a) Find the number a such that the line x = a bisects the area under the curve y =1/x, 1 ≤ x ≤ e^2 b)  Find the number b such that the line y = b bisects the area in part (a)

Q: Sketch the region bounded by the graphs of y = Vx and y = (3-x) on the interval [0,3], then find its…

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Q: Find the area between the curves. x = -1, x = 1, y = ex, y = 3 - ex

A: We have to find the area between the curves : x=-1 ,x=1 ,y2=ex and y1=3-ex

Q: Sketch the region enclosed by the curves and find its area. Enter the exact answer. Area = y = 5x²,…

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Q: Sketch the region enclosed by the curves and find its area. 1 y = 6x² ,y = 6 V5,x = and.x Enter the…

A: topic- area between curves

Q: Find the area of the region.vo Total area bounded by the curve r = sin 20

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Q: Region inside the circle(rz1)_and outsid the cardiaid (1- Cuso).

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Q: Find the area between the curve y = -x< + 6x – 8 and the x-axis from x = 2 to x = 4. (Give an exact…

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Q: Sketch the region enclosed by the curves and find its area. y = 7x ,y = 7Vx, x = - and x = 1 Enter…

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Q: Find the area bounded by these curves

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Q: (b) Divide the interval [-1, 1] into 2n parts. Approximate the area under the curve by rectangles,…

A: Given function is f(x)=1x, for x≠01,   for x=0 Given interval [-1,1] Now we have to divide the…

Q: Find the area A of the region that is bounded between the curve f(x) = -4 sin () and the curve g(x)…

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Q: Sketch the region enclosed by the curves and find its area. y = 4x² ,y = 4Vx,x = - 1 - and x = 1…

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Q: Sketch the region enclosed by the curves and find its area. y = 7x2 .y = 7 Vx,x = 1 and x = Enter…

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Q: The area bounded by the lines x = 0, x = 2, x + y = 4, and x – y = 4 is revolved about  the line x =…

A: Given problem:- The area bounded by the lines x = 0, x = 2, x + y = 4, and x – y = 4 is revolved…

Q: Find the area bounded by the curve y=x^3 -3x and the x-axis. Sketch the curve that are bounded

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Q: Sketch the region enclosed by the curves and find its area. y = 9x² ,y = 9Vx,x = 1 - and x = 1 Enter…

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Q: Find the area bounded by: x^2 + 4x + y =0 and x + y = 0. Draw the curve and label the graph.

A: Given, x^2 + 4x + y =0 and x + y = 0.   or y=-(x2+4x) and y=-x

Q: Sketch the region enclosed by the curves and find its area. 1 y = 4x2 ,y = 4 x, x = -andx = 1 Enter…

A: So, the area will be                    Area=∫1414x-4x2dx       =∫1414xdx-∫1414x2dx       =73-2116…

Q: Sketch the region enclosed by the curves and find its area. 1 y = 9x² ,y = 9 Vx,x = - and x = 1…

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Q: tan. Find the area of the region bounded above by the curve y = 5* sec² x , below by y = 0, and on…

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Q: find the area bounded by the given curve y=2x-x^2 and y=

A: The area bounded by the two curves is given by ∫abf(x)-g(x)dx where f(x) and g(x) are two curves on…

Q: Find the area bounded by the given curve and line. 1. y= -x^2 + 4 and y = x^2

A: To find: The area bounded by the curve. Given: The equation of curves are y=-x2+4 and y=x2. Concept…

Q: Find the area under the curve y=2x6y=2x6 over the interval [0,3][

A: Solution

Q: Sketch the region enclosed by the curves and find its area. 1 y = 6x² ,y = 6/x, x =-andx = 1 Enter…

A: The region enclosed by the curves,y=6x2, y=6x, x=14, x=1

Q: Find the area bounded by the curve y = 2x + x² – x³, the x-axis and lines x = 0 and x = 1. %3D

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Q: Find the of region bounded by the functions f(x) : (В) sin x and g(x) = cos x over the interval [0,…

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Q: (4) 6. Accurately sketch a graph of the region, shade the area in question, and use geometry to…

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Q: ded by the curve or line: y2+4x-8=0, Y

A: Given that: The equation of the curve y2 + 4x - 8 = 0. The equation of the line y = 2x.

Q: Solve the area bounded by the curve (x – 2)2 = – ( y – 4) and the lines x = – 2 and y = 4.

A: We need to find the area bounded by the curve (x – 2)2 = – ( y – 4) and the lines x = – 2 and y = 4.…

Q: Sketch the region enclosed by the curves and find its area. 3 x = -, x = 0, y = 1, y = et NOTE:…

A: Given: x=3y, x=0, y=1, y=e4

Q: Find the area under the given curve over the indicated interval. (TYPE INA WHOLE NUMBER, FRACTION,…

A: Given query is to find the area under the curve.

Q: Find the area under the curve 3 over the interval [3, 8]. y = (4x + 2)² Enter the exact answer. area…

A: y = 34x+22,interval : 3, 8

Q: Sketch, then find the area of the region above the x-axis and bounded by the curvers and lines…

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Q: Find the area of the region in the first quadrant bounded by the line y = 8x, the line x = 1, the…

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Q: Find the area in which region lies in first quadrant bounded by v=∛u ,u-axis and line v=u-n. Where…

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Q: 5. The area bounded by the curve y = 3x – x3 and the line y = 2 is revolved about the line y = 2.…

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Q: Find the area R -region bounded by the curve y=1/x^2 and the lines y=x and y=x/8.

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Q: 9. The area bounded by the parabola x 4y and the line x = 4 - 2y is revolved about the line y 4.…

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Q: Find the area bounded by the curves y = sin x +1 and y = 3 – sin x on the interval E, %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: Find the area enclosed by the closed curve obtained by the joining the spiral r=4θ by a straight…

A: Given that, the value of r=4θ and θ∈0,1.7. It is known that, the formula for the area of the…

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 bounded by the given curve and lines. y = x3,y = 8, and x = 0 %3D

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Q: .Find the area bounded by x=y² – 2y and the y-axis. Draw the figur

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Q: find area between line y=-2+x and y=x^(1/2) and x-axis

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Q: find volume of area bounded by y = x 2x +3 and y = 3 about line y = 3 an |the

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Q: 1/ Find the area of the region bounded by the line y = 1- x and the curve x = 3 - y

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

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