Use cylindrical coordinates to evaluate the triple integral , where E is the solid that lies between the cylinders x² + y² = 3 and x² + y² = 7 above the xy-plane and below the plane z = x + 4.

a. 8.57
b. 0
c. 3.4
d. 9.19
e. 0.54


b. 0

Mathematics

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Solve the problem.A plane flies 420 miles with the wind and 350 miles against the wind in the same length of time. If the speed of the wind is 22 mph, what is the speed of the plane in still air?

A. 232 mph B. 242 mph C. 247 mph D. 267 mph

Mathematics

Plot and label the points indicated by the coordinate pairs.A(3, 1), B(-5, -4)

A.

B.

C.

D.

Mathematics

Find the area of the polygon.

A. 77 cm2 B. 53.9 cm2 C. 100.1 cm2 D. 154 cm2

Mathematics

Evaluate.

Mathematics