A rectangle is constructed with its base on the diameter of a semicircle with a radius 18 and with its two other vertices on the semicircle. What are the dimensions of the rectangle with maximum​ area?

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A: Use limit expansion

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A: We have to find derivative

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A: Find function f by integrating given function and then eliminate value of constants

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A: SOLUTION-

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A: The given problems can be solved using chain rule of differentiation.

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A: Explanation of the answer is as follows

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A: This question can be solved using the concept of area of triangle using vectors.

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A: Solution of given question is written in below steps.

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A: Given: Now, the velocity will be           v(t)=<∫2t, ∫3, ∫et>      =<t2+c1, 3t+c2,…

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A: topic- indefinite integral

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A: The solution is given below

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A: To write down the vectors into the linear combination of the given vector.

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A: Solve by adding partial sums

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A: To find out the integration.

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