Simplify.
A. 3x
B. 3
C. 
D. -3x
Answer: B
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Find all the first order partial derivatives for the following function.f(x ,y, z) = (sin xy)(cos yz2)
A. 
= (y cos xy)(cos yz2); 
= (x cos xy)(cos yz2); 
= -2(yz sin xy)(sin yz2)
B. 
= (y cos xy)(cos yz2); 
= (x cos xy)(cos yz2) - (z2 sin xy)(sin yz2); 
= 2(yz sin xy)(sin yz2)
C. 
= (y cos xy)(cos yz2); 
= (z2 sin xy)(sin yz2)- (x cos xy)(cos yz2); 
= 2(yz sin xy)(sin yz2)
D. 
= (y cos xy)(cosyz2); 
= (x cos xy)(cos yz2) - (z2 sin xy)(sin yz2); 
= -2(yz sin xy)(sin yz2)
Find the limit, if it exists.
A. 1 B. 0 C. Does not exist D. -1
Use long division to divide the polynomials.(8x3 - 2x2 - 26x - 15) ÷ (4x + 3)
A. 2x2 - 5 B. 2x2 - 2x - 5 C. x2 - 2x - 5 D. x2 + 2x + 5
Find the equation of the parabola determined by the given information.Vertex at (4, 4), directrix x = 2
A. x = 
y2 - 1y + 6
B. y = 
x2 - 6x - 24
C. x = 
y2 + 8y + 48
D. y = 
x2 - 1x - 6