2. Use Stokes' Theorem to find the line integral of (2y, 3x, – 2) on C : the circle z? + y? = 4 in the ry-plane, counterclockwise when viewed from above. %3D

Q: Consider the surface xyz = 20. A. Find the unit normal vector to the surface at the point (5, 2, 2)…

A:

Q: Use Green's Theorem to evaluate the line integral. Orient the curve counterclockwise. O x2y dx,…

A:

Q: 4. Evaluate √² +² dzdy by changing to polar coordinates. Sketch the region of integration..

A:

Q: Use pola

A: Introduction: To convert the rectangular coordinates x,y into the polar coordinates r,θ, we have,…

Q: Compute the line integral -xdy + ydx 2(x-y)2 + 4xy where L is the circle (1-x)2 + y? 3 with a…

A: We will find parametric equation of L and then convert whole equation in parametric form

Q: Consider the integral (image 1) where C is the non-closed curve given by the upper portion of the…

A:

Q: 1. Calculate y³ $ £ (-2² - sinz) dz + ( + v) ds. + dx dy, 3 3 where C is the circle of radius 1…

A:

Q: Consider the contour represented in the following figure. The points marked on the figure are А(3,…

A:

Q: Let F = (3z + 3x²) ¿+ (6y + 4z + 4 sin(y²)) 3+ (3x + 4y + 6e²²) k (a) Find curl F. curl F - (b) What…

A: