Simplify the radical expression. Assume that all variables represent positive real numbers.
A. 4y4
B. 4xy5
C. 4xy4
D. 4y5
Answer: D
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Use implicit differentiation to find dy/dx.xy + x + y = x2y2
A. 
B. 
C. 
D. 
Find all the local maxima, local minima, and saddle points of the function.
A. f
= 
, local minimum
B. f
= 
, local minimum
C. f(30, 30) = 297,000, local maximum
D. f(0, 0) = 0, saddle point
Find all the first order partial derivatives for the following function.f(x, y, z) = cos x sin2 yz
A. 
= sin x sin2 yz; 
= -2z cos x sin yz cos yz; 
= - 2y cos x sin yz cos yz
B. 
= -sin x sin2 yz; 
= z cos x sin yz cos yz; 
= y cos x sin yz cos yz
C. 
= sin x sin2 yz; 
= - cos x sin yz cos yz; 
= -cos x sin yz cos yz
D. 
= -sin x sin2 yz; 
= 2z cos x sin yz cos yz ; 
= 2y cos x sin yz cos yz
Indicate whether the list of terms are like or unlike.a2b, 5ba2
A. like B. unlike