Find the area of the shaded region below. y x = y² – 2 y=1 x=e> y=-1 Area =

Q: Q: Find the area of the region between the two curves yı=x? and y2=xt-12

A: Area between curves

Q: Find the area bounded by the curve y = x^99 the, the axis and the ordinates x = 0 and x = 1. a.…

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Q: Sketch the region enclosed by y = e5, y = e®², and x 1. Find the area of the region. ||

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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 shaded region. y (1, 7e) 15 y = 7 e 10 5 y=7xe -1.0 -0.5 0.5 1.0 1.5 2.0 20

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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+ 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: Find the area of the shaded region. y2 +x=2 y-x 0 f the following can be used to area of the shaded…

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Q: Solve this attachment.

A: From the figure, the integral to obtain the area can be represented as, ∫-11y2-2-eydy

Q: Sketch the region enclosed by y = e, y = e¹0, and x = 1. Find the area of the region.

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Q: Sketch the region enclosed by y = esz, y = e², and a = 1. Find the area of the region.

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Q: b) Find the area of the region enclosed between the curves y2 x -1 and y= x-3? (Sketch the region)

A: Solution:-

Q: y= Vx-10,md y=0 , Find the area between and between x =0 and x =9.

A: Given: y=x−10y=0between  x=0  and  x=9

Q: y = sin(x), y = 5x, x = ?/2, x = ? Find the area of the region

A: consider the given functions, y=sinx and y=5x over the interval x=π2 to x=π draw the graph of the…

Q: Find the area of the shaded region below. y A y = Vx+2 x = 2 1 y%3D x+1

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Q: Find the area of the shaded region. y 4h 3 y = V x 2 1 1, 1) X = 27 1 y = 5 10 15 25 20

A: Topic- application of integration

Q: Find the area under the given curve. y = Vx + 9; from x = 0 to x = 1 The area is .. (Simplify your…

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Q: Find the area of the shaded region. y 2 x = y? – 9 y = 1 x = eY -10 -8 -6 -4 -2 2 4 y = -1 -2

A: Given

Q: Find the area of the shaded region. 44) 2) (II/4, 2) TE: II II 2 311 4 y = 2 y = csc²x X

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Q: Find the area of the shaded region.

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Q: ind the area of the shaded region. y 2 x = y - 6 y = 1 x= e -4 -2 2 4 H y = -1 -2 -31

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

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Q: Sketch the region enclosed by y = e", y = e7=, and a = 1. Find the area of the region.

A: as per our company guideline we are supposed to answer only one qs kindly post remaining qs in next…

Q: Find the area of the shaded region below. yA x= y² – 2 y = 1 x= e y =-1

A: We calculate area by using double integral as following:-

Q: Sketch the region enclosed by y = e5x, y = ex, and x = 1. Find the area of the region.

A: This question is based on application of integration.

Q: 3x 4x e, y = e", and Sketch the region enclosed by y = x = 1. Find the area of the region.

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Q: Find the area of the shaded region. y 3- x= y - 8 y = 1 x= e X -6 -4 -2 4 Hy = -1 -2 -3 2. 2.

A: To find area of a shaded region we always draw a strips parallel to either x axis or y axis…

Q: Q1: Find the area of the region that lies in the first quadrant under the curve √x + √y = 1. (Draw…

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Q: Q. 2. Find the area of the region in the first quadrant that is bounded above by y = Vx and below by…

A: We will use double integration to solve the following problem.

Q: 6x Sketch the region enclosed by y = e", y = e0", and x = 1. Find the area of the region.

A: Consider the given curves y=e5x,y=e6x, and x=1. Obtain the intersection point as follows.…

Q: Find the area of the shaded region. Show your complete solution. r = 0

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Q: Find the area of the shaded region. y 31 x = y - 4 y = 1 x= e -2 2 4 y= -1

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Q: Find the area or volume. Find the area of the region in the first quadrant between the curve y =…

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Q: Find the area of the shaded region. y 14 (1,5e) 12 1아 y-5e/ 8 4 y = 5 xe -1.0 -0.5 0.5 1.0 1.5 2.0…

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Q: Find the area bounded by the indicated curves. y= 96 – 6x², y = 0 The area is (Simplify your ar…

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Q: Find the area of the region enclosed by the curves. y = x? - 36| and y = * 36

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

A: Topic:- area enclosed by curves and application of integration

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: Find the area of the shaded region y = 5x-x² y=x 1 (a) (4,4) YA x=y²-2 y=-11 1 (b) y=1 x=e²

A: 1aThe area is bounded by the curves y=5x-x2 and y=x.

Q: Find the area of the shaded region    y = - 1  ,  y = 1            ,  x  = e y   , x = y 2  - 2

A: x=ey,  x=y2-2, y=-1  & y=1. The graph is,

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 enclosed by the y-axis and the curve x = t – t²,y = 1 + e¬t.

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Q: Find the area of the shaded region below. YA y A x = y² – 4y (-3, 3) – x = 2y – y? Area =

A: Here we have to find the area of the shaded region.

Q: Find the area of the region in the first quadrant between the curve y = e* and the x-axis. O 2 lee

A: Area under curve is given by the following formula.  Area =∫0∞ydx

Q: Find the area of the shaded region below. y 4 x= y² -2 y = 1 x= e" y=-1

A: Given

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: The area of the shaded region: y-24 -1 (1.2) 2 3 5n

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

A: To find the area of the shaded region which is bounded by the below functions.

Q: Find the area bounded by the curves y = 4 Vx and y 4х 3 а) -18 b) 09 c) -9 d) O18 e) 036

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Q: Find the area of the shaded region. y = e" 4 -1 1 (e - 1)/4 4e 1/4 e/4

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