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 5E: Assume x and y are functions of t. Evaluate dydtfor each of the following. x2+yxy=9; dxdt=2,x=4,y=2
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![1. A homogeneous function is one such that f(tx, ty) = tª f(x, y) for some a.
(a) Show that f(x, y) = x³ + y³ is homogeneous.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb05a2df2-fa5e-426e-8211-a1453c248cc9%2F0e3addfe-ab17-4329-8bef-c936f5d16dc0%2Fib60yep_processed.png&w=3840&q=75)
Transcribed Image Text:1. A homogeneous function is one such that f(tx, ty) = tª f(x, y) for some a.
(a) Show that f(x, y) = x³ + y³ is homogeneous.
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