Find the area of the region bounded by the graphs of the given equations. y =x+ 20, y =x? The area is (Type an integer or a simplified fraction.)

Q: Find the area of the region enclosed by the graphs of: y = x and (y- 2)² = x + 4 . | 25 A) 2 25 B) 3…

A: Given:     curves y=x and y-22=x+4     here x=y and x=y-22-4

Q: 1. Find the area of the region R (shaded region). a) y =x-2x+ 2 R

A: Area under the curve is nothing but the Definite Integral with limits being the initial and final…

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

A: Area under the curve is given by integration over required interval

Q: Sketch the region bounded by the graphs of the equations, and find the area of the region. 8(v) =…

A: The solution are next step

Q: 3. Find the area of the region bounded by the graphs of the given equations. 2 y = 4x, y = x? The…

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Q: The area of the region bounded by y = x² , and x = y² is: Select one: а. 2 3 O b. 1 1 3

A: Draw the given curve of graph.

Q: Find the area of the region enclosed by the graphs of x = y2 and y = x - 2

A: Ans: Given curves    x=y2, x=y+2

Q: In the question  given follows,use a graphing utility to graph the region bounded by the graphs of…

A: Find the region bounded by the graphs y=110xe3x, y=0, x=0, x=2. Plot the region bounded by the…

Q: Find the area of the region bounded by: x = y? + 1 y = - x – 1 y = 2 y = - 2

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Q: ind the area of the region bounded by the graphs of the given equations. y = 2 x + 24, y = x2

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Q: 5. Find the area of the region enclosed by y 1 1 y = x, y = x, and x > 0.

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Q: Find the area of the region enclosed by the graphs of 1 1 y = 0, x = 0, and x /1 – 4x²' NOTE: Enter…

A: First set the integral for area and the using rule of integration solved it.Final solution is in the…

Q: 12. Find the area of the region enclosed by x = 8 – y² and y = 2 – x. Draw the region.

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Q: Find the area of the region enclosed by the graphs of 1 0, and x = 10 1 y = 0, x 1 — 25л2 NOTE:…

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Q: Find the area of the shaded region. y =x4. 32 -2 -5- -10+ -15+ -20- 30+ 35- 40- y = -x 4 O 256 516…

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Q: y x-3' y = 0, x = 4, аnd x = 3 + e

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Q: The area of the region defined by 1< |r – 2|+ \y+ 1| < 2 is а. 2 b. 4 c. 6 d. None of these

A: Here we will find the area of the region defined,

Q: Find the area of the region enclosed by y = 4- ², y = -x+2, r = -2, and r = 3.

A: Area under the curve is obtained by using the double integration  The integration is given as…

Q: (4) Find the area of the region in the first quadrant bounded above by y = √x - 1 and y = x - 3.

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Q: Find the area of the region bounded by r2 =50cos(2theta)

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Q: Find the area of the region enclosed by the graphs of 1 1 =0, and x = 4 y = 0, x V1– 4x? - NOTE:…

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Q: Sketch the region bounded by the graphs of the equations, and find the area of the region. 8(x) =…

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Q: Question: a) Find the total area between the region and the x- axis. y x-3x2 + 2x -1<xs2

A: To determine the total area of any curve: Draw the curves Determine the bounded region. Now, using…

Q: Find the area of the region enclosed by the graphs of 1 1 y = 0, x = 0, and x = %3D V1- 9x2 NOTE:…

A: Using formula of area under the curve.

Q: Find the area of the region enclosed by the graphs of the given equations by partitioning the…

A: Given: y=x, y=x3, about x-axis

Q: (b) Find the area of the region enclosed by x = y² and y = x – 2

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Q: Find the area of the region described in the following The region bounded by y = x,y 1 = 0, and x =…

A: We have, y=x, y=1x , y=0 and x=2 On solving further, x=1xx2=1x=1,-1 Plotting the region bounded by…

Q: 1. Determine the area of the region enclosed by x = y? - 3 and y = x - 1.

A: Given the two function  x=12y2−3y=x−1

Q: In the given question , sketch the region bounded by the graphs ofthe equations and find the area of…

A: Area bounded by curves can often be calculated with an appropriate definite integral. The area…

Q: Find the area of the region enclosed by the given graphs. a)f(x) =x^2+x-9 and g(x) = 3x-1 b)-x^2+…

A: Let us take two curves f(x) &amp; g(x), then area of region enclosed between these curves is given…

Q: Find the area of the region bounded by y²-x=0 and y²+x=2₁ A 2²—4² B (√2-1)u² C8u² 3 (D)

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Q: Find the area A of the region between the graphs of the equations y2 = 10x x2 = 10y %3D %3D A = %3D

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Find the area of the region bounded by: x = y? + 1 V3D -X - 1 y = 2 y = - 2

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Q: Find the area of the region enclosed by f(x) = a – 2x² and g(x) = a = 2².

A: Please see the answer in Step 2

Q: Find the area of the region described in the following.  The region bounded by y =  6x and y = 3x2 -…

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: 3. Find the total area between the given region and the x-axis .2 a) y = -x - 2x,-3 < x < 2 b) y =…

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Q: Find the area of the shaded region. H(x) -x3. x2 - 6x gix - 6x 25 20 0, 1) 154 10 15 30 12 O 343

A: Here from the given figure, it is observed that area of shaded part will be calculated using two…

Q: Find the area of the region bounded by the given y = 4ax, y = 4ax°, a > 0

A: The given curves are  y = 4ax y = 4ax3 Intersection point of both curves 4ax = 4ax3 4ax(x2 - 1) = 0…

Q: Consider the following equations. Y= (1)/ (x2 + 1), y=0, x= -1, x= 1 Sketch the region bounded by…

A: Here given curve is Y = 1/(x2 + 1) Y = 0 X = -1 X = 1

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

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Q: What is the area of the region bounded by the graphs of y = x³ – 2x² + 1, x = 1, x = 3 and the…

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Q: Find the area of the region described in the following The region bounded by x = y - 4 and y 3

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Q: (c). Find the area of the region enclosed by the graphs of y=\x+3,x=-3 and y=2.

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Q: 3x 5x Sketch the region enclosed by y = e", y = e", and a = 1. Find the area of the region.

A: in the graph Blueline indicates y=e5x Redline indicates y=e3x Greenline indicates x=1

Q: Find the area of the region enclosed by the graphs of 1 , y = 0, x = 0, and x = 1 V1 – 9x² NOTE:…

A: The curves are given as , y=11-9x2 , y=0 , x=0 , x=16 Find the area of region.

Q: 6x° is: The area of the region enclosed by the graphs of y = 5x and y Add Work

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Q: Let R be the region bounded by the x-axis and the graphs of and y = 4 – 2.x , as shown in the figure…

A: Since you have posted multiple questions but according to guidelines we will solve the first…

Q: What is the area of the region in terms of x? OA. (x2 - 11) dx+ | (10x) dx - V11 I (2-11- 1Ox) dr

A: question on area finding using definite integral

Q: Find the area of the region enclosed by x=y³ and x=√y-6

A: Given: x=y3, x=y-6 For finding areaA of the region enclosed by given curves, we draw graph of both…

Q: 9) find the area of the region enclosed by: x= y' and x=-3y' +36

A: From the given problem: x=y2 : x=-3y2+36   So, the bounded region is shown below:     Finding the…