(Note: this is not the same problem as last week's Problems of the Week.) Suppose that...
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(Note: this is not the same problem as last week's Problems of the Week.) Suppose that f(x, y) is a function such that fx < 0, fy > 0, fxx > 0, fyy > 0, and fay <0 on the region R = {(x, y) | 0 ≤ x ≤ 4,0 ≤ y ≤ 4}. For each pair of quantities in the following table, decide whether the quantity in Column A is greater, the quantity in Column B is greater, the two quantities are the same, or it cannot be determined which quantity (if any) is greater. If it cannot be determined which quantity is greater, then give specific examples of functions for which the answer would be different; that is, give a function f for which, say, the quantity in Column A is greater than the quantity in Column B, and another function g for which this is not true. (Of course, your functions should satisfy the given conditions in the region; be sure to include those computations.) Column A f(3,2)-f(2, 2) f(1,1) f(3,3)-f(3,2) f(3,2)-f(2, 2) Column B ƒ(2,3)-f(2, 2) ƒ(2, 2) f(3,2)-f(3,1) f(3, 1)-f(2,1) (Note: this is not the same problem as last week's Problems of the Week.) Suppose that f(x, y) is a function such that fx < 0, fy > 0, fxx > 0, fyy > 0, and fay <0 on the region R = {(x, y) | 0 ≤ x ≤ 4,0 ≤ y ≤ 4}. For each pair of quantities in the following table, decide whether the quantity in Column A is greater, the quantity in Column B is greater, the two quantities are the same, or it cannot be determined which quantity (if any) is greater. If it cannot be determined which quantity is greater, then give specific examples of functions for which the answer would be different; that is, give a function f for which, say, the quantity in Column A is greater than the quantity in Column B, and another function g for which this is not true. (Of course, your functions should satisfy the given conditions in the region; be sure to include those computations.) Column A f(3,2)-f(2, 2) f(1,1) f(3,3)-f(3,2) f(3,2)-f(2, 2) Column B ƒ(2,3)-f(2, 2) ƒ(2, 2) f(3,2)-f(3,1) f(3, 1)-f(2,1)
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ANILORY Given fox y such that fex 1 fx 0 ii fy 70 11 fxx 70 iv Fyy 0 v fry 0 ... View the full answer
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Business and Administrative Communication
ISBN: 978-0073403182
10th edition
Authors: Kitty o. locker, Donna s. kienzler
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