Find the area of the region enclosed by the curves. x² 2 2 y = |x² - 81| and y = +81 %3D

Q: Find the area of the region lying to the right of x = y? -4 and to the left of x = 2-y².

A: Use given curves x=y²-4  => y²=x+4 is a parabola  with axis of symmetry is (-4,0) And x=2-y²…

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: Q5/ Find the area of the region in the first quadrant that is bounded above by y = √x and below by…

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Q: Determine which graph corresponds to the area enclosed by the curves y = 3a and y = 2 + 2. 5- 8-…

A: Given the curves are  y=3x2 and y=x2+2.

Q: Find the area of the region enclosed by the curves. x2 y = x? - 4| and y = + 4 The area is

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Q: Find the area of the shaded region. y 2 x = y - 6 y=1 x= -4 -2 2 4 H y = -1 -3 2. 3.

A: Given two curves x=y2-6 and x=ey To find the area of shaded region bounded between y=-1 and y=1

Q: Find the area of the region bounded by the graphs of the given equations. y =x+ 20, y =x? The area…

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Q: Find the area of the shaded region. Ay y =x - 2x3 y = 0 -1 2 -1- square units 2.

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Q: Q5 (a) Find the area of the region enclosed by the lines and curves, y=x' -2,and y =2

A: Since you have asked  multiple questions in single request  so we  will be answering only first…

Q: Find the area of the region described. The region bounded by y = 12,288Vx and y = 192x? The area of…

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Q: Find the area of the given region using any method. y 1 49 - x² y

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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: Find the area of the shaded region. y x = y - 7 y = 1 x = ey -4 -8 -2 2 4 -6 y = -1 -2 -3 2.

A: We have to find the area with respect to y here. To find the area between x=e^y and x=y^2-7 we have…

Q: Find the exact area of the region enclosed by a = t - 9t and y = 4t/2 and the y-axis. Be sure to…

A: To Find: The area of the region enclosed by x=t2-9t and y=4t1/2 and the y-axis.

Q: Find the area of the region described. The region bounded by y=4,096 /x and y 64x The area of the…

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

A: In the question it is asked to calculate the region bounded inside of curve r=7-7sin(θ) and outside…

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: 12x 5. Find the area of the region bounded by the curves y = the x-axis, x = 1, and x = 4.

A: Given-  y=12xx2+4. To Find- The area of the region bounded by the above curve , x-axis, x=1 and x=4.…

Q: Find the area of the region bounded by the graphs of the given equations. y = 4x+5, y =x? The area…

A: Given curves are, y=4x+5y=x2

Q: Find the area of the region bounded by the graphs of the equations. y = -x2 + 2x, y = 0 Submit…

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Q: Q5/ Find the area of the region in the first quadrant that is bounded above by y = √x and below by…

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Q: Find the area of the region bounded by the x-axis and the curve below (Show all steps). y = 3x° +…

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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: Draw the figure showing the region and find the area of the region bounded by the curves. y = 4x –…

A: Area of the region is obtained by definite integral . There are two ways of finding area , first…

Q: Find the area of the region bounded by y²= 8x and ? = x please include graph and solution

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Q: Find the area of the shaded region. y 3- 2 X = y' - 5 y = 1 x = e -6 -4 -2 2 4 y = -1 2

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

A: Solution is given below:

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 region. y= 7e-x/4

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Q: O and 8x8 + x°. - Find the area of the region bounded by y = 0 and y

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Q: 6. Find the total area between the region and the x-axis y -g - 2r, -3 <<2

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Q: b) Find the total area between the region and the x- axis. y= x – 4x ; -2<x<2

A: Given equation is                    y=x4-4x

Q: Find the area of the region enclosed by the graphs of 1 1 y = 0, x = 0, and x = 8. || /1 – 16x²…

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Q: Find the area of the shaded region. y 3- x= y - 6 y = 1 (x = e' -2 2 4 H y = -1 2. 2. 3.

A: Consider the graph

Q: Q52.a) Find the area of the region enclosed between the curves y=1+x, y=1+4x, and y=3-x (Sketch the…

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

A: Given y=1/√(1-4x2) ,y=0,x=0 and x=1/4

Q: Find the area of the shaded region. y 3 x= y - 3 y = 1 x = ey - 4 -2 2 4 y = -1 -2 -3 2.

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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: Find the area of the shaded region. y 2 x = y' -9 y= 1 x= e - 10 -8 - 6 -4 -2 4 Hy = -1 -2 2.

A: To find the area between the two curves f(y)=x=ey and g(y)=x=y2-9 Area between curves:…

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 bounded by the graphs of the equations. y = 5 + √√x, x=0, x=8, y = 0 59…

A: Given below figure is the required region whose area to be find.Area of teh region is calculate by…

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: 5. I Find the area of the region enclosed by the curves y = 3x³ - x²-10x and y=2x-x². (x ≥ 0) (a)…

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Q: Q8 Find the area of the region enclosed by the curves: y = x³, y = x, x > 0.

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Q: What is the area of the shaded region in the graph below? x = 2y – y? 1 2.

A: Given curve is x=2y-y2  and interval [0,2]

Q: Find the area of the shaded region. y 3- x = y - 2 y = 1 x= e X -3 -1 (1 2 3 4 y = -1 -2

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Q: a) Sketch and find the area of the region determined by the intersections of the curves. y = x² – 1,…

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