If the integral 16 – y 16 – 2² – y² (22 + y? + 2?)dzdzdy 16 - -V16 – z* – y was converted into an integral in spherical coordinates, we would get: III o* sin(6)dpdød® 27 0. * sin(4)dpdød® 0. -4 27 0. 0.

Q: 2πT 1 I₂ = So dt. 13 + 5 cost Let I be the unit circle {z e C : |Z| = 1} parametrised in the…

A: Solution:Let z=eιθThen z=cosθ+ιsinθ (By Euler's…

Q: Find the coordinates of L" if ALMN with L(1, 2), M(-2, 6), and N(-1, 5) is rotated 90° about the…

A: Given: L(1,2) , M(-2,6), and N(-1,5)

Q: The height of a chair on a Ferris wheel is given by h 5.7 sin (0. 21t – 1.58) +7.9 - where h is the…

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Q: Write the equation in spherical coordinates. (a) 5x² - 2x + 5y² + 5z² = 0 Å sin (b) sin (1) 2x + 5y…

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Q: 4. Find_r(t), if_r'(t)=4sin(2t)i +8t³j and r(0) = 8i-3j. A) r(t)=-2 cos (2t)i+2t¹ j B) C) r(t)=-2…

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Q: nates. 7) Evaluate the iterated integral 23 /9-xx sin (x² + y²) dy dx by converting to polar coordi-

A: