Consider the graph of the function g(x): 4 y = g(x) -2- 4 The graph from x = 2 to x = 6 is a semicircle. Evaluate the following integrals by interpreting them in terms of areas: а) g(2) dæ : b) 9(x) dæ 7 Cc) 9(2) da :

Q: suppose A is a positive real number, determine the area of the traingle enclosed by the lines x=0,…

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Q: 7) Find the area under the parabola y = x² – 2x +2, above the x-axis and between x = 0 and x = 1.

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Q: 2. Find the area of the plane figure bounded by the curves. Plot the graphs of the given functions,…

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Q: Find c> 0 such that the area of the region enclosed by the parabolas y = x² - c² and y = c² - x² is…

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Q: c) Consider the following two functions are given: y = 2x - x² and y = x². i. Sketch the two curves…

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Q: 6. Find the area bounded by: d. The curves y=x-4, y38-2x.

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Q: Let f(x) = -a² + 6æ – 5. Estimate the area below the curve y = f(x) and above the x-axis using 100…

A: Let f(x)=-x2+6x-5 To estimate the area below the curve y = f(x) and above the x-axis using 100…