5. Sketch the region enclosed by the given curves and find the area bounded by the curves y = Vx – 1, x-y = 1.

Q: find the region bounded by x= Y-y3 ,X=1 = 1 Y=L, revolved about o X- axis

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: 2 ア=x,y=2r

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Q: Find the area bounded by the given curves. 1. x^2=4y , 3x-4y+4=0

A: The area between the curves is the area between a curve fx and a curve gx on an interval a,b given…

Q: Sketch the region enclosed by the given curves and find its area. (a) 4x + y2 = 12, y = x (b) y = 3x…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Find the area bounded by the given curves. y = 2x – x², y = 2x - 4 %3D I|

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Q: 7. Compute the area of the region R enclosed by the curves y = x² - 1 and y = 1- x.

A: We have to find out the area

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 three curves y = x², x = y³, and x + y = 2.

A: It is given that, y3=x ⇒y=x13let, y=f1(x)=x13y=x2let, y=f2(x)=x2x+y=2⇒y=2-xlet, y=f3(x)=2-x   Area…

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: Sketch the region bounded by the given curves, then find its area. 2. x = y2, x = y +6

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Q: Find the area of the region bound by the following curves: y = /x, y= 6 – x, y = 1. O 17/6 O 1/2 O…

A:

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: Sketch the region enclosed by the curves à - 5 = 4y and x − 21 = (y — 4)², and compute its area.

A: x-5=4y⇒x=4y+5     x-21=(y-4)2 ⇒x=(y-4)2+21 Area between the curves…

Q: Sketch the region bounded by the given curves, then find its area. 1. y = x², y = 2x

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Q: Compute the area of the region R enclosed by the curves y = 4 – x² and y = x – 2.

A: The solution is given below:

Q: Sketch the region enclosed by the given curves andfind its area.   x = 2y2    ,x = 4 + y 2

A: Given curves are x=2y2 and x=4+y2 Will find the intersection points of the given curves. We will…

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: Sketch the region enclosed by the given curves and calculate its area. y= square root of x, y=0, x=4

A: Given,

Q: Find the aea of the region bounded by 2. given Curves

A: We have to find the area bounded by the given curves. This problem can be solved by using…

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: 9. Find the area of the region bounded by one loop of the curve x? = y*(1– y2)

A: Use substitution method  And sin2t=2sintcost , sin²2t=(1-cos4t)/2

Q: Sketch the region enclosed by the given curves. y = Vx, y = X = 25 y 6 6 4 2 X 10 15 20 25 10 15 20…

A:

Q: Sketch the region enclosed by the curves x = y² + 2 and x 6 and find its area.

A: Given curve

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 enclosed by curves x=4y^2 ,x=0, and y =2

A: we have to find area of the region

Q: Sketch the region enclosed by the given curves and find its area. y = x²,y = 4x – x²

A: Given y=x2 ,y=4x-x2

Q: 9. Consider the region bounded by the curves y = e", y = e¬¤ and y = 2. %3D

A:

Q: Sketch the region enclosed by the curves y = 2 sin(x), y = 2 csc²(x), x = 7 and x = 4, and compute…

A: The given curves are: y=2 sin x,       y=2csc2x,       x=π4      and      x=3π4

Q: Sketch the region enclosed by the given curves and find its area: y = (x – 3)2, y = x + 3.

A:

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

A: Answer

Q: Sketch the region enclosed by the given curves andfind its area.   y = |x| ,    y = x2- 2

A: Given curve  y=x2-2 and y=x When the value of x<0 then, y=-x and and when x>0 then y=0. Solve…

Q: Sketch the region enclosed by the curves x − 5 = 4y and x − 21 = (y – 4)², and compute its area. A

A: The given curves are; x-5=4y and x-21=y-42 Now find the point of intersection between the given…

Q: Find the area of the region R enclosed by the curves y = x2 – 2x and the х — ахis.

A: Given: y=x2-2x

Q: Find the area of the region enclosed by the given curves. 1. y = e*, y = x² – 1, x = 0, x = 2.

A:

Q: 8 Determine the area of the region bounded by the curves y = =, y = 2x and x = 4

A:

Q: Sketch the region enclosed by the given curves andfind its area.       y =|x|     , y =  x2 -2

A: Definition used -      Area between two curves -       If two curves f(x) and g(x) are…

Q: Sketch the region enclosed by the given curves andfind its area.    x = 2 y 2  , x =  4 + y 2

A: Definition used -    The area between curves -                        A=∫ab(f(x)-g(x))dx

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

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Q: Find the area bounded by the given curves. 1) y = x³, y = 8, x = 0

A: As per the policy, we are allowed to answer only one question at a time. So, I am answering the…

Q: Find the area of the region enclosed by the given curves  y = 1/4x^2 y = 2x  x+y = 3 while x is…

A: I have done solution step by step in detail...go through the solution

Q: Find the area of the region bounded by the given curves: yx = 1, y= 0 , x = 1, x= 3

A: Given: Find the area of the region bounded by the given curves: `yx=1 y=0 x=1 x=3`

Q: 3. xy = a², y = 0, x = a, x = 2a.

A:

Q: 2. Find the area of the region enclosed by the curves and x, 0 < *< 2. y = y = (x2 + 1)2 4*

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Q: Sketch the region enclosed by the given curves andfind its area. y = 12- x 2   , y = x2 - 6

A: Given curves are y=12-x2y=x2-6

Q: Find the area of the region bounded by the curves y = x²y = x² and ² 01/2 02 O 1/3 O 2/3 = xy = x.

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

A: By using area between the curve formula, we calculate the required area.

Q: = 2. Find the area of the region enclosed by the curves Vx and y = x² between x = 1 and x =

A: Given curves x2 and √x To find the area of the region enclosed by the curves between x= 1 and x=2.

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

A:

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…