Find all the local maxima, local minima, and saddle points of the function.
A. f(0, 0) = 641, local maximum; f(2, 5) = 0, local minimum; f(2, -5) = 0, local minimum; local minimum; f(-2, -5) = 0, local minimum
B. f(0, 0) = 641, local maximum; f(-2, -5) = 0, local minimum
C. f(0, 0) = 641, local maximum; f(0, 5) = 16, saddle point; f(2, 0) = 625, saddle point;
f(2, 5) = 0, local minimum; f(-2, -5) = 0, local minimum
D. f(0, 0) = 641, local maximum; f(0, 5) = 16, saddle point; f(0, -5) = 16, saddle point;
f(2, 0) = 641, saddle point; f(2, 5) = 0, local minimum; f(2, -5) = 0, local minimum;
f(-2, 0) = 625, saddle point; f(-2, 5) = 0, local minimum; f(-2, -5) = 0, local minimum
Answer: D
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Find the domain and range and describe the level curves for the function f(x,y).f(x, y) = (3x - 3y)3
A. Domain: all points in the x-y plane; range: real numbers z ? 0; level curves: lines
B. Domain: all points in the x-y plane; range: all real numbers; level curves: lines
C. Domain: all points in the x-y plane; range: all real numbers; level curves: lines c ? 0
D. Domain: all points in the x-y plane; range: real numbers z ? 0; level curves: lines c ? 0
cos 3°
A. 0.99 B. -0.99 C. 1.00 D. -1.00
Add or subtract. Write the answer in lowest terms. +
A.
B.
C. 0
D. 5