Evaluate e(x2 + y2 + z2)3/2 where B is the ball: EXAMPLE 3 {(x, y, z) x² + y? + z² <4. B = 3 SOLUTION Since the boundary of B is a sphere, we use spherical coordinates: = {(e, 0, 4) 0s p s 2,0 s 0 s 21, 0 < 4 < In addition, spherical coordinates are appropriate because x² + y2 + z² = p². Thus this equation gives e(x2. + y2 + z2)3/2 elp?}3/2 dp d0 do de p?ep3 dp TT (2t)

Q: 2) If you are given two points in space, P1 (X1,yı) and P2 (X2,yz), demonstrate why the distance…

A:

Q: Write the sphere equationil odi lo anoitaupo ontemeeg bas Totoov bnif (d) x2 + y? + z2 + 2x - 4y –…

A:

Q: Consider the point whose Cartesian coordinates are (-1, –1,1) What are its cylindrical coordinates?…

A:

Q: Consider the point whose Cartesian coordinates are (-1, —1, 1). What are its cylindrical…

A: The objective of this question is to convert the given Cartesian coordinates into cylindrical…

Q: lindrical coordinates. (Choose r> 0 and -2π ≤ 0 < 0).

A:

Q: mange the point (-2,2, from rectangular to cylindrical coordinates and spherical coordinates. √²-25²…

A: Given ;  Point = (-2,2,1).

Q: Express the point (x, y, z) = (-2, 2, 2/2) in spherical coordinates.

A:

Q: Find the derivative of the function: O f(x) 0 17 16 0-17 4 17 4 O-17 16 2x - 7 3x - 2 at x = 2

A:

Q: Evaluate the function for the given values. K(x) = ||2x + 1] (a) 서를) (b) k(-2.2) (c) k(1.1) (d)

A: The given function is kx=⟦2x+1⟧, where ⟦·⟧ is greatest integer function. Definition: The greatest…