1. Convert the integral in polar coordinates: 8e-2-y? I F(r, 0) dr de е dy dæ a = [ Select ] b = [ Select ] C = 4 f(r, 0) = [Select ] |3D

Q: = (1 – t)i + (4 + t)j ess your answer as an ir erical answer only.

A:

Q: Evaluate the line integral (2 yi + (r- 2)j+ zyzk) · dr where C is the parametric curve r(t) = ti +…

A:

Q: Use Stokes' Theorem to caleulate ſ. F - dř, where F = zyi+3=3+5zk, and C is the closed path around a…

A:

Q: V4-x² e-z²-y² 12. Use a change to polar coordinates to evaluate the integral dy dr.

A: Answer

Q: Let Q be the rectangle formed by (0, 0, 0), (1, 0, 0), (0, 1, 1) and (1, 1, 1) oriented CCW as x² dx…

A:

Q: the value of $[(3x + 4y) dx + (2x + 3y2) dy] around the circle x² + y² = 4. Find the line integral…

A:

Q: y2 f(x, y)dx dy Let f(x, y) = e-x2-y² and

A: answer is in next step

Q: to polar coordinates turns into an integral S S" x² + y² dxdy When converting the integral

A:

Q: 6) Convert the integral to polar coordinates and evaluate xydx dy y

A:

Q: Evaluate the unoriented line integral +y² + z²) ds along the parametric curve a : [0, 1] → R³ with…

A:

Q: Evaluate the integral | 3 19-x? cos(x² + y´)dydx by converting to polar coordinates

A: We have to solve the given question.

Q: . Convert the following double integral to polar coordinates and then evaluate: 4-y2 (a2 + y?)dxdy.

A: Put x = r cos(theta)        y = r sin(theta) dx dy = r dr d(theta)

Q: 2./o(1-음)'da

A: topic - integration

Q: Sexyz ds, C: x= 2 sin t, y = t, z= -2 cos t, 0sts T

A:

Q: 3 V9-y2 / / (x² + y²) dx dy

A: