Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves and lines about the x-axis.x = 8 - y2, x = y2, y = 0

A. 32?
B. 4?
C. 16?
D. 8?


Answer: C

Mathematics

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Find the surface area of the surface S.S is the paraboloid x2 + y2 - z = 0 below the plane z = 6.

A. ?
B. ?
C. 31?
D. ?

Mathematics

Band trip A high school band trip will require renting buses and trucks to transport no fewer than 280 students and 16 or more large instruments. Each bus can accommodate 120 students plus three large instruments; it costs $350 to rent. Each truck can accommodate 20 students plus 5 large instruments and costs $185 to rent. How many of each type of vehicle should be rented for the cost to be minimum? Find the minimum cost. ?

A. 4 buses and no trucks: $1,400 B. 2 buses and 2 trucks: $1,070 C. no buses and 14 trucks: $2,590 D. 1 bus and 4 trucks: $1,090 E. none of these

Mathematics

Solve the problem.John (whose line of sight is 6 ft above horizontal) is trying to estimate the height of a tall oak tree. He first measures the angle of elevation from where he is standing as 35°. He walks 30 feet closer to the tree and finds that the angle of elevation has increased by 12°. Estimate the height of the tree rounded to the nearest whole number.

A. 67 ft B. 90 ft C. 61 ft D. 86 ft

Mathematics

Construct a probability model for the experiment.Spinner I has 4 sections of equal area, numbered 1, 2, 3, and 4, and Spinner II has 4 sections of equal area, labeled Red, Yellow, Green, and Blue. Spin Spinner I and then spin Spinner II.What is the probability of getting a 1 or 3 followed by Red?

What will be an ideal response?

Mathematics