
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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The parametric equations x=2acot(θ),y=2asin2(θ) describe the curve known as the witch of Maria Agnesi. With a=9, suppose this curve is rotated about the x-axis. Estimate the area of the resulting surface using Simpson's Rule with n=4. Make sure your answer is correct to three decimal places.
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- Find parametric equations and a parameter interval for the motion of a particle that starts at (0, -a) and traces the circle x² + y² = a² a. once clockwise. b. once counterclockwise. c. three times clockwise. d. three times counterclockwise. L a. wnicn or the rollowing sets or equations couia trace the circle x +y = a once clockwise, starting at (U, -a)/ O A. x = -asin t, y = - acos t, 0≤t≤2 O B. X=-a cos t₁ y = asin t, 0≤t≤2 O c. xasin t, ya cos t, 0≤t≤ 2 OD. x = a cos t, y=- asin t, Ost≤2 b. Which of the following sets of equations could trace the circle x² + y² = a² once counterclockwise, starting at (0, - a)? O A. xa cos t, y = a sin t, 0≤t≤ 2 OB. X=-a cos t, y = - asin t, 0≤t≤2 OC. x = a sin t, y = - acos t, 0≤t≤2 O D. x= -asin t, y = acos t, 0≤t≤2arrow_forwardGiven the parametric curve. x = 5t2 – 6t + 4 y = t2 + 6t – 1 Please find 1) The slope of the curve 2) Find the concavity of the curve. 3) Find the points at which the tangent line of the curve is horizontal.arrow_forwardNote: Include equations to usearrow_forward
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