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7. (*) We draw randomly a point in the unit circle in the following way: first...
Problem 5 . This question considers uniform random points on the unit disc x2+92 〈 1...
Problem 5 . This question considers uniform random points on the unit disc x2+92 〈 1 (a) A point (X, Y) is uniformly chosen in the unit disc. Find the CDF and PDF of its distance from the origin R X2 +Y2 (b) Compute the expected distance from the origin. (c) Determine the marginal PDF of X and Y (d) Are X and Y independent? (Justify your claims) e) One way to generate uniform random points on this disc is...
7. (15 points) Let Xi and X2 be the position of two points drawn uniformly randomly and independently from the interval [0, 1]. Define Y = max(X,Xy) and Z-X1 + X2. (1) Calculate the joint PDF of...
7. (15 points) Let Xi and X2 be the position of two points drawn uniformly randomly and independently from the interval [0, 1]. Define Y = max(X,Xy) and Z-X1 + X2. (1) Calculate the joint PDF of Y and Z. (2) Derive the marginal PDF of both Y and Z. Are Y and Z independent?
7. (15 points) Let Xi and X2 be the position of two points drawn uniformly randomly and independently from the interval [0, 1]. Define Y...
Question 10 > In a circle of radius 3 miles, the length of the arc that...
Question 10 > In a circle of radius 3 miles, the length of the arc that subtends a central angle of 6 radians is miles. ho > Next Question Question 11 < > Find the coordinates of a point on a circle with radius 20 corresponding to an angle of 265 (x,y) =( Question 14 <> Write in Polar form: r(cos( + i sin 0). (0 < 0 < 27 and round to 3 decimal places) -12 + 6i T=...
7. A particle moves in the anticlockwise direction along a circle with a radius of 13 cm at the c...
7. A particle moves in the anticlockwise direction along a circle with a radius of 13 cm at the constant rate of 10 revolutions per minute (a) Find the rate of change of the particle's coordinates (x, y) with time at the moment when r = 12 cin and y = 5cm. Hint: express both r and y via angle of revolution, θ. (b) Challenge: Find the rate of change of the distance D between the particle and the point...
Please help with this MATLAB problem! I'm writing in MATLAB_R2018b if that makes a difference:) 7....
Please help with this MATLAB problem! I'm writing in
MATLAB_R2018b if that makes a difference:)
7. Write a Matlab function (HW07 07.m) that takes 4 arguments and returns two arrays. The arguments are the Xc and yc coordinates of the center of a circle, the radius r of the circle, and the number of points n on the circle. The function should create a list of n equally-spaced angle values ranging from 0 to 2n. Then, for each angle value,...
019.09 points | Previous Answers SerCP9 1.AE.009 EXAMPLE 1.9Cartesian and Polar Coordinates GOAL Understand how to...
019.09 points | Previous Answers SerCP9 1.AE.009 EXAMPLE 1.9Cartesian and Polar Coordinates GOAL Understand how to convert from plane rectangular coordinates to plane polar coordinates and vice versa. y (m) PROBLEM (a) The Cartesian coordinates of a point in the xy-plane are (x,y) (-3.50 m, -2.50 m), as shown in the NY figure. Find the polar coordinates of this point. (b) Convert (r, θ) = (5.00 m, 37.0°) to rectangular coordinates x (m) (-3.50,-2.50) STRATEGY Apply the trigonometric functions and...
13. (5 points) Reverse the order of integration for the following iterated integral. You do not...
13. (5 points) Reverse the order of integration for the following iterated integral. You do not have to integrate. cos y dy dx 14. (5 points) Integrate the function g(r,0) = p sin over the sector of a disc in the first quadrant bounded by the circle r² + y2 = 1, the circle r² + y2 = 4, the line y = rV3, and the r-axis. 15. (5 points) Convert the following iterated integral from Cartesian to polar. You...
Seard 2. Evaluate without using a calculator. Draw a picture. Show and label where your answer...
Seard 2. Evaluate without using a calculator. Draw a picture. Show and label where your answer lies. What is the reference angle? Write your answer as an exact value. You must show your work. Do not skip steps. v2 2 a. sin b. tan (13) 3. Find the length of the arc s intercepted by a central angle 0 = 330 in a circle of radius r =6 in. Round your answer to the nearest tenth. 1 4. If cos...
Convert the following equation to Cartesian coordinates. Describe the resulting curve. r= - 8 cos 0-6...
