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SOM-Questions-and-Answers

A trough is 12 feet long and 3 feet across the top. Water is being pumped into the trough at 2 cubic feet per minute. How fast is the water level rising when the depth h is 1 foot? The water is rising at a rate of 3/8 inch per minute when h = 2 feet. Determine the rate at which water is being pumped into the trough.

This question aims to find the rate at which water flows and the speed of water in a trough. The question depends on the concepts of the volume of a

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SOM-Questions-and-Answers

Write out the first four terms of the maclaurin series of f(x).

This question aims to find the first four terms of the Maclaurin series when the values of f(0), f’(0), f’’(0) and f’’’(0) are given.

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SOM-Questions-and-Answers

Solve the given differential equation by variation of parameters.

                                         

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SOM-Questions-and-Answers

What is the volume of the cone? Use π ≈ 3.14 and round your answer to the nearest hundredth. The height is 14in and diameter is 10in.

The question aims to find the volume of the given cone with 14 inches in height and 10 inches in diameter, as shown in Figure 1. The question depends

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SOM-Questions-and-Answers

What is the length of X in the diagram below?

The aim of this question is to find the length of a side of a triangle that is similar to another triangle whose lengths of the sides are given. This

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