Find the areas enclosed by the following curves: (a) y = x² – 2 and y= 2 (b) y = x* – 4x² + 4 and y=x² - (c) y = xVa² – x² , a > 0 and y = 0 (d) x = y² – 1 and x = lyl/1- y² (e) x + y² = 3 and 4x + y? = 0 %3D

Q: The region bounded below by the parabola y = x2 and above by the line y = 4 is to be partitioned…

A: Given,The region bounded below by the parabola y = x2 and above by the line y = 4 is to be…

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?…

A: The area of the region enclosed by the given curves has been obtained below.

Q: Find the area bounded by the curve y = x2, AB is tangent to this curve at point P (2,4) and the x-…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: what is the limited area between x = 4y^2-3 and y^2 = x curve Br^2?

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Q: 4. Find the area of the region in the first quadrant bounded on the left by the y-axis, below by the…

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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: consider the equations: y=x2 and y = -x2 -x +6 1) Sketch both curves of the given equations on the…

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Q: The region between y=x+3 line and yax+l curu a) x -axis 6) y=1 line cX=-1 line

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Q: The area of the region bounded by the curves y=x and y= 20-x² is

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Q: The area of the region bounded by the curves y =x and y= 20-x² is

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Q: What is the area (in square units) of the region bounded by the graphs of y=x²+2, and the x axis…

A: The area bounded by the curve y = f(x) from x = a to x = b is given by, Area=∫abf(x)dx

Q: Determine the area of the region between the two curves by integrating over the y-axis. x = y² and x…

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Q: Find the area of the region between the line y=2x and the curve %3D y =x² +x-2.

A: Given:          y=2x and the curve y=x2+x−2

Q: Find the line y = mx that divides the area under the curve y = x(1 − x) over [0, 1] into two regions…

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Q: Find the area of the propeller-shaped region enclosed by the curve x - y3 = 0 and the line x - y =…

A: x-y3=0  &  x-y=0⇒y3=x  &  y=x⇒y=x13  &  y=x Now the diagrammatic representation of the…

Q: B- Find the area between the curve (y-√x - 2) and the lines (y-4-x),(y=0).

A: We have given three curves-y=x-2y=4-xy=0 First we will find intersection of first two curves…

Q: Find the area bounded by the curve 5y2 = 16x and the curve y2 = 8x − 24 and provide a correct and…

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Q: Given y = 3x –- 2x +1, y =-x² + 2x +1 and a straight line y = 0.5x ; where x>0, 1. Sketch the curves…

A: Given y=3x3-2x2+1  , y=-x2+2x+1 and a straight line y=0.5x. We need to : 1) Sketch the curves and…

Q: Example 28 Find the volume of the solid obtained when the region bounded by the curve y= 3x, x- axis…

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Q: Find the area of the region bounded by the curve y2-4r and the lines x = 1 and x = 4.

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Q: Find the surface area of revolution of x=y2 about the y-axis at [0,2]. Graph.

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Q: Find the area of the region enclosed between the curves defined by the equations y = x² – 2x + 2 and…

A: Solve the following

Q: 15. Find the area of the region enclosed by the curve x = y³ – y' and the line x = 2y. (Hint: Need…

A: We are asked to find the area of the region

Q: The area of the region between the curve y x'-6x+ 8 and the x-axis & x=0; x= 3 is given by -6x+8)kke…

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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: find the area of the region bounded by the curves 4x - y2 = 0 and y = 2x - 4

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Q: Find the area of the region bounded by the curve y2=4x and the lines x = 1 and x = 4.

A: The given curve is y2=4x and lines x=2 and x=4. From the given information,

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 y = e 1. = y = 2.3x + 1 from x = 0 to x = Area -0.4x and

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Q: Find the area between the curves: y=x^3-11x^2+18x and y = -x^3+11x^2-18x

A: y=x3-11x2+18x and y=-x3+11x2-18xTo find the area between the curves:

Q: Find the area of the region bounded by the curves y = -x² – 3x + 4 and y = x2 – 3x – 4.

A: We first sketch the region using a graphing calculator y=-x2-3x+4 (violet) y=x2-3x-4 (black)

Q: 4. Find the area of the region bounded by the curves x-y² = 0 and x+2y² = 6.

A: Hence, the area of the region bounded by the curves x-y2=0 and x+2y2=6 is 82 square units .

Q: Find the area of the region bounded by the parabola y = x2, the tangent line to the parabola at the…

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Q: Find the area of the region bounded by the given curves. y = 2ax, y = 2ал*, а > 0

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Q: Find the area between the curves y = x² + 5x and y = 3– x² between a = -2 %3D and z = 0.

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Q: :y² + z² — ² by first sketching at least three cross sections in each of the 4. Graph the surface 1…

A: A quadric surface is a graph of an equation in the three variables x, y and z in a three dimensional…

Q: 1/ Find the area of the region enclosed between the curves y= 2x+10 and y=4x+16 and ,x=-2 and x=-5?…

A: Area under curve

Q: Find the area of the region between the curve y = 1/1 + x^2 , 0 ≤x ≤√3, and the x-axis.

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Q: The area of the region bounded by the curves 8x =y° and 8x = 2y+y2 -2y is

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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 of the region bounded by the curves y² - 4x = 5 and 4x + 3y = −1

A: We can find the area of the region between the two curves using the double integration method. We…

Q: Find the area of the region between the curves y=x2-1 and y= - 2x² +2 from x= - 1 to x=1.

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Q: Find b such that the line y = b divides the region bounded by the graphs of the two equations into…

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Q: Find the area between the curves. 3x 3x x-0, x-D4, y3D2e" y-e

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Q: Find the area of the region between the curve y = √2x — 1 and the lines x = 1 and x = 5.

A: Given: The region between curve y=2x-1 and lines x=1 and x=5

Q: 3. Find the area of the region bounded by the curve y = Vx – 1, the y - axis and the lines y=1 and…

A: Simplify the equation y=x-1 to obtain the expression of x. y=x-1y2=x-1x=y2+1 Draw the graphs…

Q: Q3. The region bounded by the curve y = x² and the line y = 3x, is revolved about the line x = -3.…

A: We will find this using formula. As per our guidelines we are supposed to answer only one question.…

Q: Find the area of the region bounded by the curves, y = -6, y = 6, the y – axis and the parabola y2 -…

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Q: Find the area of the region enclosed by the curve y=x2-2 and by the line y BO 2. y=x²-2 y=2 Co

A: The equation of the curve is:                                            y=x2-2  The equation of the…