Decide whether to integrate with respect to x or y. Then find the area of the region. 2x + y2 = 8,  x = y

Q: Find the area of the shaded region.

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Q: Find the area of the region bounded by y = x+6 and y=x^2

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Q: Find the area of the region. y = x2 − 3x,  y = 4x

A: First graph the given curves.

Q: Shade the area of the region bounded by the parabola, x² + 72 – 2(7 + 7)x – 5y + 59 + 98 = 0 and the…

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Q: Shade the area of the region bounded by, x² + y? p Hence, find the area of the specified region…

A: we use integration to find area between curves

Q: Find the area of the shaded region.

A: The given shaded region is

Q: What is the area of the region enclosed by the curve y=e^x and the lines x=-1 and y=3?

A:

Q: y = x² – 14x , y = 0 3D0

A: The given two functions are y = x2-14x and y = 0. The objective is to find the area of the region…

Q: Find the area of the region enclosed by x + y = 2 and x + y = 0

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Q: Find the area of the shaded region: 1. y=x+4 (3,7) (-2, y=r-2

A: Area between the curves

Q: Determine the area of region by y = x^2 + 4x and the y - axis

A: Area between the y=x^2+4x and y-axis is unbounded .  So, we will find the area bounded by the region…

Q: Find the area of the shaded region. y y = Vx 3 마1, 1) x = 27 1 y = X 5 10 15 25 20 2.

A: The area under the graph can be determined by integration. Let, Boundary points are, x1=1 and…

Q: Find the area of the shaded region. y 3 y = Vx 11, 1) x = 27 1 y = 10 15 20 25 2.

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Q: Find the area of the shaded region. 8 y=5 x- x (3, 6) 2 y=2 x 1 21 4.

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Q: Find the area of the region bounded by y=x^2 and y=15-2x

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Q: Determine the area of the given region. The region bounded by y = x2, y = 2x2 - 4x, and y = 0

A: Given, The curves are y = x2, y = 2x2 - 4x, and y = 0 The graph of the region is as below

Q: Find the area of the region enclosed by the graphs of 1 V1 – 4x²* y = 0, x = 0, and x = 4° NOTE:…

A: I am solving it in step 2

Q: Determine the area of the region enclosed by x=12y^2−3 and y=x−1

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Q: Find the area of the region enclosed by y=3.25x and x=7−y^2. Need help with g(y), thank you.

A: Area between  curves

Q: Find the area of the region between x = 2y and x = y3 — y.

A: Given x=2y and x =y3-yThe area between f(x) and g(x) are two continuous functions and  f(x)≥g(x)  on…

Q: Shade the area of the region bounded by, x2 +y2sp2 and |x| + |y| 2p Hence, find the area of the…

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Q: Determine the area of the given region. The region in the first quadrant bounded by y 4x and y =…

A: Equate y=4x and y=x25-x2 to obtain the interval of integration.…

Q: Find the area of the shaded region. y y=5x-x (3, 6) 4 2 y=2 x 1 2 3 4

A:

Q: Find the area of the region bounded by the graphs of the given equations by partitioning the y-axis.…

A: Given equations: y=lnxx=ey=0 Its graph:

Q: Find the area of the region bounded by y=4x^2, y=0 and x=4. Solve in two ways.

A: Let us consider the curve H(x)=f(x)-g(x) then area between the interval [a,b] is obtained as…

Q: y = x2 − 2x,  y = 4x + 7 find area of region

A: y=x2-2x......(1)y=4x+7......(2) Solve the above equation, 4x+7=x2-2xx2-6x-7=0x=-1,7

Q: Find the area of the region bounded by the graphs of the equations. y = 8 + Vx, x = 0, x = 8, y = 0…

A: We have to find the graph

Q: Find the area of the region bounded by Vx2 + y?=4, y+4%3D0,y-4=0 and x-10=D0

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Q: Find the area of the shaded region. y 14 y= 7x- x² 12 10 (5, 10) 6 4 2 y=2 x 2 4 6 8 CO

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Q: Calculate the total area of the region described. Do not count area beneath the x-axis as negative.…

A: Our objective is to find total area of the region bounded by y=2x,the x-axis,and the lines x=2 and…

Q: Find the area of the shaded region. x = y -4 y 2 -6 x = 3 y- y

A: From the given shaded region; Use the double integration method to find the area of the shaded…

Q: Find the area of the region enclosed by x = y and x = /y – 6. %3D

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Q: Find the area of the shaded region. y 4 y = Vx 1 (1, 1) X = 8 1 2 4 6. 8 3. 2.

A: Subtract the lower function from the upper function and integrate the function between the limits 1…

Q: Find the area of the shaded region. y =x – 2 2- y= Vx 1+ + 3 4 -1 square units 2.

A: Given that: To find: Area of the shaded region.

Q: 13x y = 241 • Y = 0, 0<x < 5 y = 0 , 0 < x < 5

A: Area bounded by curve

Q: Find the area of the shaded region. y 4 2 y=V x ((1, 1) X= 8 y = X 4 6 8 1,

A: The region is bounded by the graphs,y=x3 and y=1x from x=1 to x=8

Q: Find the area of the region.  y = x2 − 2x,  y = 5x

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Q: What is the volume formed by revolving about the x-axis the area bounded by the lines x = 1, x = 5…

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Q: Find the area of the region bounded by the graphs of the equations. y = 9 + Vx, x = 0, x = 8, y = 0

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Q: 5. Find the area of the region enclosed by y = 4 – x², y = 3x and r-axis.

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Q: Find the area of the region enclosed by the graphs of 1 1 y = 0, x = 0, and x = 8° V1 – 16x2 NOTE:…

A: The area bounded by the curves y=11-16x2, y=0, x=0, x=18 is shown in the figure.

Q: Shade the area of the region bounded by, x? + y? s p? and |x| + \y] > p Hence, find the area of the…

A: Answer

Q: With the aid of graph diagram, find the total area of the region. а. у%3Dх2— 4х + 3, 0sxs 3, y = 0…

A: To find the Area enclosed by region we use Integration

Q: Find the area of the shaded region. y 3 y = Vx (1, 1) x = 8 2 8. 2)

A: We have to find the area of the shaded region.

Q: find the total area between the region y=3x^2-3, -2&lt; x &lt; 2 and the x axis

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Q: Compute the ”volume” of the 4-dimensional unit ball, which is the area enclosed by the equation x^2…

A: Given that, x2+y2+z2+w2=1. The volume for n dimensional unit ball is, V(n)=V(n-2)×2πn For n=4,…

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

A: We need to determine the area of the region enclosed between y=8x , y=2x , x=4 Now, in the graph…

Q: Find the area of the shaded region. y 4 3 y= Vx 1 (1, 1) y = 2. II 2)

A: Given graph, The main objective is to find the area of the shaded region.

Q: Find the area of the shaded region    y = 5x - x 2  ,  y = x            ,  (x ,y )  =  ( 4, 4 )

A: The given equation of curves are: y=5x-x2. y=x Draw the area represented by the curves. The area…

Q: Find the area of the following region having the given boundaries: y = x3 – 6x2 + 8x x = 0,x = 4, y…

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