To find the distance AB across a river, a distance BC= 205 is laid off on one side of the river. It is found that B = 113° and C = 18°. Find AB. See the picture below. Click on the picture to see it more clearly.

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A: We will find out the required value.

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A: ; We have to sketch the region and evaluate the integration using polar coordinates.

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A: We have to evaluate  where  and  is the circle  viewed from above

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A: The matrix

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A: Recall the test.

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A: We shall show that the limit exists using the above theorem.

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A: Note that : Since you have posted multiple questions, we will provide the solution only to the first…

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