7. Find the area bounded by the curve y = x? +x + 4, the x-axis and the ordinates x = 1 and x = 3.

Q: Find the area bounded by y=2/√16−4x^2, x=0, y=0, x=1. Round to four decimal places.

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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: Compute the area bounded by the curve y = 3x - x2, the x-axis and the ordinates x = 2; x = 4.

A: We need to evaluate the area bounded by the following curve : C1 : y = 3x-x2 C2 : x -axis C3  : x =…

Q: x = y² and the line y = x − 2

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Q: Find the area bounded by the curve x^2 + 4y - 8 = 0, the x - axis, and the lines x = 3 and = 5

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Q: 2. The area bounded by y=3x+4 and the curve y=x2 is revolved about the line x =5.

A: 2) The area bounded by the given curves is:

Q: 5. Find the area bounded by the lines y = X = è áñd x = 2è.

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Q: 3. tind the area bounded by thu follo wing curves: y= X^2-4,y= 0,x = 4

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Q: 16. Find the area bounded by the curve y=-x³--x²+3x and the line y=x. 16 4

A: 16)Given,y=x316-3x24+3x and y=x

Q: Find the area under the curve y 7 x over the interval [1, 5]

A: Given curve y=7x

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

A: Given curves are  y2=4x, 2x+y=4 The region bounded by the above curves  is the yellow colored region…

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

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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: 8. Find the area bounded by x² – 6x + y = 0, x² – 2x – y = 0, and the x – axis.

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Q: 1. Find the area bounded by y = 4x-x, x+2 = 0 and y = 4 using vertical and horizontal strip

A: Solution is given below:

Q: 4 Find the area bounded by Y 0, y = 0, x = 1. 256 – 16x² - Round to four decimal places.

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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: I. FIND THE AREA BOUNDED BY THE FF CURVES AND LINES: 1. The loop of y = x *(4 - x) 2. у %3 бх - х, y…

A: "Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

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: B) Find the area bounded by y = 2x²+10, y = 4x +16, x = -3 and x = 6.

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Q: Find the area under each curve over the indicated interval. [4.3] 16. y = 6 - x²; [-2, 1] 17. y = x2…

A: 16. Therefore, area  A=∫-21ydx=∫-216-x2dx=6x-x33-21=6-13--12--83=173--12+83=173+283=453=15…

Q: 2. Find the area bounded by y = ÷x' 3x and y = -4. - %3D 3,

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Q: Enclosed by x² + 4y² = 16

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

Q: 7) Determine the area bounded by the x-axis under the line y = 2x+1 from x=1 to x=4

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Q: Find the area between the curve and the x axis over the indicated interval. y=8/x; [1,7]

A: We will use integration to find area under the curve

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: 7. Find the area bounded by the curve y = x² + x + 4, the x-axis and the ordinates x = 1 and x = 3.

A: The area under the curve y=f(x) in the interval a, b is calculated using the formula: A=∫aby dx. We…

Q: 2 the area bounded by y = x , y = x is

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Q: Solve the area bounded by the curve x=y^2 and the line y=x+1, y=2, and y=-2. Graph manually.

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Q: Find the area between the curve x = y2 and the line x = y + 2 Solution : * with respect to x:

A: Given curves x=y2. . . . 1x=y+2. . . . .2 Equating (1) and (2) y2=y+2y2-y-2=0y-2y+1=0y=2,-1

Q: 6. Compute the area enclosed by the curves y = x² - 9 and y = 9-x2. Page 5

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Q: 8. Determine the area bounded by x = -y² + 4y and the y-axis.

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

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Q: 7. Find the area bounded by the curve y = x exp(-x²), the x-axis and the vertical line p through the…

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Q: Compute the area bounded by the curve y=3x² and the lines y=0 and x = 3,

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: . Find the area bounded by y = (11 – x), the lines 3x=2, x=10, and the x-axis.

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Q: 4 Find the area bounded by Y = 0, y = 0, x = 2. || 144 – 16x² Round to four decimal places.

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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: 9:(a): Find the area bounded by the curve y² = -x, the line y = x, and the line y= 2.

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

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Q: 7. Find the area bounded by the curve y = x e¯** , the x-axis and the maximum ordinate.

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Q: What is the area bounded by the curve y = x3, the x-axis, and lines x= - 2 and x = 1?

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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: Find the area under the curve over the indicated interval. [4.3] y = 4 – x²; [-2,1] y = x + 2x + 1;…

A: Please refer the attached image for complete solution.

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

A: topic - area bounded by curves

Q: 9:(a): Find the area boundedby the curve y =-x, the line y = x, and the line y = 2.

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Q: 5. Find the area bounded by the parabola y = x^2 - 3 and the line y =1.

A: Given problem:- Find the area bounded by the parabola y = x2 - 3 and the line y = 1 .

Q: What is the area bounded by the curve x^2=-9y and the line y+1=0. O 3 O 4 O 5

A: Given equations: x2=-9yy+1=0

Q: Compute the area bounded by the curve y = x2 + 3, the x-axis and the ordinates x = 1; = 4.

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Q: Find the area bounded by the curve y = 2 over (x - 3) and the lines y = 0, x = 4 and x = 5.

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