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

Question 45

Multiple Choice

Find the absolute maximum and absolute minimum values of f(x , y) = cos(x) + cos(y) - cos(x + y) - 1 on the closed square region bounded by the straight lines x = 0, y = 0, x = π\pi , and y = π\pi .


A) absolute minimum 0, absolute maximum  Find the absolute maximum and absolute minimum values of f(x , y)  = cos(x)  + cos(y)  - cos(x + y)  - 1 on the closed square region bounded by the straight lines x = 0, y = 0, x =  \pi , and y =  \pi . A)  absolute minimum 0, absolute maximum   B)  absolute minimum -4, absolute maximum   - 1 C)  absolute minimum -4, absolute maximum   D)  absolute minimum -2, absolute maximum 0 E)  absolute minimum -4, no absolute maximum
B) absolute minimum -4, absolute maximum  Find the absolute maximum and absolute minimum values of f(x , y)  = cos(x)  + cos(y)  - cos(x + y)  - 1 on the closed square region bounded by the straight lines x = 0, y = 0, x =  \pi , and y =  \pi . A)  absolute minimum 0, absolute maximum   B)  absolute minimum -4, absolute maximum   - 1 C)  absolute minimum -4, absolute maximum   D)  absolute minimum -2, absolute maximum 0 E)  absolute minimum -4, no absolute maximum - 1
C) absolute minimum -4, absolute maximum  Find the absolute maximum and absolute minimum values of f(x , y)  = cos(x)  + cos(y)  - cos(x + y)  - 1 on the closed square region bounded by the straight lines x = 0, y = 0, x =  \pi , and y =  \pi . A)  absolute minimum 0, absolute maximum   B)  absolute minimum -4, absolute maximum   - 1 C)  absolute minimum -4, absolute maximum   D)  absolute minimum -2, absolute maximum 0 E)  absolute minimum -4, no absolute maximum
D) absolute minimum -2, absolute maximum 0
E) absolute minimum -4, no absolute maximum

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