Use a change of variables to find the volume of the solid region lying below the surface  and above the plane region R: region bounded by the square with vertices .
?

A. 336
B. 28
C. 84
D. 0
E. 56


Answer: D

Mathematics

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Provide an appropriate response.If the position of a particle moving along the x-axis at a given time is given by x(t) = t3, find all the higher-order derivatives of this function.

What will be an ideal response?

Mathematics

Translate the situation into mathematical language. You need not actually solve the problem.The Music Store prices its blank audiotapes by raising the wholesale price 30% and adding 20 cents. What must the tape's wholesale price be if the tape is to sell for $2.36?

A. Let w represent the tape's wholesale price; 2.36 = 0.30w + 0.20 B. Let w represent the tape's wholesale price; 2.36 = w + 0.30w + 0.20 C. Let w represent the tape's wholesale price; 0.20 = w + 0.30w - 2.36 D. Let w represent the tape's wholesale price; 2.36 = w + 0.30w - 0.20

Mathematics

Find the unknown length in the right triangle. Simplify the answer if necessary.

A. =  ft
B. = 32 ft
C. =  ft
D. = 514 ft

Mathematics

Find the gradient field of the function.f(x, y, z) = ln + z4

A. ?f = i + j + k
B. ?f = i + j + k
C. ?f = i + j + k
D. ?f = i + j + k

Mathematics