Find the area enclosed by the line y = x – 1 and the parabola y? = 2x + 6.

Q: The area bounded by y = e*, y = 2, and the y– axis is equal to

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Q: Find the area bounded by the curves y2 = 4x 4х + у — 6 %3 0

A: We need to find the area bounded by the curves y2=4x4x+y-6=0

Q: find the area between the graphs of y = (x + 1)* and y 3z +1. a)1, b) 3.

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Q: Find the area bounded by the parabola x = y² + 2 and the line y = x – 8. 11 -2 3.

A: We have to find out the area bounded by the two curves

Q: Find the area bounded by the parabolas y^2 = 4 –x and y^2 = 4 – 4x.

A: I am attaching image so that you understand each and every step.

Q: Find the area bounded by the parabola y=-x+3 and the line y=x+3. (i) Using vertical strips (ii)…

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Q: Find the area bounded by the parabolas (x - 1)² = 4ay and y² + 4a = 4ax.

A: Here we have to find out the area between the given curve that is we have given two parabolas

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

A: Solution: Given that Curve is y = -x^2 -2x Area between the x axis and the given curve is

Q: . Find the area bounded by the given curves. y = 9x² and the x - axis.

A: First we find point of intersection of curve y=9-x2 and x-axis. Put y=0, 0=9-x2 x2 =9 x=±3 Therefore…

Q: Find the area enclosedby the parabola y=x² - 8x+15 and thex-axis.

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Q: Find the area of the region enclosed by the parabola y = 3x – x² and the x-axis.

A: The equation of x-axis is y=0

Q: Find the area bounded by the parabola x² = - (y - 1) and the first quadrant.

A: Intersection points:y=0x2=1;x=1 (First quadrant)(1, 0)x=0:1-y=0y=1(0, 1)

Q: Find the area enclosed by the parabola y=4x-x^2 and the x-axis.

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Q: Find the area in the first quadrant bounded by the curve y = 3x – x, the lines x = y = 2. 0 and

A: To find the area of the region bounded by the curve we use the formula Area=∫abf(x)-g(x)…

Q: Find the area enclosed by the parabola y=x2-8x+15 and the x-axis

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Q: Find the area between the corves y= 2-x² and

A: Find the area between the two given curves First draw both the equations in a single plane To draw…

Q: Find the area in the first quadrant bounded by the cubic 3x - x^3 and the lines x = 0 and y = 2.

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Q: Find the area under the parabola y = 8 - x^2 -2x, above the x axis

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Q: Find the area between the two curves: y = x2 and y = 4x + 5

A: In this question we have to find Area.

Q: Find the area of the region bounded by the line y=(1/2)x and the parabola y? = 8-x.

A: Area between curves

Q: Find the area bounded by the pair of curves. y = x² + 4x and y = 4x + 1 square units

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Q: Find the area of the region bounded by the parabola y = 2x, the tangent line to this parabola at (4,…

A: Definition used -              Equation of a tangent line -                  (y-y1)=f'(x1)(x-x1)…

Q: Find the area bounded by the curves x² + y? – 2x – 24 = 0 y2 – 8x + 16 = 0

A: The area between two curves y1 and y2 such that y2>y1 between the limits x=a to x=b is given by;…

Q: Find the area bounded by the given curves. y = 8x3 + 7 and y = 8x + 7 _________ square units

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Q: Find the area bounded by the circle x² + y² = 25, the x-axis and the parabola x² - 2x = y.

A: Equation of Circle is x2+y2=25  Centre of Circle = (0,0) Radius of Circle = 5 unit Equation of…

Q: find the parabolas x= y2,y= 255¢ and the ine area Of the region bounded by the

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Q: Find in two ways the area bounded by the parabola y=x^2, the y-axis, and the lines y=1, y=4

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Q: Find the area bounded by the curve 5y^2 = 16x and the curve y = 8x – 24.

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Q: Find the area between the curves.  y = |9x|  ,  y= x^2 - 10

A: First we graph the functions. They cut at (-10,90) and (10,90)Area from x=-10 to x=0 is equal to the…

Q: Find the area between the curves. y = x4/3, y = 2x1/3

A: y = x4/3, y = 2x1/3

Q: Find the area lying between the parabola y = 4x – x² and the line y = x -

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Q: Find the area bounded by the parabola x² = 4y and y = 4 A. 21.33

A: Solution of the problem as follows

Q: Find the area bounded by the parabolas x2 – 2y = 0 and x2 + 2y = 8.

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Q: Find the area lying between the parabola y=4x - x^2 and the line y = x.

A: The given curves are y=4x-x2 and y=x. To find the area between the curves we will firstly plot these…

Q: Find the area bounded by the parabolas (x - 2)² - 9py = 0 and y² = 9p(x - 2).

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Q: Find the area enclosed by the line x=y and the parabola 4x+y² =12

A: Given:         The line x = y  and the parabola 4x + y2 = 12   To find:           The area…

Q: Find the area bounded by the parabola y=x and the straight line y = x

A: givenparabola  y=x2line y=xlet us find intersection point of these…

Q: Find the area enclosed by the line y = x –1 and the parabola y = 2x + 6.

A: y2=2x+6 and y=x-1. To find: Area enclosed by the given two curves.

Q: Find the area of the region enclosed by the parabola y = 8x – x² and the x-axis.

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Q: Find the area bounded by the curves y2 = 4x and y + 2x = 12.

A: Topic = Area

Q: Find the area of the region bounded by the curves, y = -6, y = 6, the y – axis and the parabola y? –…

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Q: Find the area bounded by the parabola y2= 4x, the x – axis and the lines x=1 and x=3.

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Q: Find the area enclosed between the line y 1 and the curve y = x2 – 4x + 4.

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Q: Find the area enclosed by the line y = x -1 and the parabola y² = 2.x + 6.

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Q: The area of region bounded by the parabola y? = 4x and the line y = 2x – 4 is

A: In the given question, the concept of integration is used to find the area of the common region.…

Q: Find the area bounded by the parabolas (x – 2)² – 9py = 0 and y2 = 9p(x – 2). -

A: We need to find area bounded by two curves.

Q: Determine the area bounded by the parabola y = x^2, the line y = 6-x, and the x-axis

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Q: . Find the area between the curves y =x+1 and y=2x+1

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Q: Find the area bounded by the line y = x+2 and parabola y = x².

A: We can solve this as follows:

Q: Find the first quadrant area bounded by the circle x? +y² = 25, y-axis and the parabola x2 – 2x = y.

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