Find the area of M. 1 x2 +2 and the line y = -x - 2 21 Let M be the region bounded by the parabola y = - (0,2)

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 of the region bounded by the curve y2= 4x and the lines x = 1 and x = 4. O 21/2 square…

A: Here is the solution

Q: Find the number k> 0 such that the region bounded by the curves y = x² and y = kx has area 9 square…

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Q: 1. Find the area of the region enclosed by the parabola y = 2 – x² and the line y = -x.

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Q: 2. Find the area of the region enclosed by the parabola y = 2x² and the line y = -x-1

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Q: Find the area bounded by the ff. curves and lines: a. x^2 - y^2= 9 and y= 2x - 6

A: x2-y2=9  &  y=2x-6 The diagrammatic representation of the area is,

Q: у 3 4/x, у-4y + 2х %3D 5 2x = 5

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Q: 1. Find the area of the region enclosed by the given curves. a) y - x² = 2x and x + 4 = y

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Q: Find the number k > 1 such that the region bounded by the curves y = 1, y = x-2, and x = k k has…

A: Given curves are y=1 and y=x-2 and interval is x=1 to x=k

Q: . Find a number k > 0 such that the area of the region bounded by the curves y = x², and y =k – x2…

A: As per as our guide line I am supposed to answer only one question from these 2 question Please…

Q: 3. Find the area of the region bounded by y=x²-2x +2 and y=6-x².

A: Use area under curve

Q: Find the area of the region bounded by the curves y = x² and y = - x² + 4x. 9/4 11/3 12/15 8/3 none…

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Q: 31. Find the area of the finite region bounded by the curves y = x(10 - x) and y = x (3x+ 2).

A: Q 31 Consider the curves, y=x10-x   and    y=x3x+2 To calculate the intersecting points between the…

Q: Find the area of the region bounded by the curves y = y = -x² + 4x. 9/4 11/3 12/15 8/3 none of the…

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Q: Sketch the region bounded by the graphs of the given equations and find the area of that region.…

A: Area between curves

Q: (2) Determine the intersection points of y=-x² +9 and y = 5. Then find the area bounded by this…

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Q: 2. The area bounded by y = -(x – 1)² + 4 , and the lines x =1, y = 2, and y = 4 rotated about the…

A: Given: The area bounded by the curves which are: y=-12(x-1)2+4 and the lines x=1, y=2 and y=4 And…

Q: Find the area of the region bounded by the curves, x = −6 ,  x = 6 , the x−axis  and the parabola…

A: Follow the procedure given below.

Q: Find the area of the region bounded by the curves, x = -6, x = 6, - axis and the parabola x2 – 4y –…

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Q: 6. Find the area of the region bounded by y =1+cosx, y = 2, x=1.

A: Given curves are  y=1+cosxy=2x=π

Q: Find the area of the region(s) enclosed by the curves y= x^2/2 - 3x and y= x^2/2

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Q: 1. Find the area bounded by the curve y = x8 and (a) the lines y = 0, z = 2, (b) the lines x = 0, y…

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Q: 27 Find the area of the region bounded by, b. The curves y=x-5x and y 25-x

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Q: 14. Find the area of the region bounded by these two curves: X = y' – 2y and x-y-4=0

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Q: Find the area of the region bounded by the given curves.   a.) y=4x-x2, y=0, x=1, x=3    Ans. 22/3…

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Q: Find the area of the region enclosed by the parabola y = 2 - x2 and the line y = -x.

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Q: 2) Find the area of the region bounded by two parabolas x = y2 - 5y, and x=3y - y? . Specify the…

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Q: Find the area of the finite region bounded by the curve y = 12 + x - x2 and the line: y = x + 3.

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Q: Find the area of the region bounded by y²-x=0 and y²+x=2₁

A: Find the area of the region bounded by y^-x=0 and y^+x=2

Q: 2. Find the area of the region bounded by y = 1- 2x² and y = |x|.

A: The area under a curve between two points can be found by doing a definite integral between the two…

Q: 2. Find the area bounded by the curves y = x² - 2x + 2 and y = - x+ 2. (0, 2) (1, 1)

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Q: Find the area of region bounded by the curves x= 2y+6 and x y-1.

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Q: Find the area bounded by the curve x=16-v² and the curve x=y-5y+4 as shown in figure below. x = y² –…

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Q: 1. Find the area of the region bounded by the curves y = |x² - 4| and the curve y =x2 + 4 %3D

A: One of the two main parts of calculus is concerned with the study of integrals, as opposed to…

Q: Find the area of the region enclosed by the given curves. y = 13-x2, y=x2-5

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Q: 6. Find the area of the region bounded by the two curves of equat rens a) x=3-y² and f(x)= 3x (スー2)-…

A: Note:- In Part (a), you mention f(x) for 2nd curve but it is not mentioned for first curve. If i…

Q: Find the area of the region bounded by the graphs of the given equations. v= x+2; y= x² 13 O 35 2 o…

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Q: 3. xy = a², y = 0, x = a, x = 2a.

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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: Q1: Find the area bounded by: The curve y=4x-x and the lines y=0, x=1 and x=3.

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Q: Find the area of the region bounded by the graph of y = 2x2 − 3x + 2 the x-axis, and the vertical…

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Q: 1. Find the area bounded by the curve y = x8 and (a) the lines y = 0, z = 2, (6) the lines z = 0, y…

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Q: ) Find the number k>0 such that the region bounded by the curves y = x² and y = kx has area 9 square…

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Q: 1. Find the area of the region bounded by the curve y = f (x) = |a² – 4| and the lines x = -3, and x…

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Q: 2. Find the area of the region enclosed by the parabola y = 2 – x² and the line y = -x.

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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: Find the area A of the region bounded by the line y = x and y = 6 – x²

A: Area between curves

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…