Estimate the area under the graph of F(X)=X2 +6X+11 over the interval [0,8] using four approximating rectangles. Round your answers to four decimal places. R4 L4

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A: The solution is shown below-

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Q: 7:49 AM 76 4· (2 √² + 3× 1 - 2 7 + 6x) dx + x(x+27-1)dy-0

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A: Taylor series of function fx at a is defined as:  fx=fa+f'a1!x-a+f''a2!x-a2+f'''a3!x-a3+… Here,…

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A: Since you have asked multiple questions in a single request we would be answering only the first…

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A: answers are in step 2.

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Q: 37. lim x40+ log₂ x log, 3x

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A: extreme point of the function gt=t2t2+2, -3, 3

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A: Solution: Given data, x =2.999999....

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