Find the volume generated by revolving about the x-axis the regions bounded by f (x) = e x/4 , x = 0 , and x = 8 .

What will be an ideal response?


2? (e4 ?1)

Mathematics

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Find the midpoint of segment PQ. ? ?

A.


B.


C.


D.


E.


Mathematics

Find an upper bound for the magnitude |E| of the error in the approximation f(x, y) ? L(x, y) at the given point over the given region R. at ; R: |x - 1| ? 0.1, |y - 1| ? 0.1, |z - 1| ? 0.1

A. |E| ? 0.21 B. |E| ? 0.188 C. |E| ? 0.225 D. |E| ? 0.175

Mathematics

Simplify. Express your answer with positive exponents. Assume that all variables are nonzero.(5x4y7)-2

A. 25x8y14
B.
C.
D.

Mathematics

Determine the order of the matrix.

A. 3 B. 2 × 3 C. 6 D. 3 × 2

Mathematics