Evaluate the integral dV, where E is the region below the paraboloid E 2 + y? + z = 7 and above the cone z = 4 – 22 + y². You may need one of the following identities: sin(20) = 2 sin 0 cos 0 Cos(20) = 2 cos0-1 cos(20) = 1– 2 sin? 0 %3D

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.4: Related Rates
Problem 9E: Assume xand yare functions of t.Evaluate dy/dtfor each of the following. cos(xy)+2x+y2=2; dxdt=2,...
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Evaluate the integral |
dV , where E is the region below the paraboloid
T² + y?
E
2+ y? + z = 7 and above the cone z = 4 – 2/T? + y?. You may need one of the following
identities:
= 2 sin 0 cos 0
cos(20) = 2 cos² 0 – 1
cos(20) = 1 –2 sin? 0
Transcribed Image Text:Evaluate the integral | dV , where E is the region below the paraboloid T² + y? E 2+ y? + z = 7 and above the cone z = 4 – 2/T? + y?. You may need one of the following identities: = 2 sin 0 cos 0 cos(20) = 2 cos² 0 – 1 cos(20) = 1 –2 sin? 0
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,