Find the volume of the solid generated by revolving the region about the y-axis.The region enclosed by the triangle with vertices (0, 0), (1, 0), (1, 2)
A. 
?
B. 4?
C. 
?
D. 
?
Answer: C
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Suppose that the functions f and g and their derivatives with respect to x have the following values at the given values of x. Find the derivative with respect to x of the given combination at the given value of x.
g(x + f(x)), x = 3
A. 21 B. -35 C. -5 D. -30
Find the principal unit normal vector N for the curve r(t).r(t) = (3 sin t)i + (3 cos t)j + 4k
A. N(t) = (-sin t)i + (cos t)j B. N(t) = (sin t)i + (cos t)j C. N(t) = (-sin t)i - (cos t)j D. N(t) = (-cos t)i - (sin t)j
Solve the linear inequality. Other than ?, use interval notation to express the solution set and graph the solution set on a number line.-3x ? -3(x - 4)
A. ?
B. (-?, -4]
C. [-4, ?)
D. (-?, ?)
Evaluate the expression without a calculator.log8(32)
A. 
B. 
C. 
D.