The sides in the pair of figures are proportional. Find the missing length(s).Give your answers as mixed numbers if appropriate.

A. x = , y = 
B. x = , y = 
C. x = , y = 
D. x = , y = 


Answer: B

Mathematics

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Find the volume of the solid generated by revolving the region about the given axis. Use the shell or washer method.The region bounded by y = 4, y = 4, and x = 0 about the line y = 4

A. ?
B. ?
C. ?
D. 8?

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Give an appropriate answer.Show that the function r(?) = 3 cot ? +  + 7 has exactly one zero on the interval (0, ?).

What will be an ideal response?

Mathematics

If r(t) is the position vector of a particle in the plane at time t, find the indicated vector.Find the velocity vector of the particle.

A. v(t) = (-8)i + j
B. v(t) = i + (-8t)j
C. v(t) = (-8t)i - j
D. v(t) = (-8t)i + j

Mathematics

Simplify the rational expression.

A.
B.
C.
D.

Mathematics