Provide an appropriate response.If a fraction with denominator  must be written as an equivalent fraction with denominator  then the original fraction must be multiplied by  in both the numerator and the denominator.

A. True
B. False


Answer: A

Mathematics

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Solve the problem.A construction crane lifts a bucket of sand originally weighing  at a constant rate. Sand is lost from the bucket at a constant rate of. How much work is done in lifting the sand ? (Neglect the weight of the bucket.)

A. 9600 ft ? lb B. 8700 ft ? lb C. 7800 ft ? lb D. 6900 ft ? lb

Mathematics

Set up the iterated integral for evaluating over the given region D. DD is the solid right cylinder whose base is the region in the xy-plane that lies inside the cardioid  and outside the circle  and whose top lies in the plane .

A.
B.
C.
D.

Mathematics

Find the work done by F over the curve in the direction of increasing t.F = - i + j + k; C: r(t) = i + j  + 7tk, 0 ? t ? 

A. W =  + ?2
B. W =  + ?2
C. W =  + ?2
D. W =  + ?2

Mathematics

Solve the problems.A small farm field is a square measuring 350 ft. on a side. What is the perimeter of the field? If you double the length of each side of the field, what is the new perimeter?

A. 1,400 ft., 2,800 ft. B. 700 ft., 1,400 ft. C. 350 ft., 1,400 ft. D. 700 ft., 2,800 ft.

Mathematics