Review 7.1 - 7.3 - Review7.17.3 Section 7.1 18....

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Review 7.1 – 7.3 Section 7.1 18. If  f(p,q,r) = e 2p+ 3q + r : a. Find  f (ln4, ln3, ln5) .  (No calculator!  Show steps.) b. What is the domain of  f(p,q,r) ? 19. Given the function  ( 29 2 7 , x y e f x y x y - = - - : a. Describe its domain.  b. Find f(-10, -13) Section 7.2 20. Given the function  f(x,y) = 5x 4 y 7  – 2x + 3y + e 3xy : a. Compute  f x (x,y) b. Compute  f y (x,y)   21. Compute  f xx (x,y) for the function  3 7 5 x y xe + 22. Compute  f yy (x,y)   for the function f(x, y) =  3 4 3 x y ye -
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Section 7.3 23. Find the critical points and classify each as being a minima, maxima, saddle point or other, for  f(x,y) = 8xy + 4x 3  – 3y 2 24.  A retailer carries two brands of an item, both of which he can obtain at a cost of $2 per item.  He estimates that if Brand A is sold of  x  dollars apiece and Brand B is priced  at  y  dollars apiece, consumers will buy  40 – 50x + 40y  of Brand A and  20 + 60x – 70y of Brand B each day.  How should the owner price each brand in order to maximize his  profit?
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Section 7.1
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This note was uploaded on 01/04/2012 for the course MAC 2233 taught by Professor Staff during the Fall '08 term at Miami Dade College, Miami.

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Review 7.1 - 7.3 - Review7.17.3 Section 7.1 18....

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