Evaluate the integral.

A. 1016
B. 508
C. 762
D. 381


Answer: A

Mathematics

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Find the work done by F over the curve in the direction of increasing t.F = -5zi + 7xj + 7yk; C: r(t) = ti + tj + tk, 0 ? t ? 1

A. W = 3
B. W = 9
C. W = 
D. W = 18

Mathematics

Find the indicated probability or percentage for the normally distributed variable.The volumes of soda in quart soda bottles are normally distributed with a mean of 32.3 oz and a standard deviation of 1.2 oz. What is the probability that the volume of soda in a randomly selected bottle will be less than 32 oz?

A. 0.382 B. 0.099 C. 0.599 D. 0.401

Mathematics

Find the slope of the curve at the point indicated.y = 4x2 - 9x, x = 3

A. 33 B. 15 C. 27 D. -33

Mathematics

Provide an appropriate response.A horizontal beam safely supports a load P that varies jointly as the product of the width W of the beam and the square of the depth D and inversely as the length L. A beam that has a width of 8 in, depth of 12 in. and a length of 36 in. can safely support 1,792 lb. Determine the safe load in pounds of a beam made from the same material if the beam is 105 in. long.

A. 1,382.4 lb B. 921.6 lb C. 614.4 lb D. 56 lb

Mathematics