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

Q: Find the area of the region enclosed by the positive x-axis and spiral r = 4u/3, 0<= u <=2pai.…

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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 of the shaded region below. yA x=y² - 2 y 1 x=e y=-1

A: Given: Eq1 : x = ey  Eq2 : x = y2 - 2  Limit y = -1 to y = 1

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 bounded by the indicated curves. y=6-6x, y=D0 The area is square units.

A: The given curves:y=6-6x2, y=0We need to find the area bounded by the given curves.

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

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Q: Find the area of the shaded region. x = 2- y2 -2 2 11 A 10 - 3. 8. D. 3. 2.

A: The area of the Shaded Region: the shaded zone's area is computed by subtracting the area of a…

Q: y y= 4x y3= 2 y345– x

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

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

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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: b) Find the area of the shaded region. 1) ii) y= T x=-y 2Fx= 2- y²

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

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 region bounded by the curve y=1- 2 and the x-axis. A) 4 square units 6 square…

A: We have,

Q: 9x2. Decide whether to integrate with respect to x or y. Then Sketch the region enclosed by y = 2x…

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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: Find the area enclosed by the x-axis and the curve y = -x² + 9. 32 A.) s.u. B.) 18 s.u. C.) 36 s.u.…

A: Follow the procedure given below.

Q: Find the area of the shaded region below. у y =Vx 2 x=2 1 y=- x1 Area

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Q: the area of the region enclosed by y = 2 – x´ and y = -x, identify the "a" and "b"

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Q: |-4 Find the area of the shaded region. 3. yA 4. yA x= y? – 4y x= y? - 2 y=1 (-3, 3) x=e y=-1 x= 2y…

A: A= ∫y=-11…

Q: Find the area between two curves. x = y? 2- x = 9 0- + + + 10x 2 -2- 4 6 8 4.

A: The objective is to find the area between two curves.

Q: Solve the problem. Find the area of the region enclosed by the curve y = x sin x and the x-axis for…

A: We have to find area of curve y=xsinx and the x-axis for 8π≤x≤9π

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

A: This question is solved by concept of double integral.

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: Find the area of shaded region frx)- メ+3 grx)= -x²_ 3 Alx) 3 gre a) 176 3 5) = 88 C) 44 3.

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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 bounded by the indicated curves. y= 96 – 6x, y= 0 The area is (Simplify your ar cubic…

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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: Find the area of the region enclosed by the curves x + y² = 0 and x + 4y² = 12. The area of the…

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

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Q: Find the area between the curves y = = x² and y = %3D 3+ 2x2 Select one: V2 O a. O b. 2/2 V2 c. 6.…

A: The region is bounded by the curves,   y=x2 and y=23+2x2 Note:      Multiple questions are given, we…

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: a) Find the area of the curve x²/3 +y2/3 = a²/3 %3D

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Q: Find the area enclosed by the curves y = y = 2 1– 9x2 (A B © i- 3. 2π

A: The area enclosed by the curves,y=11-9x2 and y=2

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 of the shaded region. The image is not to sca y = F y=- Consider c=4. Enter the exact…

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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: Q3/ Find the area of the region in the first quadrant that is bounded above by y = with respect to…

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Q: Sketch the region enclosed by y = e3, y = e0*, and a = 1. Find the area of the region.

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

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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 of the shaded region below. y A x= y² – 4y (-3, 3)- x = 2y – y?

A: Using the method of Integration

Q: Find the area of the shaded region below. y A y= 5x – x² (4, 4) y = x Area = %3D

A: The figure is given by To evaluate : The area of shaded region.