Find the area bounded by the ff. curves and lines: 1. the loop of y2 = x4 (3 - x) 2. 4y = x2 – 2lnx, y = 0, x = 1, x = 4.

Q: find the area bounded by the curve y = (1 + x^2) / (2x^2) and the lines y = 0, x = y, and x = 2

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Q: 2. Find the cerntroid of the area bounded by the curve y= 2x + 1 x+y =7 and x= 8

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Q: Find the area of the region bounded by the curves y = e* y² = 4x - 4 between y = 1 and y = 2. and

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Q: Find the area bounded by the curves 5y^2 = 16x and the curve y^2 = 8x – 24

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Q: 1/ Find the area of the region enclosed between the curves y= 2r'+10 and y=4x+16 and ,x=-2 and x=5?…

A: The area of the region enclosed by the given curves has been obtained below.

Q: Find the area bounded by the following curve and line: y=4/x , y²-4y+2x=5 and the line y=4

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Q: Find the area bounded by the curves x² = 4y + 4 and the line y =x + 2.

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Q: Find the area of the region bounded by the curve y=1- and the x- axis.

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Q: 4 Find the area of the region bounded by 2x = y² +1 and the y-axis using the horizontal strip.

A: See below attachment.

Q: x = y² and the line y = x − 2

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Q: B. Find the area of the region bounded between the curves y = Vx + 3, y (x+ 3)/2

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Q: Find the area of the region bounded by the given curves: y = x² y = 4x – 22

A: Given: y=x2, y=4x-x2 For finding area of region bounded by given curves, we draw graph of both…

Q: Find the area bounded by the curve x y2 +2y and the line z = 3. %3D

A: Given :                curve x = y2 + 2y and the line is x = 3 To find :               The area…

Q: Find the Area bounded by the given curves. y = 2x + 1 ,  y = 7 - x ,  x = 8

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Q: Find the area of the region bounded by the curve y=x^2−1 and the line y=15.

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Q: What is the area of the region enclosed by the curves y=e^x, y=x^2-1 and the lines x=-1 and x=1?

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Q: || 2. Find the area of the region enclosed by the curves x = 2y² – y + 1 and x y² + y + 4.

A: The area between two curves is given by: Where a and b are intersection points of the curves f and…

Q: A// Find the area of the region bounded above by (y= e), bounded below by (y x)and the boundary line…

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Q: 3. Find the area of the region bounded by the curves y = 1 (x+1)2/ the x-axis using vertical strip.…

A: Solution :

Q: Find the area bounded by the curve y = 4x - x² and and the lines x = 0 and y = 4. %3D Answer:

A: we can find the area between the curve and the lines by integrating the curve function through lines…

Q: 1. Find the area of the region enclosed by the line x = 2y and the curve x = y - y?

A: We will find out the required area.

Q: Find the volume of the area bounded by the line y = 3x + 4 and the curve y = x² if it is revolved…

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Q: Find the area of the region bounded by one loop of the curve x2 y*(1 – y²) %3D

A: The curve is given as , x2=y41-y2 The graph of the curve is

Q: 4 Find the area of the region bounded by x = 2y²+1 and the y-axis using the horizontal strip.

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Q: Find the area bounded by the curves y = 3e2x and y = 3e-x and the ordinates at x = 1 and x = = 2.

A: The region is

Q: Find the area of the region enclosed by the line x = 2y and the curve x = y3 - y?

A: To calculate the area of the region bounded by the curves x=fy and x=gy, use the formula…

Q: Find the area bounded by the curve 5y^2 = 16x and the curve y = 8x – 24.

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Q: Find the area of the region bounded by 2x = and the y-axis using the horizontal strip. 4 y²+1

A: We have to find the area using horizontal strip.

Q: Sketch the bounded region enclosed by y = e3, y = e't and x ,3x 7x =1. Decide whether to integrate…

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Q: 1.) y = 2x – 4 from y =−2 to y = 4

A: Note:- As per our guidelines, we'll answer the first one as particular one is not mentioned. For the…

Q: Find the area of the region bounded by the curves 1 y = y = 4 and the x-axis using vertical strip.…

A: We have to solve given problems:

Q: Find the area of the region bounded by the curves y x2 and y = rVr + 2.

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Q: Find the area bounded by the given curve and line. Show your solution below 1. y = x^2 + 3 and y = 7…

A: (1) given curve y=x2+3 and line y=7 to find the area bounded by curve and liine first of all find…

Q: What is the area of the region enclosed by the curve y=e^x and the lines x=-1 and y=3?

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Q: Find the area of the region bounded by the given curves. y = x², y = 4x – x² - ly=x²

A: We have to find area of bounded region.

Q: Find the area of the region bounded by the curves y = 1 (x+1)21 2 y = 4 and

A: Please refer to the image below

Q: 4. Find the area bounded by the curve r = 3y – y? and the line y + x 3.

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Q: b) Find the area bounded by the curve: y = 8x – x² and y = 3x %3D %3D

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: Find the area of the region bounded by the given curves. y = 2ax, y = 2ал*, а > 0

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Q: Find the area bounded by the curves y2 = 4x and y + 2x = 12.

A: Topic = Area

Q: find  the area of the  region bounded by the  curves y²=4px and x²=4py

A: To find the area.

Q: Find the area of the region between the curve y = 1/1 + x^2 , 0 ≤x ≤√3, and the x-axis.

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Q: Find the area of the region bounded by the curves y = x 2 − 3x + 5 and y = 3x + 5.

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Q: Find the volume of the area bounded by the curve y²=12x and the line x=3 revolved about x=3

A: Finding the volume of solid generated by given curve

Q: Find the area bounded by the curves y = x(x − 1)², y — axis, and the line y = 12.

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Q: Find the area bounded by the curves x2 = 4y + 4 and the line y = x + 2.

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Q: Find the area of the region bounded by one loop of the curve x2 y*(1 – y²)

A: Given:          x2=y41-y2         x=±y41-y2         x=y21-y2 The graph is symmetric about the…

Q: Find the area A of the region bounded by the line y = x and y = 6 – x²

A: Area between curves

Q: Find area of the region bounded by x2 + y2 = 6?, 5y = -7x and 2ly = %3D 11x where y > 0. Leave your…

A: The region bounded by x2+y2=62, 5y=-7x & 21y=11x where y ≥0