Convert the following equation to Cartesian coordinates. Describe the resulting curve. r= - 8 cos 0-6 sin 0 Write the Cartesian equation. Describe the curve. Select the correct choice below and, if necessary, fill in any answer box O A. The curve is a circle centered at the point with radius (Type exact answers, using radicals as needed.) B. The curve is a vertical line with x-intercept at the point (Type exact answers, using radicals as needed.) O C. The...
first one is example. i need to solve second picture. 3,4 picture apply to step 1...
first one is example.
i need to solve second picture. 3,4 picture apply to step 1 and 2.
that is CAD problems thanks
Objective: The following figures represent model views in an engineering drawing. First, inspect each cross-section and write down observations about the geometry le... shape is square, all rounds are equal in size, etc.). Second, determine the DOF of curves. Third, determine the DOF removed by constraints (e.8., 1 pair of parallel lines removes 1 DOF, etc.). Finally,...
Problem 5 . This question considers uniform random points on the unit disc x2+92 〈 1 (a) A point (X, Y) is uniformly chosen in the unit disc. Find the CDF and PDF of its distance from the origin R X2 +Y2 (b) Compute the expected distance from the origin. (c) Determine the marginal PDF of X and Y (d) Are X and Y independent? (Justify your claims) e) One way to generate uniform random points on this disc is...
7. (15 points) Let Xi and X2 be the position of two points drawn uniformly randomly and independently from the interval [0, 1]. Define Y = max(X,Xy) and Z-X1 + X2. (1) Calculate the joint PDF of Y and Z. (2) Derive the marginal PDF of both Y and Z. Are Y and Z independent?
7. (15 points) Let Xi and X2 be the position of two points drawn uniformly randomly and independently from the interval [0, 1]. Define Y...
Question 10 > In a circle of radius 3 miles, the length of the arc that subtends a central angle of 6 radians is miles. ho > Next Question Question 11 < > Find the coordinates of a point on a circle with radius 20 corresponding to an angle of 265 (x,y) =( Question 14 <> Write in Polar form: r(cos( + i sin 0). (0 < 0 < 27 and round to 3 decimal places) -12 + 6i T=...
7. A particle moves in the anticlockwise direction along a circle with a radius of 13 cm at the constant rate of 10 revolutions per minute (a) Find the rate of change of the particle's coordinates (x, y) with time at the moment when r = 12 cin and y = 5cm. Hint: express both r and y via angle of revolution, θ. (b) Challenge: Find the rate of change of the distance D between the particle and the point...
Please help with this MATLAB problem! I'm writing in
MATLAB_R2018b if that makes a difference:)
7. Write a Matlab function (HW07 07.m) that takes 4 arguments and returns two arrays. The arguments are the Xc and yc coordinates of the center of a circle, the radius r of the circle, and the number of points n on the circle. The function should create a list of n equally-spaced angle values ranging from 0 to 2n. Then, for each angle value,...
019.09 points | Previous Answers SerCP9 1.AE.009 EXAMPLE 1.9Cartesian and Polar Coordinates GOAL Understand how to convert from plane rectangular coordinates to plane polar coordinates and vice versa. y (m) PROBLEM (a) The Cartesian coordinates of a point in the xy-plane are (x,y) (-3.50 m, -2.50 m), as shown in the NY figure. Find the polar coordinates of this point. (b) Convert (r, θ) = (5.00 m, 37.0°) to rectangular coordinates x (m) (-3.50,-2.50) STRATEGY Apply the trigonometric functions and...
13. (5 points) Reverse the order of integration for the following iterated integral. You do not have to integrate. cos y dy dx 14. (5 points) Integrate the function g(r,0) = p sin over the sector of a disc in the first quadrant bounded by the circle r² + y2 = 1, the circle r² + y2 = 4, the line y = rV3, and the r-axis. 15. (5 points) Convert the following iterated integral from Cartesian to polar. You...
Seard 2. Evaluate without using a calculator. Draw a picture. Show and label where your answer lies. What is the reference angle? Write your answer as an exact value. You must show your work. Do not skip steps. v2 2 a. sin b. tan (13) 3. Find the length of the arc s intercepted by a central angle 0 = 330 in a circle of radius r =6 in. Round your answer to the nearest tenth. 1 4. If cos...
Convert the following equation to Cartesian coordinates. Describe the resulting curve. r= - 8 cos 0-6 sin 0 Write the Cartesian equation. Describe the curve. Select the correct choice below and, if necessary, fill in any answer box O A. The curve is a circle centered at the point with radius (Type exact answers, using radicals as needed.) B. The curve is a vertical line with x-intercept at the point (Type exact answers, using radicals as needed.) O C. The...
first one is example.
i need to solve second picture. 3,4 picture apply to step 1 and 2.
that is CAD problems thanks
Objective: The following figures represent model views in an engineering drawing. First, inspect each cross-section and write down observations about the geometry le... shape is square, all rounds are equal in size, etc.). Second, determine the DOF of curves. Third, determine the DOF removed by constraints (e.8., 1 pair of parallel lines removes 1 DOF, etc.). Finally,...
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