Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle. y = x² - 2x, y = 3x + 6 y 30 20 20 10 x -2 2 4 6 -6 -4 y y 30 30 -6 -4 -2 2 46 20 20 10 10 46 x i 10 -20 -30 y 20 10 -10 -20 -30 2 Find the area of the region. 6 ×

Q: The graph of the derivative f'(x) of f(x) is shown. Compute the total change of f(x) over the given…

A: Graph of f'(x) vs x is given. Here, f'(x)=∆f∆x Therefore, change in f(x) will be, ∆f=f'(x)·∆x It…

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: Find the area of the region bounded by the graphs of the equations. y = 7x2 + 1, x = 0, x = 2, y = 0

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