The height of each rectangle is given by the value of the function, f(x) = 5x − x2, at the right-hand endpoint of each subinterval. The height of the first rectangle, located on the subinterval [2, 3], is f(3) = . The height of the second rectangle, located on the subinterval [3, 4], is f     = .

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A: Given problem:-

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A: To find the area bounded by the given curve, draw a strip as shown in the figure below:

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A: Here we are using integration method to find the area of the given region.

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Q: sin't 3 x cos x dx 500 х 415

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A: Hope I answered as you required

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A: This question is based on Sine function.

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Q: 5. 3 C d S a b e porld at t Let λ = 2 be an eigenvalue of an n is correct? (a) |21 - A| ‡0 (b) 21 -…

A: As per guidelines, I can answer maximum one question. Since you have asked for multiple questions…