(>Answer 28. x= cos3t, y= sin3 t, for o sts 2r. PROBLEMS - In Problems 29-32, set up definite integral(s) to find the volume obtained when the region between y and ysr is rotated about the given axis. Do not evaluate the integral(s). 29. The x-axis >Answer > Solution 30. The y-axis 31. The line y = -4 Answer V = - (4+ 5z)? - (4+ z*)*)dz 32. The line x = -3 44 12 56F 12 O Type here to search
(>Answer 28. x= cos3t, y= sin3 t, for o sts 2r. PROBLEMS - In Problems 29-32, set up definite integral(s) to find the volume obtained when the region between y and ysr is rotated about the given axis. Do not evaluate the integral(s). 29. The x-axis >Answer > Solution 30. The y-axis 31. The line y = -4 Answer V = - (4+ 5z)? - (4+ z*)*)dz 32. The line x = -3 44 12 56F 12 O Type here to search
(>Answer 28. x= cos3t, y= sin3 t, for o sts 2r. PROBLEMS - In Problems 29-32, set up definite integral(s) to find the volume obtained when the region between y and ysr is rotated about the given axis. Do not evaluate the integral(s). 29. The x-axis >Answer > Solution 30. The y-axis 31. The line y = -4 Answer V = - (4+ 5z)? - (4+ z*)*)dz 32. The line x = -3 44 12 56F 12 O Type here to search
Question 30 please just set up the the definite integral
Transcribed Image Text:26. x = cos (e'), y = sin (e') for o sts1. Explain why your answer is reasonable.
27. x = cos (3t), y = sin (5t) for o sts 27.
Answer
28. x = cos3 t, y = sin3 t, for o sts 2r.
PROBLEMS
- In Problems 29-32, set up definite integral(s) to find the volume obtained when the region between y and y Sr is rotated about the given axis. Do not
evaluate the integral(s).
29. The x-axis
Answer
O Solution
30. The y-axis
31. The line y = -4
Answer
7((4 + 5z)? - (4+ z²)*)dz
V =
32. The line x = -3
443
12-10 AM
12/2/2021
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O Type here to search
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
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