Find the area of the region enclosed by the curves y = x² and Y = 5x by integrating with respect to y. (5, 25) y = 5x NOTE: Enter the exact answer as an improper fraction if necessary. A y = x?

Q: find the area of the region bounded above by the curve y = 2e^-x + x, below by the curve y = e^x/2,…

A: To find the area of the region bounded above by the curve y=2e-x+x, below by the curve y=ex2 on the…

Q: x² + y? << and |x| + \yl ET Hence, find the area of the specified region using integration.

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Q: By sketching the graph and using integration, find the area of the region bounded by the ellipse and…

A: Given,            x2P+42 + y2P2 ≤ 1  and xP + 4 + yP≥1

Q: 2/ determine the area of the region enclosed between the curves x= 0.sy-3 and y=x-1? ans/ 18

A: Topic- Application of Integration

Q: Find the area of the region bounded below by the x-axis and above by the curve T æ = 2 sin?(0), y =…

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Q: 4. Find the area of the region bounded by the following curves: y = (1+x²)3/2? the x-axis, x = 0 and…

A: The region bounded byy=x21+x232, the x-axis, x=0, x=3

Q: Find the area of the region enclosed between y = 2 sin(x) and y = 2 cos(x) from x 0 to x = 0.9r.…

A: The formula to find the area of the region enclosed between the curves helps to find the required…

Q: Sketch the region enclosed by y=e^3x ,y=e^8x, and x=1. Decide whether to integrate with respect to x…

A: The given two curves and horizontal line

Q: Sketch the region enclosed by 2y=SQRT(5x), y=4, and 2y+3x=8. Decide whether to integrate with…

A: From the geometry..

Q: 2/ determine the area of the region enclosed between the curves x= and y=x-1? ans/ 18 3/ Find the…

A: Given (2) The given curves are x=12y2-3 and =x-1. (3) The given curves are y=x3 and y=x.

Q: Find the area of the region bounded by x = 6 sin?(0), y = 2 sin?(0) tan(0), for 0 s 0 s 2

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Q: Consider the following. y = x2 y = 6 - x 10 8 2- -2 6. (a) Find the area of the region by…

A: This question is based on application of integration.

Q: Consider the following. y = x2 y = 6 - x 10 (a) Find the area of the region by integrating with…

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Q: Find the area of the region bounded by the given curves. y = sin?(x), y = sin°(x), o SXST

A: y=sin2x, y=sin3x,   0≤x≤π Now the diagrammatic representation of the area is,

Q: Determine the area of the region between the following curve. x = ly| and 2x =-y^2 + 2 %3D %3D 9:06…

A: The area between the curves x=y and 2x=-y2+2 is to be found.

Q: 1. Use integration to find the area of the given region R. R: y=1 – x; y = 0, y+ 2x = -2.

A: The given region is bounded by y=1-x,  y=0,   y+2x=-2. Sketch this region as show below.

Q: Consider the region between sin.x, cosx for 0sx s 7/4. Find the volume of the shape created by…

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Q: Find the area of the region enclosed by the curves: y = e2", y = et", æ = 1

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Q: Find the area between y = vx and y = Vx +1, with 0 < x< 4. Sketch the region.

A: find the area between y=x and y=x+1 , 0≤x≤4

Q: Q. N. 3 Find the volume of the solid generated from revovling the area of the region bounded by the…

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Q: Find the area of the region bounded by the curves y=x -1 and y=cos(x +1) within the interval (-1,1).…

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Q: The volume of the solid formed by rotating the region under the curve y = V5x from = 1 to x = 10 can…

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Q: Find the area of the region enclosed between y=2sin(x) and y=4cos(x) from x=0 to x=0.9PI. Hint: This…

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Q: By sketching the graph and using integration, find the area of the region bounded by the ellipse and…

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Q: I+y = 0, x = y2 +3g

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Q: Find the area between y = vxand y = Vx+1, with 0<x<4. Sketch the region. e.

A: As per the company's guidelines we are subjected to solve only one question. Please repost the other…

Q: Find the area of the region enclosed by y = 3.25x and x = 7 – y?. 4 5 Use horizontal strips to find…

A: Given, The curves y = 3.25x  and x = 7-y2  We have to find the area of the enclosed region using…

Q: e. Find the area between y = Vx and y = Vx + 1, with 0 < x < 4. Sketch the region.

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Q: Q3 Shade the area of the region bounded by, x? + y? p Hence, find the area of the specified region…

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Q: 2/ determine the area of the region enclosed between the curves x- and y=x-1? ans/ 18

A: Given problem is :

Q: Evaluate |// e-V where E is the region between two cylinders z + = 4 and r +=9 with 1< y55 and : <0…

A: We will find out the required value.

Q: Q9.a) Find the area of the region bounded by x = -Vy, and y = 4 (Sketch the region) %3D b) Solve to…

A: Sketch the given region        As per our guidelines we are supposed to answer only first question…

Q: Find the area of the region enclosed by the given curves. 1. y = e*, y = x² – 1, x = 0, x = 2.

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Q: 2. Find the volume of the solid that results when the region enclosed by y= x? and y = 12 –x is…

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Q: Sketch the region enclosed by 2y = 5Vx, y = 4, and 2y + 2x = 7. %3D Decide whether to integrate with…

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Q: Find the area of the region between the following curves by integrating with respect to y. If…

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Q: Find the area of the region under the curve y = 6x? + 4x + 3 from x = -1 to x = 2.

A: integration is the process of finding the anti-derivative function of the given function. The…

Q: Q1/ Calculate the area of the region shared by the curves (r- 1-cose), and (r- cose) at the first…

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Q: 1. Use integration to find the area of the given region R.

A: Determining intersection point of curves y=1-x and y+2x=-2 on solving we get y =4

Q: Find the area of the region described in the following exercise   b. The region bounded by y=ex,…

A: y=ex, y=e-2x, and x=ln4 We need to find the area of the region bounded by the curves.

Q: y=Va+ 2 -1 21 y = 0

A: This question is based on application of integration.

Q: 3/ Find the area of the region enclosed between the curves y= x³ and x= y ? ans/ 1/2

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Q: Sketch the region enclosed by y=e^4x, y=e^9x , and x=1x=1. Decide whether to integrate with respect…

A: Given:   y=e^4x, y=e^9x   x = 1

Q: .2 L(x² + xy - y²) dy dx. 13.

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Q: Find the area of the region between y = – x + 4x – 3 and thex-axis, 0 < x < 2. Round your answer to…

A: to find:- Area of the shaded region.

Q: Sketch the region enclosed by the curves and find its area. у %3 сos 9x, y —D 0, х - x = 18' 9 NOTE:…

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Q: Shade the area of the region bounded by, x + y's 36 and x| + lyl 2 6 Hence, find the area of the…

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Q: Find the area enclosed by the given curves. 24) y = 1/2 x², y = , y = -x² + 6

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Q: Determine the area of the region between the two curves in the given figure by integrating over the…

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Q: 2/ determine the area of the region enclosed between the curves x=: and y=x-1? ans/ 18

A: Given the curves is x=12y2-3 and y=x-1