Evaluate SF.nds.... F(x,y,z)=(2z - y)i + xj - 2xk, and S: a sphere of radius 1 centered at the origin, and n is outward. 'S

Q: Let S: x² + y² + z² + ax+by+cz= d be the sphere with radius r= 9 and centre on the z axis, with…

A: The sphere x2+y2+z2+ax+by+cz=d and has a radius 9 and center on the z axis with coordinate zc=4 To…

Q: Let the surface S: x + y? +z? - 14x – 7y + 14 = 0. Which of the following is true? 3/39 O A.S is a…

A: Given The surface equation is S: x2+y2+z2-14x-7y+14=0 .

Q: Let f (z) = 470 = Q A = 2and B= 2 + 2Let C1 be the contour composed of the line segments O Aand AB…

A: Let x(t) and y(t) be two real valued continuous function an[a, b] then z(t)=x(t)+iy(t), t∈[a,b] is…

Q: Let B be the ball with center at the origin and radius 1 SS $3(x² + y? + z²)dV = B

A: Solve integral by using Cylindrical cordinates

Q: EX Find the reglon in the z-plane represented bye

A: Given

Q: Find the center C and the radius r of the sphere S :x2 +y? + z2 - 2x 4y + 4z = 16 O C (2, 4, -4) and…

A:

Q: Use Stoke's Theorem to evaluate $. F · dR, where F (x, y, z) = (z²,xy, xz) and C is the triangle in…

A:

Q: Find the point on the sphere x +y +z = 4 that is close O A. V11 V11 9. V11 (유 O B. 11 V11 V11

A: Solution of the problem as follows

Q: Evaluate /| cos(x? + y²) dA, where D is the D disk x? + y <I Select one: a. -n O b. A O c. O O d. 2…

A:

Q: (2u cos v, 3u sin v, u²) and find tangent plane at Describe/Sketch the surface given by r = (0,6,4)

A: Given, To find: equation of tangent plane ate (0,6,4)

Q: Q: If the point (x, y) is equi distant from the points (a+ b,b-a) and (a-b,b+a). Prove that bx = ay.

A: Use given conditions to prove bx=ay

Q: Let the center of Earth be located at the origin of a sphere O(0, 0, 0), with the positive z-axis…

A: City is located at 36.78°N and 124.44°W. Assume the radius of Earth is 4000 mi.To Find: Express the…

Q: b) Find the angle between the surfaces x² + y² + ² = 19 and 2 = 2 x² + y²-7 at the point (3, 1, 3):

A:

Q: Find a parametrization for the portion of the sphere x2 +y2 + z2 - 16 between the planes z =- 2/2…

A: we have been given a sphere x2+y2+z2=16 between the planes z=-22 and z=2

Q: The sphere, x + y² + z? – 4y + 2z – 20 = 0, has a center at which point? (0,-2,-1) (0,2,-1) (2,1,1)…

A:

Q: Let f (z) = 3O = 0 A = 10and B= 10 + 10iet C1 be the contour composed of the line segments OAand…

A: Solution  Given  A=10   ,  B=10+10i

Q: Please help.

A: Note: The tangent plane to the surface given by f(x, y, z) = 0 at (x0, y0, z0) has the equation,…

Q: Evaluate [[[ =*dxcydz over the sphere x +y² +=² =1.

A: to find:- to evaluate the given integral.

Q: The plane ४| + y + NIT = 1 intersects the x-, y-, and z-axes in points P, Q, R. Find the area of the…

A: