17. Find the equation of the tangent plane to the surface x²z² = y² at (1,4,-2). 18. Convert the triple integral √ √³ √√36-x2√36-x²-y² In √x²+y²+z2+1 √x²+y2 x²+y²+z2 dzdydx to spherical coordinates and then complete the integration. Describe the region being integrated (over).

Calculus: Early Transcendentals
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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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I need help with this problem described below and an explanation for the solution. (Calculus 3)

17. Find the equation of the tangent plane to the surface x²z² = y² at (1,4,-2).
18. Convert the triple integral √ √³
√√36-x2√36-x²-y² In √x²+y²+z2+1
√x²+y2
x²+y²+z2
dzdydx to spherical
coordinates and then complete the integration. Describe the region being integrated (over).
Transcribed Image Text:17. Find the equation of the tangent plane to the surface x²z² = y² at (1,4,-2). 18. Convert the triple integral √ √³ √√36-x2√36-x²-y² In √x²+y²+z2+1 √x²+y2 x²+y²+z2 dzdydx to spherical coordinates and then complete the integration. Describe the region being integrated (over).
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