1. Sketch the region bounded by the given curves and find the area of the region. (a) y = x + 1, y = (x – 1)² ,x = – 1, x = 2 %3D

Q: Q-1- Find the area of the region bouncledby the Curve y= xe and the XaaXis froam X=o to x = 4 ?

A: To find the area of the region bounded by the curves

Q: 2/ determine the area of the region enclosed between the curves x= 0sy'-3 and y=x-1? ans/ 18

A: Please see the explanation below

Q: (13) Find the area of the region between the line y = 2x and the curve y =x² +x-2 %3D

A: The given two curves are y = 2x y = x2 + x - 2

Q: Find the area of the region under the given curve from 1 to 2. 5 y = X° + 4x

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Q: 2/ determine the area of the region enclosed between the curves x= 0.sy-3 and y=x-1? ans/ 18

A: Topic- Application of Integration

Q: 6. Find the area of the region enclosed by the curves x = 3 - y² and x=y_+1.

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Q: 2 ア=x,y=2r

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Q: 1) Evaluate y)dA over a region bounded by curves xy = 6 and x + y =7. Sketch a diagram of the…

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Q: Find the area of the region under the given curve from 1 to 2. 15 y = x3 + 4x

A: We have to find area under the region from 1 to 2

Q: Find the area of the region that is bounded by the given curve and lies in the specified sector. r=…

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Q: 1. Find the area of the region enclosed by the given curves. y = cos x, y = 2 – cos x, 0 < x <T

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

A: Area of a closed region is given by  A=∬dydx, when the strip of area is parallel to y-axis.

Q: Determine the area of the region between the following curve. x = |y| and 2x = −y^2 + 2

A: Given that, x = |y| and 2x = −y2 + 2

Q: Find the area of the region bounded by the given curves. (22) y = cos x + 1, y = x, x = 0, x = 1

A: First of all we need to draw graph of all functions and then find out the common region and finally…

Q: 3) Find the area of the region enclosed by the curves: y =x, and y = 2x – x

A: For the given curves  y = x2 and y = 2x-x2  Area of the region enclosed by the above curves are…

Q: 6.(. Find the area of the region enclosed by the curves y = x² +1 and y = x +3.

A: I am solving this in step 2

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

A: Given: y=1-2x2y=x To Find: Area of the region bounded by the given curves.

Q: Sketch the region enclosed by the given curves and then find the area of the region. y=cos(4x),…

A: Given thaty=cos4x ,y=0 .x=π8 , x=π4  To find : Area enclose by the region Solution

Q: Find the area of the region bounded by the given curves. y = √x,  y= -3√x.  y= x- 2

A: It is given,Function 1: y= -3x1  OR x1 = y29                        (1)Function 2: y= x2- 2   OR x2…

Q: Find the area of the region that is bounded by the given curve and lies in the specified sector. Зп…

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Q: Sketch the region bounded by the graphs of the equations g(x) = 4 / (2 − x),     y = 4, x = 0and…

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Q: || 2. Find the area of the region enclosed by the curves x = 2y² – y + 1 and x y² + y + 4.

A: The area between two curves is given by: Where a and b are intersection points of the curves f and…

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: 4- Find the area of the region bounded by the curves y - 3x = 4 and 3r – 2y = 11. a) b) e) d) e)

A: The equation of the curves are : C1 :  y2-3x = 4  ⇒ x = y2-43 C2 : 3x-2y = 11  ⇒ x = 2y+113 To…

Q: 1. Sketch the region R between the functions y = 2x and y = x2

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

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: 4) Find the area of the region bounded by the given curves. a) y = sin(x) cos(x) and y = sin(x) , 0…

A: Since you have asked multiple questions in single request so we  will be answering only first…

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

A: Area between curves

Q: 3. Sketch the region enclosed by the curves/lines x = y, y =÷, x = 3 and find its area.

A: Given equations: x=y……1y=1x……2x=3……3

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: 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: 44.a) Find the area of the region enclosed between the curves y=1+x, y=1+4x, and y=3-x (Sketch the…

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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: 1 the area of the region enclosed by the curve y = =, and the lines y = x and 2. Start by sketching…

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Q: 5. Sketch the region enclosed by the given curves and find the area bounded by the curves y = Vx –…

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Q: 7. Sketch the region enclosed by the curves x = region. y4 and y = V2 – x for y > 0 and find the…

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Q: 1. Sketch the region enclosed by the given curves and find its area. y = x², y = x*

A: Answer

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

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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: Question 4. Compute the Area of the region bounded by the given curves. Y1 = 3x- x2 and Yz = 3 -x

A: Given: y=3x-x2, y=3-x we finding area region bounded by given curve, first we draw graph of both…

Q: 1. Find the area of the region bounded by the graphs of y = r and y = = Vx, from r = 0 to r = 2. 2

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Q: Suppose that 0&lt; c &lt; π/2 . For what value of is thearea of the region enclosed by the curves…

A: Consider the given: y=cosx,y=cosx−c and x=0cosx−cosx−c=0−2sin2x−c2sinc2=02x−c2=0x=c2 Find the area:…

Q: 3/ Find the area of the region enclosed between the curves y= x' and x= y مساعدة 1.8 هذا رسم ل…

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Q: Find the area of the region between the curves x=((y-2)^2)/3 and y=8-x shown in the following…

A: Explained below

Q: 1. Find the area of the region bounded by the given set of curves x = y-y-6 and x 2y+4 (Sketch the…

A: Explained below

Q: 3. Find the area of the region between the curves y = Vx and y =x2.

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

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Q: Find the area of the region bounded by the given curves. y = 1/x, y = x2, y = 0, x = e

A: Given curves, y=1x, y=x2, y=0 x=e

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…

Q: 1. Determine the area of the region under the curve y=x√(x² - 1) 2. Determine the area of the region…

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