1. Consider the function f(x) = x' -4on the interval [-2,2]. Calculate the Riemann sum using: a. n= 6, right endpoints b. n= 4, midpoints Evaluate x - 4 dx с. -2 d. Which estimate of the area, "a" or "b", is closer to the actual area, "c"?

Q: 1- Calculate the area of the region which is bounded by: y = 4x − 3x², y = ¼ x², and y : = 0.

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Q: ii, Find the area under the graph y=5x⁴between the limits x= 1 and x=3.

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Q: b. Approximate the area bounded by f(x)=x² - 2x+6 on the x-interval [0,3] usingn = 3 rectangles and…

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Q: Estimate the area under the graph (sqr-root):x+4 over the interval [-4,12] using 8 approxiamating…

A: Given function: Width of each interval = (12-(-4))/8= 16/8= 2  So the partition is -4, -2, 0, 2, 4,…

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Q: (8) Suppose m > 0. Find the coordinates of the points (in terms of m) where y = mx in- tersects y =…

A: Here we have to find the area.

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: 16. Find (1) the net area and (ii) the area of the region above the x-axis bounded by y=121-x².…

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Q: y =9-x? 2y = x² -3x +12 13. Find the area bounded by these two curves: and

A: Given: y=9-x2 2y=x2-3x+12

Q: Find the area under the curve Y=2x-3 from x = 8 to = t and evaluate it for t=10, t = 100. Then find…

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Q: Find the area bounded by the curve y = 3x²/4 and the lin 3x – 2y + 12 = 0.

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Q: y = 1/x2, y=9, x=6 Find the area of the region?

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Q: Estimate the area under the graph of f(1) = over the interval [-2, 3] using ten approximating | I +…

A: The given function is fx=1x+4 over the interval -2,3 using ten approximating rectangles. Calculate…

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…