15 Find the exact area enclosed between the curve y = v4 – x and the line r-y+2 0.

Q: Find the area under the curve y=3x2+x+2e*/2 from x=0 to x=1.

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Q: 1. (a.) Find the area bounded by the two curves; y=r+x-10 and y=-+Sx+6. i y=r-3r and y = 2-x

A: i) Given curves are, y=x2+x-10 & y=-x2+5x+6 Let's draw table for y=x2+x-10 x 0 1 2 4 y -10…

Q: 1. Find the area of the region bounded by the parabola x = 3 + 2y – y? and the line 2x + 3y = 6.

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Q: Find the exact area between the curve y = e* – 2 and the x-axis for 0 sxs2. |

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Q: Q4. Find the area between curve y = x - 3x + 2 and x-axis from x =0 to x 2

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Q: 1. Find the area bounded by the curve y In x and the %3D lines y = 0 and x = e.

A: Given curve is: y=lnx and the line y=0 and x=e Area of bounded regions: Let y=f(x) be a continuous…

Q: Find the area bounded by the given curve: 16x² +9y² − 64x + 18y-71 = 0 and x² + y² − 4x − 4y+4=0

A: Given the curves, C1:16x2+9y2-64x+18y-71=0C2:x2+y2-4x-4y+4=0. Rewriting, we get…

Q: 1. Find the area bounded between the curves: y = x+1, y = -2x + 7 and x = 0 A. With respect to the X…

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Q: 9. (a) Calculate the area of the region bounded by the curves y = x² +1 and y = xª between x = 0 and…

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Q: 1. Find the area in the second quadrant bounded by the curve 2x² + 4x +y = 0 using two methods

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Q: Find the area between the curve  y = x2 + 3x + 2  and the x-axis from  x = −1 to x = 1.

A: We have to find the area between the curve y=x2+3x+2 and the x-axis from x=-1 to x=1.

Q: (b) Compute the total area between the curve and the x-axis over the interval [-1,9]. y = f(t) 10…

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Q: The area bounded by the curve x = 3y + 8, the y- axis and the abscissas y = 0 and y = 2 is O 19 O 1…

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Q: 1. Find the area between the curves x2-y = 9 and the line y 2x-6

A: Since you have posted multiple questions in this question which are not interlinked so I do only…

Q: 1. Find the area between the curves of y = x2 +1 and y = x +7 from x = -2 to x = 3. Round to two…

A: Topic-application of integration

Q: 3. Find the area bounded by the curve ay2 = r and the line x= 4 a. Ans. 142 a=

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Q: 1. Find the area between the curves x2-y2 = 9 and the line y = 2x-6

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Q: Find the area under the curve y 12 over the interval [ – 1, 1]. %3D (x + 2)² area = i

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Q: - 7. Find the area bounded by the curve y² + x − 4y = 5 and the y — axis

A: We have to find the area of the given curve and line.

Q: 1. Find the area bounded between the curves: y = x°, x = 1, and y -8

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Q: Find the area between the curve y = x² + 12x + 27 and the x-axis from x = -3 to x = -1.

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Q: Find the area above the curve y=Inx in the lower half-plane between x-0 and x=1. YA y=In x 0. O a. 1…

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Q: Find the area bounded by the curve x2 + y2+4x-14y +44 0

A: Topic:- area of circle  Note:- as per our guideline if more than one question uploaded than only…

Q: Find the area under the curve y = 6x° over the interval [0, 2]|

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Q: 8. Find the area between the curves y = x x² and y = x2 – 4x between x = O and x = 2.

A: For calculating the area between curves first of all we will draw the schematic diagram of the…

Q: 1) Find the area of the region bounded by the curve y=3x•e-2* and the x-axis, for x>0. i) Rou imal

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Q: 1)Find the area bounded by the given curves. a)y = 3x2 − 12 and y = 0 b)y = x2 − 2 and y = 10 −…

A: we have been given the function y=3x2-12 and y=0 and the formula of the area under the curve is…

Q: Find the area of the region between the curve y = sin t andthe t-axis from t = 0 to t = 2π.

A: the area of the region between the curve y = sin t andthe t-axis from t = 0 to t = 2π is defined as…

Q: 7. Find the area of the region under the curve y= |2x – 1| between x= O and x= 2.

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Q: 6. Find the area bounded by: d. The curves y=x-4, y38-2x.

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Q: Q/ A/ Find the area between the curve y 3x- x² and the x-axis

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Q: 4/2 x2 -1 for [0, 1]. Find the length of the curve y=- Find the area of the curve bounded by the…

A: (7)We will find the length of the curve.

Q: 1. Find the area between the curves of y = x² + 1 and y = x + 7 from x = -2 to x = 3. Round to two…

A: (Note: We are entitled to solve only one question at a time) Given: y=x2+1 and y=x+7 x=-2 , x=3. To…

Q: 1)Find the area bounded by the given curves: a)y = 6x2 and y = 24   b)y = 3x2 − 12 and y = 0

A: The given function are y=6x2 and y=24. The area bounded by the given curves as shown below:

Q: - 5. Find the area bounded by the curve y² − 3x + 3 = 0 and the line x = 4

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Q: 7. Find the area bounded by x = t2,y = 1– t3,0st<1 and the y-axis

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Q: 4. Find the area under the following curves over the indicated interval: (c) z = -3t2, y = 2t, for 2…

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Q: 11. Find the area bounded by the curve y² + 2x - 2y - 3 = 0 and the y-axis.

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Q: Find the area under the curve y 2 I over the interval [1, 4]

A: Find the area under the curve y=2x over the interval [1, 4]

Q: 4. Find the area bounded by the given curves:y² = x + 4, x - 2y + 1 = 0

A: Answer is given in next step.

Q: 1. Find the area between the curves x2-y 9 and the line y 2x-6 %3D

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Q: 12. Find the area bounded by the curve y = 3x(x - 2)² and the x axis.

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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?…

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Q: 1. Find the area bounded by the curves between the curve y=1+x and the line y-1 x

A: area between curve

Q: Find the area under the curve y = sin 2t from t = 0 to t = π/4.

A: We have to find the area under the curve of a function y=sin2t , here we have the limit from 0 to…

Q: 19. (a) Find the area bounded by the curves y = 2x2 and y = 4x. (b) Two cars both start on a journey…

A: Given two functions: y=2x2 and y=4x To find a) Area under the two curves b) If two curves represent…

Q: 18. Find the area of the region enclosed by the curve y = (1- x)²; 0<x< 1. (in QI)

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Q: 17) Find the area bounded by the curve 4x - 3y + 19 =0, y-axis, the lines y = 1 and y = 5.* O a) 15…

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