Please answer questions 1, 2, and 3. Please provide full work for every problem. Thank you! 1. Explain how to use the differentiation part of the Fundamental Theorem of Calculusto determine the derivative of g(x) = [* 2+sin(4t)t3 -92. Explain how to use the evaluation part of the Fundamental Theorem of Calculus tocompute f", (3x² – 5x + 7) dx.3. Here is part of the graph of different function f. We are interested in the area functionA(x) that gives the (signed) area between -100 and x, horizontally, and the betweenthe graph of f and the x-axis, vertically. 54321.-7-6-5-4-3-112-2(a) Write the area function A(x) as a definite integral.(b) We have calculated that A(1) = 314.15. Write A(1) as a definite integral.(c) How do the values for A(1) and A(1.2) compare?(d) Approximate the value of A'(1).

Name: Please answer questions 1, 2, and 3. Please provide full work for ever
Uploaded: 2024-03-20T07:07:12.000Z
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Description: Please answer questions 1, 2, and 3. Please provide full work for every problem. Thank you! 1. Explain how to use the differentiation part of the Fundamental Theorem of Calculusto determine the derivative of g(x) = [* 2+sin(4t)t3 -92. Explain how to