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Find the Absolute Maximum and Minimum Values of F(x, Y) π\pi

Question 21

Multiple Choice

Find the absolute maximum and minimum values of f(x, y) = 4(x - x2) sin( π\pi y) on the rectangle 0 \le x \le 1, 0 \le y \le 2 and the points where they are assumed.


A) maximum 1 at  Find the absolute maximum and minimum values of f(x, y)  = 4(x - x<sup>2</sup>)  sin( \pi y)  on the rectangle 0  \le  x  \le  1, 0  \le  y  \le  2 and the points where they are assumed. A)  maximum 1 at   , minimum 0 at   B)  maximum 2 at   , minimum -2 at   C)  maximum 1 at   , minimum -1 at   D)  maximum 1 at   , minimum 0 at (0, 0) , (1, 0) , (0, 2) , and (1, 2)  E)  maximum 1 at   , minimum 0 at   , minimum 0 at  Find the absolute maximum and minimum values of f(x, y)  = 4(x - x<sup>2</sup>)  sin( \pi y)  on the rectangle 0  \le  x  \le  1, 0  \le  y  \le  2 and the points where they are assumed. A)  maximum 1 at   , minimum 0 at   B)  maximum 2 at   , minimum -2 at   C)  maximum 1 at   , minimum -1 at   D)  maximum 1 at   , minimum 0 at (0, 0) , (1, 0) , (0, 2) , and (1, 2)  E)  maximum 1 at   , minimum 0 at
B) maximum 2 at  Find the absolute maximum and minimum values of f(x, y)  = 4(x - x<sup>2</sup>)  sin( \pi y)  on the rectangle 0  \le  x  \le  1, 0  \le  y  \le  2 and the points where they are assumed. A)  maximum 1 at   , minimum 0 at   B)  maximum 2 at   , minimum -2 at   C)  maximum 1 at   , minimum -1 at   D)  maximum 1 at   , minimum 0 at (0, 0) , (1, 0) , (0, 2) , and (1, 2)  E)  maximum 1 at   , minimum 0 at   , minimum -2 at  Find the absolute maximum and minimum values of f(x, y)  = 4(x - x<sup>2</sup>)  sin( \pi y)  on the rectangle 0  \le  x  \le  1, 0  \le  y  \le  2 and the points where they are assumed. A)  maximum 1 at   , minimum 0 at   B)  maximum 2 at   , minimum -2 at   C)  maximum 1 at   , minimum -1 at   D)  maximum 1 at   , minimum 0 at (0, 0) , (1, 0) , (0, 2) , and (1, 2)  E)  maximum 1 at   , minimum 0 at
C) maximum 1 at  Find the absolute maximum and minimum values of f(x, y)  = 4(x - x<sup>2</sup>)  sin( \pi y)  on the rectangle 0  \le  x  \le  1, 0  \le  y  \le  2 and the points where they are assumed. A)  maximum 1 at   , minimum 0 at   B)  maximum 2 at   , minimum -2 at   C)  maximum 1 at   , minimum -1 at   D)  maximum 1 at   , minimum 0 at (0, 0) , (1, 0) , (0, 2) , and (1, 2)  E)  maximum 1 at   , minimum 0 at   , minimum -1 at  Find the absolute maximum and minimum values of f(x, y)  = 4(x - x<sup>2</sup>)  sin( \pi y)  on the rectangle 0  \le  x  \le  1, 0  \le  y  \le  2 and the points where they are assumed. A)  maximum 1 at   , minimum 0 at   B)  maximum 2 at   , minimum -2 at   C)  maximum 1 at   , minimum -1 at   D)  maximum 1 at   , minimum 0 at (0, 0) , (1, 0) , (0, 2) , and (1, 2)  E)  maximum 1 at   , minimum 0 at
D) maximum 1 at  Find the absolute maximum and minimum values of f(x, y)  = 4(x - x<sup>2</sup>)  sin( \pi y)  on the rectangle 0  \le  x  \le  1, 0  \le  y  \le  2 and the points where they are assumed. A)  maximum 1 at   , minimum 0 at   B)  maximum 2 at   , minimum -2 at   C)  maximum 1 at   , minimum -1 at   D)  maximum 1 at   , minimum 0 at (0, 0) , (1, 0) , (0, 2) , and (1, 2)  E)  maximum 1 at   , minimum 0 at   , minimum 0 at (0, 0) , (1, 0) , (0, 2) , and (1, 2)
E) maximum 1 at  Find the absolute maximum and minimum values of f(x, y)  = 4(x - x<sup>2</sup>)  sin( \pi y)  on the rectangle 0  \le  x  \le  1, 0  \le  y  \le  2 and the points where they are assumed. A)  maximum 1 at   , minimum 0 at   B)  maximum 2 at   , minimum -2 at   C)  maximum 1 at   , minimum -1 at   D)  maximum 1 at   , minimum 0 at (0, 0) , (1, 0) , (0, 2) , and (1, 2)  E)  maximum 1 at   , minimum 0 at   , minimum 0 at  Find the absolute maximum and minimum values of f(x, y)  = 4(x - x<sup>2</sup>)  sin( \pi y)  on the rectangle 0  \le  x  \le  1, 0  \le  y  \le  2 and the points where they are assumed. A)  maximum 1 at   , minimum 0 at   B)  maximum 2 at   , minimum -2 at   C)  maximum 1 at   , minimum -1 at   D)  maximum 1 at   , minimum 0 at (0, 0) , (1, 0) , (0, 2) , and (1, 2)  E)  maximum 1 at   , minimum 0 at

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