3. Consider the function f(x) = 4-2r. -4 3 (a) Sketch the region R under the graph of f on the interval [0,2], and find its exact area using geom- etry. 3 (b) Use a Riemann sum with two subintervals of equal length (n 2) to approximate the arca of R. Choose the representative points to be the left endpoints of the subin- (c) Use a Riemann sum with four subinter- vals of equal length (n 4) to appraximate the arca of R. Choose the representative points to be the left endpoints of the subin- tervals. %3D tervals. (d) Compare the approximntions obtained in parts (b) and (c) with the exact arca found in part (a). Do tlhe approximations improve with larger 2? 2. 2.

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

A:

Q: (a) Sketch the region R under the graph of fon the interval (0,2), Find its exact area using…

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A:

Q: Consider the function f(x) = 4x2 −x3. Provide the graph of the region bounded by f(x) and the x-axis…

A: The solution is given below in the next step:

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Q: Find the Area bounded by the curves y? = x and x = 2y – y².

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Q: 1. Consider the function f(x) = x - 4 on the interval [-2,2]. Calculate the Riemann sum using: a.…

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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= 20-X and the line x= 2a , lts asymptote. a. Find the area of between the cissoid

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Q: 1. Consider the function f(x) = x' -4on the interval [-2,2]. Calculate the Riemann sum using: a. n=…

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Q: Find the area of the region R enclosed by the curves y = x2 – 2x and the х — ахis.

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