Simplify the trigonometric expression by following the indicated direction.Multiply  by 

Fill in the blank(s) with the appropriate word(s).


(1 + cos ?/sin ?)

Mathematics

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Find the volume of the described solid.The base of a solid is the region between the curve y = 3cos x and the x-axis from x = 0 to . The cross sections perpendicular to the x-axis are squares with bases running from the x-axis to the curve.

A. ?
B. ?
C. 2?
D. ?

Mathematics

How many permutations does a combination lock have if each combination has three numbers, no two numbers of any combination are equal, and the lock has 25 numbers? 

A. 13,806 B. 13,757 C. 13,797 D. 13,800

Mathematics

Solve the problem.A fisherman is about to reel in a 19-lb fish located 14 ft directly below him. If the fishing line weighs 1 oz per foot, how much work will it take to reel in the fish? Round your answer to the nearest tenth, if necessary.

A. 280 ft ? lb B. 278.3 ft ? lb C. 364 ft ? lb D. 272.1 ft ? lb

Mathematics

Solve. Remember to insert units when writing your answer.A cab driver paid $27.88 to fill his car with 62.8 liters of gasoline. Find the price per liter of the gasoline to the nearest tenth of a cent.

A. $4.440 B. $0.225 C. $2.252 D. $0.444

Mathematics