3) is the only solution of the system
To have only one solution the equation must have a different slope.
Let it be 10, then the y-intercept of y = 10x + b is:
3 = 1*10 + b ⇒ b = -7And the equation:
y = 10x - 7b. Write a second equation so that the system has infinitely many solutions
To have infinitely many solutions, both equations must be same:
y = 2x + 1c. Write a second equation so that the system has no solutions.
To have no solutions, the equations must have same slope but different y-intercepts:
y = 2x + 5in which situation would it be necessary to use a within-groups anova?
Answers
A within-groups ANOVA, also known as a repeated-measures ANOVA, is used to analyze the differences between three or more groups of scores when each individual or subject is measured more than once.
This type of ANOVA is appropriate in situations where you have measured the same group of individuals or subjects under multiple conditions, treatments, or time points.
Here are some situations where it would be necessary to use a within-groups ANOVA:
A medical researcher investigating the effects of different dosages of a drug on blood pressure.
A psychologist interested in the effects of different types of therapy on depression.
An educational researcher wants to compare the effectiveness of three different teaching methods on students' test score.
In all of these situations, a within-groups ANOVA would be necessary to compare the means of the different conditions or treatments while accounting for the fact that each participant was measured multiple times.
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You have 2 different savings accounts. For Account A, the simple interest earned after 21 months is $9. 45. For ulo, l le interest rate is 3. 6% for Account A and 2. 4% for Account B, how much is the principal in each account? Which account earned you the most interest the first month? Explain your answer
Answers
The principal for Account A is $150, and we do not have enough information to find the principal for Account B. Account A earned the most interest the first month because it has a higher monthly interest rate.
About interest ratesThe principal for Account A can be found using the formula for simple interest:
I = Prt, where I is the interest, P is the principal, r is the interest rate, and t is the time in years.
Rearranging the formula to solve for P, we get P = I / (rt).
For Account A, the interest is $9.45, the interest rate is 3.6%, or 0.036, and the time is 21 months, or 1.75 years.
Plugging these values into the formula, we get:
P = $9.45 / (0.036 × 1.75) = $150
So the principal for Account A is $150.
For Account B, we do not have enough information to find the principal. We know the interest rate, but we do not know the interest or the time.
To determine which account earned the most interest the first month, we can compare the monthly interest rates.
The monthly interest rate for Account A is 3.6% / 12 = 0.3%, and the monthly interest rate for Account B is 2.4% / 12 = 0.2%.
Since the monthly interest rate for Account A is higher, it earned the most interest the first month.
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Helppppppppppppppppppppp
Answers
Answer: 3. 200ft 4. 21ft
5. 37.5m 6. h=4.2ft
Step-by-step explanation:
Find the volume of a sphere whose radius is 13 feet. Round your answer to two decimal places. (use = 3.14)
Answers
Answer:
9,202.77
Step-by-step explanation:
This is off of g/o/o/g//l/e/// btw hope this helped
Please help me out!!!
Answers
Answer:
(0,4)
Step-by-step explanation:
You have a coupon for 15% off any purchase at an electronics store. If you buy a $120 tablet, how much will you save?
Answers
Answer:
18 dollars
Step-by-step explanation:
If you buy a $120 tablet you will save $18 because 15% of $120 = $102 and $120 - $102 = $18.
The complement of a 42° angle is
The supplement of a 42° angle is
The complement of an 81° angle is
The supplement of an 81° angle is
Answers
2. 138°
3. 9°
4. 99°
Answer:
1.48
2.138
3.9
4.99
Step-by-step explanation:
I hoped I helped
Select the correct answer. Let f(x) and g(x) be polynomials as shown below. Which of the following is true about f(x) and g(x)? f(x) and g(x) are closed under multiplication because when multiplied, the result will be a polynomial. f(x) and g(x) are closed under multiplication because when multiplied, the result will not be a polynomial. f(x) and g(x) are not closed under multiplication because when multiplied, the result will be a polynomial. f(x) and g(x) are not closed under multiplication because when multiplied, the result will not be a polynomial.
Answers
f(x) and g(x) are not closed under subtraction because when subtracted, the result will be a polynomial, the correct option is B.
What is Polynomial?A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminate in mathematics. Majorly used polynomials are binomial and trinomial.
