Find the volume of the indicated region.the region under the surface , and bounded by the planes  and  and the cylinder 

A.
B.
C.
D.


Answer: C

Mathematics

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Find the unit tangent vector T and the principal unit normal vector N. r(t) = i  + j + 4tk

A. T = (cos 0.75t)i  - (sin 0.75t)j ; N = (-sin 0.75t)i - (cos 0.75t)j 
B. T = (sin 0.75t)i  - (cos 0.75t)j ; N = (-sin 0.75t)i - (cos 0.75t)j
C. T = (cos 0.75t)i  - (sin 0.75t)j + k ; N = (-sin 0.75t)i - (cos 0.75t)j
D. T = (cos 0.75t)i  - (sin 0.75t)j + k ; N = (-sin 0.75t)i - (cos 0.75t)j 

Mathematics

Find the intervals on which the function is increasing and the intervals on which the function is decreasing.f(x) = -x2 + 2x + 8

A. Increasing on (-?, - 1); decreasing on (- 1, ?) B. Increasing on (1, ?); decreasing on (-?, 1) C. Increasing on (-?, 1); decreasing on (1, ?) D. Increasing on (- 1, ?); decreasing on (-?, - 1)

Mathematics

Solve the problem.A company's profit amounted to 25% of its sales. If the profits were $6 million, then what were the company's sales?

A. $26 million B. $25 million C. $22 million D. $24 million

Mathematics

Graph the equation.y = 2 

A.

B.

C.

D.

Mathematics