The boundaries of the shaded region are the y-axis, the line y 1, and the curve y Vx. Find the area of this region by writing x as a function of y and integrating with respect to y. 1.25 0.2 -0.25 1,25 -8,25 Area:

Q: Q:: Find the area bounded by the curve Vx+/y = 1 and the coordinate %3D axes, at x = 0,and y = 0

A: lets assume a horizontal strip under the region boundedwe get0≤x≤(1-y)2 0≤y≤1

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A: The given equations are

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A: To find the following areas from figure

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Q: Find the area enclosed by the y-axis and the curve defined by x=t-ť and y=1+e

A: Let x=ft=t-t2y=gt=1+e-tand we have the given y-axisso, x=0⇒t-t2=0⇒t1-t=0⇒t=0,1with x=ft and y=gtwe…

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Q: P1: Calculate the area bounded by the curves: C. y e* and x - 2y + 5 = 0, and y-axis.

A: To calculate the area bounded by the following curves.y=e-x and x-2y+5=0, and y‐axis.

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A: Area=∫x1x2ydx We have, y=-ax2+b, x1=1, x2=2

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Q: Consider the following. y = x2 y 20 - x 25 20 15- 10- 5- -10 -5 10 15 20 (a) Find the area of the…

A: Topic = Application of integration

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A: Topic = Volume

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A: We have to find the area of the shaded region.

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Q: 6. Find the number a such that the line x = a bisects the area under the curve y = 1 1<I< 4.

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A: Curves y=2x and y=x2  To find the area of the shaded region from 0 to 2.

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A: Given, y=e2x ,  x≥5We have to evaluate area

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A: find explanation below

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A: The area bounded by two functions f(x) and g(x) with respect to x is given by the formula:…

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A: I am going to solve the given problem by using some simple calculus to get the required result.

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A: See this solution in below

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Q: 5. Find the area bounded by the curve y e, x- axis and y- axis. С 2 A 0 В 1 D Infinity

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Q: Find the area bounded by the curve y = coshx and the x- axis from x = 0 to x = 1. a. 11.75 sq. units…

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Q: IV. Find the area bounded by the given curves; 1 y= v?' y=0, x=1, x = - 1. 1+x? Sketch the curve…

A: Let's find.