Find the derivative of the function.y = x6cos x - 12x sin x - 12 cos x
A. 
= x6 sin x - 6x5 cos x + 12x cos x
B. 
= - x6 sin x + 6x5 cos x - 12x cos x - 24 sin x
C. 
= - x6 sin x + 6x5 cos x - 12x cos x
D. 
= - 6x5 sin x - 12 cos x + 12 sin x
Answer: C
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Find the average value of 
over the given region.
z2 over the cube in the first octant bounded by the coordinate planes and the planes 
, 
, 
A. 
B. 
C. 
D. 
Find the value of P(x).Find P(-4) where P(x) = x2 - 4.
A. 16 B. 12 C. -8 D. 64
Use the basic trigonometric identities and the given information to find the exact values of the remaining trigonometric functions.tan ? = 
and sec ? = - 
A. sin ? = - 
cos ? = - 
tan ? = 
csc ? = - 
sec ? = - 
cot ? = 
B. sin ? = - 
cos ? = - 
tan ? = 
csc ? = - 
sec ? = - 
cot ? = 
C. sin ? = - 
cos ? = - 
tan ? = 
csc ? = - 
sec ? = - 
cot ? = 
D. sin ? = - 
cos ? = - 
tan ? = 
csc ? = - 
sec ? = - 
cot ? = 
Translate to an algebraic expression.The sum of a number and 35
A. 35 - x B. 35x C. 35 D. x + 35