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

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

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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: 6. Find the area bounded by the curve 2y² + 4x + y = 0 and the line y = 2x.

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Q: 5. Find the area bounded by the curves y = x4 – 4x2 + 4 and y = x2. -2

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Q: 3. Find the area bounded by the curves x2 + y2 = 9 and 4x2 + 9y² 36, on the first quadrant.

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Q: Find the area between the curve y = 6x – 2x and the x-axis between x 1, and x = 3. ||

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Q: Find the area between the curves y = e-0.7x and y = 1.5x + 1 from x = 0 to x = 1.

A: Explanation of the answer is as follows

Q: 2. Find the area between the curves y = Vr -1 and r - y = 1.

A: Given curve is y=√(x-1) and y=x-1

Q: 2. Find the area bounded by the two curves y=x²-6x²+ 8x and y = x² - 4x.

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Q: 2. Find the area between the curve y=-x and y+x²= 2x.

A: The given curves are y=-x and y=2x-x2.

Q: 4. Find the area bounded by the curves y = 2x – x2 and the x-axis

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Q: Find the area of the curve y = x° – 2x – 3 between x =- 1 to x = 3.

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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: Find the area between the curves y=e^−0.6x and y=1.6x+1 from x=0 to x=1

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Q: Find the area under the curve y = 3x 2 from = 1 to x = 2 .

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

Q: 2. Find the area bounded by the two curves y = x² - 6x²+ 8x and y = x² - 4x.

A: We have to compute the area between the given curves using the double integration method by first…

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: Calculate the area enclosed between the x-axis and the curve y = x2 - 1 between x = -2 and x = 2.

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the area between y = ex and y = e2x over [0, 1].

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Q: 7. Find the area bounded by the curve y = 4x - x^2 and the lines x = 0 and y = 4.

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Q: 9. (20 pts) Find the area between (bounded) by the curves y = x² + 10x and y=2x+9.

A: Given: curves y=x^2+10x , y=2x+9 We have to find the area between the curves

Q: 4. Find the area of the region bounded by y = cos x, y = sin x, x = 0, x = %3| might have to break…

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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: 1. Determine the area bounded by curves y = -x² + 4x + 3 and y = −x³ + 7x² − 10x + 5 over the…

A: We have to find the area bounded by the curves.

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

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Q: Calculate the exact area bounded by x-axis and y = cos(2x) between x = 0 and r = 27.

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Q: 1. Find the area bounded by the curves y – 2 = x² ,y = 6 and the y – axis ( in Quadrant I only), as…

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

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Q: 8. Find the area under the curve y = e* and above the x-axis from x = 0 to x=1. -3x

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Q: 1. Find the area of the region bounded by the curves y = x2 – 3x + 5 and y = 3x + 5.

A: Answer and explanation is given below.. For solution of other questions please repost

Q: 2. Find the area between the curves. x = - 2, x = 1, y = 6x, y = x2 - 7

A: Given: x=-2,x=1,y=6x,y=x2-7

Q: 2. Find the area enclosed between the curves y =x² +2x +11 and y =-4x+2.

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Q: Find the area between the curves x=y² –1 and x = 2y² – 2.

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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: 10. Find the area bounded by the curve x = y² + 2y and the line x = 3.

A: Area Bounded by the Curves : If f(y) and g(y) are two continuous function on a,b and f(y)≥g(y), then…

Q: - Determine the area bounded by the curves y = -1² – 16x + 80 and y = (x – 4)°.

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Q: 2. Find the area bounded by the curve y = x³ – 3x2 from x = 0 to x = 2. -

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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: (4) Calculate the area between the two curves of the functions fi(x) = x2 and f2(x) = 2 x + 3

A: Here, the given curves are f1(x)=x2, f2(x)=2x+3 First of all, find the intersection point(s) of the…

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

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Q: Find the area between the curves. y = x2 - 9x + 4 and y = x² + 6 from x = 0 to x = 6

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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: 2. Find the area bounded between the curves: y = x², y = 4 – 3x, and x = 2 %3D

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Q: 3. Find the area bounded by the curve y 4sin(2x), the x-axis, and the lines x = 0 and x =

A: We have to find the area bounded by the given curves. We will find the area by the help of…

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

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Q: 10. Find the area bounded by 2. Hhe curves y=8x-x²0ind y=3x

A: topic - area bounded by curves

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: 9) Find the area bounded under the curve y = x+2 and y=x² – 4.

A: