K Find the area of a cone (not including the base) with base radius r and height h using a parametric description of the surface, where r and h are positive constants. Complete the parametric description of a cone with the vertex at the origin. r(u,v)=cos usinu,v) where Osus 2x and Osvsh or Evaluate tau Evaluate t = Evaluate the magnitude of the cross product. Then evaluate the integral to find the area. A= or OV 2x h [[(√²+²) 00 dv du =

Calculus: Early Transcendentals
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ISBN:9781285741550
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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Find the area of a cone (not including the base) with base radius r and height h using a parametric description of the surface, where r and h are positive constants
Complete the parametric description of a cone with the vertex at the origin.
r(u,v)=cos usin u,v) where Osus 2x and Osvsh
Evaluate t =
Evaluate t =
or
au
ər
A=
av
Evaluate the magnitude of the cross product.
Then evaluate the integral to find the area.
2x h
[[[***]
+h² dv du =
Transcribed Image Text:K Find the area of a cone (not including the base) with base radius r and height h using a parametric description of the surface, where r and h are positive constants Complete the parametric description of a cone with the vertex at the origin. r(u,v)=cos usin u,v) where Osus 2x and Osvsh Evaluate t = Evaluate t = or au ər A= av Evaluate the magnitude of the cross product. Then evaluate the integral to find the area. 2x h [[[***] +h² dv du =
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