3.0 Let T: R³ R be a temperature function defined as T(x, y, z) = x² - y² + 2xyz. Find the heat flux through the unit sphere S: x² + y² + ² = 1, i.e. evaluate the following integral: 1₁-0 (-VT) ndA where n is the outward normal on S.
3.0 Let T: R³ R be a temperature function defined as T(x, y, z) = x² - y² + 2xyz. Find the heat flux through the unit sphere S: x² + y² + ² = 1, i.e. evaluate the following integral: 1₁-0 (-VT) ndA where n is the outward normal on S.
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 8E: Assume xand yare functions of t.Evaluate dy/dtfor each of the following. ylnx+xey=1; dxdt=5, x=1,...
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