Given f(x) and g(x) two polynomial functions in the standard form of the polynomial,
According to Closure Property, when something is closed, the output will be the same as the input.
The polynomials f(x) and g(x) can be seen in the image.
On subtracting the two polynomials, the output will be a polynomial and so it is closed under subtraction.
Therefore, The reason why f(x) and g(x) are not closed under subtraction is that the outcome of subtraction will be a polynomial, making option B the best choice.
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Complete question:
Graph the solution to this inequality on the number line.
−4m+3>11
Answers
Subtract numbers
-4m>11-3
Evaluate and subtract
-4m>8
Divide by -4
Solution
M<-2
Answer: The person above me is correct. Here is a picture if you still dont get it..
Step-by-step explanation:
yeah so can u help me
Answers
Answer: 5 - 9 = -4
Step-by-step explanation:
So 0 represents your starting point. The arrow starting at 0 is going to the right, so it's adding. It ends at 5, so that means the problem begins with 5. The next arrow starts at 5, then goes back to -4, going back 9 spaces. So far we have 5 - 9. It all stops at -4, so that makes it 5 - 9 + -4.
Write an expression to represent the sum of three times the square of a number and -7.
In your expression, what is the value of the constant?
O A 3
OB. 1
Ос.
-7
o
D.
2
Answers
Answer:
C: -7
Step-by-step explanation:
In 3x^2-7, 3 is the coefficient, x is the variable, and -7 is the constant.
Carlos can read 30 pages per hour in the 270 page book he is reading. At this rate, how long will it take him to finish his book?
Answers
Answer:
9 hours
Step-by-step explanation:
270/30=9
*help*
Write an addition equation or a subtraction equation (your choice!) to describe the diagram.
Answers
Answer:
-4 - 9
Step-by-step explanation:
The arrow on the right points to -4 on the number line, so we know that the equation must start with -4. Then, the longer arrow on the left extends the first arrow 9 units to the left, thus -4 + (-9). Simplify, and we get -4 - 9.
40 Points
A bag contains 7 blue marbles, 3 red marbles, and 15 white marbles (and no other marbles). One marble is chosen without looking. What is P(white)?
Answers
Answer:
Step-by-step explanation:
P(white) is 3/5. So how we find it is first you find how much in total are in the bag. You add up 7 + 3 + 15 and get 25. That means there are 25 total outcomes. Since there are 15 white marbles, that means you have a 15/25 chance of picking a white marble. Simplify 15/25 and you get 3/5/
Read the statement.
Doubling the dimensions of a rectangle increases the area by a factor of 4.
If p represents doubling the dimensions of a rectangle and q represents the area increasing by a factor of 4, which are
true? Select two options.
Op q represents the original conditional statement.
~p~q represents the inverse of the original conditional statement.
q- p represents the original conditional statement.
-q- ~p represents the converse of the original conditional statement.
Op q represents the contrapositive of the original conditional statement.
-
Mark this and return
Submit
Next
Answers
The options that are true as a result of doubling the rectangle dimensions are;
p → q represents the original conditional statement.
p → ~q represents the contrapositive of the original conditional statement.
What are conditional statements?We are told that;
Doubling the dimensions of a rectangle increases the area by a factor of 4.
Now, p represents doubling the dimensions of a rectangle and q represents the area increasing by a factor of 4.
Thus, using conditional statements notation, we can say that;
p → q represents the original conditional statement.
p → ~q represents the contrapositive of the original conditional statement.
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What is the y=mx+b formula for these points: (67,67), (65,65), (63,63), (69,69), (57,57), (65,65), (68,66), (48,48), (72,72)?
Answers
Were using the following formula to determine a line's equation using two points: Assuming (x1, y1) & (x2, y2) represent two important points on the line, y2 - y1 Equals m(x2 - x1).
What is a mathematical point?A point in mathematics is symbolized by such a dot (.) and utilized to indicate an accurate location in space. It lacks all three dimensions—length, breadth, and height. It has no size, in other terms. A point's name is often written in all caps.
A straight line is mathematically represented by the equation y=mx+b. The y-intercept, or point at which line crosses the y-axis, is denoted by the letters "b," whereas the letters "m" denote the slope of the line.
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send help pleaseeeeeeeeeeeeee
Answers
MY ANSWER WITH SOLVING STEPS
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