Sketch the region enclosed by y = 4x and y = 8x². Find the area of the region.

Q: Find the area of the shaded region.

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Q: Find the area of the region enclosed by the parabola Y 6x – x² and the r-axis. AREA =

A: Given: The equation of parabola is, y=6x-x2

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

A: First graph the given curves.

Q: Determine the area of the shaded region. y= V1 – x y = %3D

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Q: area

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Q: Find the total area of the shaded region. y = 4 2- y=4 cos2x 1/2 31/2 2.

A: Area between two curves can be found by integration as shown in next step

Q: Sketch the region bounded by the curves 4x2 + y = 28 and x* – y = 4, then find the area of the…

A: Area between curves

Q: Find the area of the shaded region. r = Vē 9n?

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Q: Sketch the region enclosed by y = 6x and y = 7x2. Find the area of the region.

A: Given curves are y=6xy=7x2

Q: Find the area of the shaded region. y 2+ y = x+ – 2x3 1 y = 0 2 -1 i

A: Given, The function  ; y = 0   and  y = x4 - 2x3  the limits : x = 0  and x = 2 We have to find the…

Q: Determine the area of the region between y = x+2, y = 2* + x and the y axis. ABC ттт Arial 3 (12pt)…

A: Given curves  y= 2x+x  y=x+2

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: Sketch the region enclosed by y 5x and y = 5x. Find the area of the region.

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Q: 5 y X a %|

A: The  given curves are , x=y415 , x=y17 is, The curves are : x-y415=0  , x-y17=0x=y15415        ,…

Q: Find the area of the region between the curves y = |2| and y = 1² - 2. %3D %3D Area between curves =

A: Given: y=x    and   y=x2-2

Q: Sketch the region enclosed by Y 6x and y = 9x". Find the area of the region.

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

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Q: Find the area of the region enclosed by the curves y = |x² – 4[ and y = 4+

A: We sketch the region using a graphing calculator y=|x2-4| (green)  y=4+ x2/2 (violet)

Q: What is the area of the shaded region? y = y = -2x*

A: We will take difference of both curves to find the area using integration.

Q: Sketch the region enclosed by y=3x and y=7x^2 Find the area of the region.

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Q: : Find the area of the region R enclosed by the lines y= x, y x/3 and y = 2?

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Q: Determine the area of the shaded region. - y = y = V1 - x

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Q: Find the area of the region cut from the first quadrant by the curve x1/2 + y1/2 = a1/2.

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Q: Find the area of the region R enclosed by the lines y = x, y = x/3 and y = 2?

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Q: Sketch the region enclosed by the curves y=x+2, y=25-x^2, x=-2, and x=2. Find the area of the…

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Q: Sketch the region enclosed by y = 2x and y 7x. Find the area of the region.

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Q: Sketch the region enclosed by y 7x and y = 6x². Find the area of the region.

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Q: Sketch the region enclosed by y = 3x and y = 5². Find the area of the region.

A: find intersection

Q: Find the area of the region enclosed by the line y = 4x and the curve y = x3 + 3x?

A: Given: y=4xy=x3+3x2

Q: Sketch the region enclosed by y = 7x and y = 9x². Find the area of the region.

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Q: Sketch the region enclosed by y = 2x and y = 7x². Find the area of the region. %3D

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Q: Find the area of the shaded region. 5ft

A: Given shaded region is  This shaded region is quarter of a circle having radius 5 ft. Therefore the…

Q: Sketch the region enclosed by y=2xy=2x and y=5x2y=5x2. Find the area of the region.

A: Given that, the curves are    y=2x  and   y=5x2 Enclosed Region:

Q: Sketch the region enclosed by y=6x and y=8x^2. Find the area of the region.

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Q: Find the area of the region inside the circle x + y = 2 and above the line y = 1. %3D

A: We have above diagram from given statement and area of yellow part , we have to find We can see…

Q: Sketch the region bounded by the curves x – y = 2 and x + y? = 8, and then find the area of the…

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Q: Sketch the curves y = 8 − x^2 and x^2 and calculate the area of the regionbetween them.

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

A: Given  y=e4x,y=e8x and x=1 we have to find the area if region

Q: Sketch the region and find the area of the region bounded by y = 3x + 1, the lines x = 1 and x = 4,…

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Q: Find the area of the region enclosed by the curves: y = x' – 2x², y = 2x² – 3x -

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Q: Find the area of the region enclosed by the curves: y = x' – 2x², y = 2x² – 3x

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Q: Determine the area of the region enclosed by the curves y = 3 VI, y=5– T, X-axis and y-axis in the…

A: The area between the curves y=3-x and y=5-x on interval 4, 5:The area between curves is the area…

Q: Determine the area of the region enclosed by y = x² and y = Va.

A: In the given question we have to find the area of the region enclosed by the curve y=x2 and y=x.…

Q: Find the area of the region enclosed by the curves: y =x', and y= 2x-x

A: Consider the curves  y=x2y=2x−x2

Q: Find the area of the shaded region. 12) y = Jx - 3 (16,1) 16 (0, -3)

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Q: Sketch the region enclosed by y 4x and y 9x2. Find the areą of the region. =

A: l

Q: Find the area of the region enclosed by y = x² – 2x and y =3.

A: Our objective is to find the area.

Q: Find the area of the region between y = 4x² and y = a? + 2.

A: Explained below

Q: Find the area of the region enclosed by the cur y = 7 - 2x2 and y = x2 + 4.

A: Given,                     y=7-2x2   and     y=x2+4

Q: Sketch the region enclosed by y 6x and y = x. Then find the area of the region.

A: