Use the Green's Theorem area formula, shown below, to find the area of the region enclosed by the circle r(t) = (d cost+q)i + (d sint+r)j, 0 st≤ 2. Area of R=xdy-y dx = 1/2fxdy-yo The area of the circle is

Q: Find the function f(x) described by the given initial value problem. f"(x) = 3 sin x, f'æ) = 3, f(1)…

A: The objective is to find f(x), find the area of the region encloses by the parabola and the x-axis.

Q: Find the area of the shaded region. x = y² -10 y (-75/4, 15/2) -30 - 20 x=5y-y -10 y 10 <-5 X

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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: Find the area of the region between the curves y = 3x² - 3 and y = -2x2 + 2. The area is !3D…

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Q: Q1: Find the area of the region that lies in the first quadrant under the curve √x + √y = 1. (Draw…

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Q: Find the area of the region enclosed by the parabola y = 8x – x² and the x-axis.

A: