Find the area of the region enclosed by the curves x= y³ – y? and a 2y (see diagram). Show and explain your work. Show and explain ALL your work

Q: Find the total area of the region between the curve and the x-axis. y= -x +9, 0 sxs5 98 O A. 3 O B.…

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Q: problem in photo attached

A: Graph the functions. Shaded the bounded region by y=x^2 and y=x^4.

Q: Find the area of the region enclosed by the curves y=x+5, y^2=x, y=-1 and y=2

A: You need to draw the graph using the given details and find their intersection points. Then…

Q: a) Find the area of the region enclosed by the curves y = 12 – x² and y = x2 - 6. Answer: A =

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Q: Find the area of the region enclosed by the curves y = Vx and y = x. = vx %3D

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Q: Find the exact area of the region that lies under the curve given by y = 10/2x +1, 0<x <1 %3D

A: We know the area of the region that lies under the curve  y=f(x),  a≤x≤b is given by Area =∫aby dx…

Q: Calculate the area of the region bounded by the curves x = y? and x = (2 – y²)². Explain your…

A: We will first solve where the equations meet for y. y2=(2-y2)2…

Q: Find the area of the region enclosed by the curves y = x³ and y = 4x. 24 8 16

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Q: Find the area of the region bounded by graphs of the two curves

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Q: 3 a. y= 2x and y =8– 4x b. y= x°, y =8, and x= 0

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Q: Find the area of the region between the curves y = 12 – a? and y = x² – 6. Area between curves =

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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: What is the area of the region enclosed by the curves y = x³ and x =y² ? A) B) D) E) 15

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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: Determine the area enclosed by the curve r²=4sin(20).

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Q: Find the area of the region bounded by the line y=(1/2)x and the parabola y? = 8-x.

A: Area between curves

Q: Find the area of the region R enclosed by the parabola y = x2 and the line y = x + 2.

A: Given that y=x2          ...(1)y=x+2       ...(2)

Q: Sketch the region enclosed by y=e^4x,  y=e^6x, and x=1 Find the area of the region

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Q: Sketch the region enclosed by y=e^4x,  y=e^8x and x=1. Find the area of the region.

A: Given curves are  y=e4x, y=e8x and x=1. The graph is

Q: Find the exact area of the region that lies beneath the curve y = 8 sec2 (x), 0 < x < n/3. %3D

A: The curve y=8sec2(x), 0≤x≤π3

Q: Find the total area of the curve r=2sinA+2cosA.

A: We have to find the total area of the given curve.

Q: Find the total area of the region between the curve and the x-axis. y= 2x-x, 0sx s2 O A. 3 O B. 3.…

A: Explanation: Given that: y=2x-x2 Concept: The area under the curve  A=∫abfxdx here a=0b=2

Q: Sketch the region enclosed by y = eš", y = e4", and x = 1. Find the area of the region.

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Q: Calculate the area of the region bounded by the curves ? = ?² and ? = (2 − ?²)². Explain youranswer

A: Given curves are    x=2-y22 and x=y2   !st we need to find the points of intersection of the two…

Q: Find the area of the region enclosed by the curves y = 4 24 8 16 x³ and y = 4x.

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Q: Find the exact area enclosed by the curves y = 2 - x and x 4- y. (see diagram below)

A: I am attaching image so that you understand each and every step.

Q: Find the area of the region enclosed by the curves y = x + 5, y² = = x, y = −1, and y = 2.

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Q: r = 3 + 2cos0, r = 3+ 2sin0

A: We have to find the area of the region that lies inside both curves.

Q: Find the area of the region enclosed by the curves y = 7 – 2x² and y = x² + 4

A: We need to find the area of the region enclosed by the curves y=7-2x2    and    y=x2+4. Let us plot…

Q: Sketch and find the area of the region that lies inside the curve r = 4 + 3cose .

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Q: Find the area of the region R enclosed by the curves y = x3 and y = x3

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Q: Determine the area of the region enclosed by the curves y=1/x, y=1/x2, and x=9.

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Q: Find the area enclosed by the closed curve obtained by joining the ends of the spiral r= 98,0 < 8<…

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Q: Find the area of the region enclosed by the curves x + y² = 3 and 4x+ y? 0 %3D

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Q: Find the area of the region enclosed by the curves y =x and y = 1 FIRO FIRO

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Q: Find the area of the region bounded by the curves, y = -6, y = 6, the y – axis and the parabola y? –…

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Q: Find the area of the region R enclosed by the parabola y-x and the line yー国

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Q: Find the area of the region bounded by the following curves: the x-axis, r= 0 and x V3. y =…

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Q: Find the area enclosed by the curve r= 5cos0

A: The given curve is as follows:r=5cosθTo find the area enclosed by the curve r=5cosθ

Q: Find the area of the region enclosed by the curves y=x' -4x and y = -2x

A: y1=x2-4x    and  y2=-2x

Q: What is the area of the region enclosed by the curves y = x³ and x = y? ? A) : D) E) 8 C) 15

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Q: Find the area enclosed by the curves y = y = 2 1- 9x2 2n B 3 D 6. [+

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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 total area of the region between the curve and the x-axis. y = 2x +7;1sxs5 52 26 9. O 18

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Q: Find the area enclosed by the curves y=x5, y = √√x , x = x = 0, x = |c

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Q: A. Find the area of the region between the curves y = x and y = v4 -x.

A: Area of integration problem....

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

A: Given the curves is x=12y2-3 and y=x-1

Q: Find the area of the region that lies inside the first curve and outside the second curve. r =…

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