Just answer question #2 please . Show full work . 1) ƒ_²₁ √ √√¹²(x² + y²) dxdydz Convert the integral to cylindrical coordinates andintegrate.2) ƒÑƒ (x² + y² + z²)² dv D is the unit ball. Integrate using sphericalcoordinates.3) Evaluate f (xy + 2z) ds. C is the line segment from (1,0,0) to (0,1,1).4) Use Green's Theorem to evaluate √ √1+x³dx + 2xydy. C is the triangle with vertices(0,0), (1,0), and (1,3).5) Find the potential function of F(x, y, z) = (e²+ ye*, ex + zey, ey + xe² ).6) F(x, y, z) = (xy²z4, 2x²y+z, y³z²) a) Find curlF. b) Find divF.7) Use the double integral of a cross product to find the surface area of x = z² + y that liesbetween the planes y = 0, y = 2, z = 0, and z = 2.

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Answered: 2) fff (x² + y² + z²)ž dv D is the unit…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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2) fff (x² + y² + z²)ž dv D is the unit ball. Integrate using spherical coordinates.