Find all the first order partial derivatives for the following function.f(x, y) = 
A. 
= 
; 
= 
B. 
= - 
; 
= - 
C. 
= 
; 
= - 
D. 
= 
; 
= - 
Answer: C
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Find the gradient ?f.f(x, y) = cos4(x6y6)
A. -24x5y6 cos3(x6y6) sin(-24x5y6)i - 24x6y5 cos3(x6y6) sin(x6y6)j B. -24x5y6 cos3(x6y6) sin(x6y6)i - 24x6y5 cos3(x6y6) sin(x6y6)j C. -24x5y6 cos3(x6y6) sin(x6y6)i - 24x6y5 cos3(x6y6) sin(x5y5)j D. -24x5y6 cos3(x6y6) sin(x6y6)i - 24x6y5 cos3(x6y6) sin(-24x6y5)j
Find the range of the given function.f(x) = - 
x2 + 9x - 9
A. 
B. 
C. 
D. 
Add or subtract as indicated. Express the answer as a single polynomial in standard form.(3x5 + 3x3 + 4x) + (5x5 + 2x3 + 3x)
A. 9x5 + 5x3 + 6x B. 8x + 5x5 + 7x3 C. 8x5 + 5x3 + 7x D. 20x9
Solve the problem.Find two numbers x and y such that their sum is 240 and x2y is maximized.
A. x = 160, y = 80 B. x = 60, y = 180 C. x = 180, y = 60 D. x = 80, y = 160