1. Determine the area of the region enclosed by x = y? - 3 and y = x - 1.

Q: 9: Find the area of the region enclosed by the curves y x? and x = y about x-axis

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Q: 2)Find the area between y2=x and y=X-2 by using: a) Vertical strip. b)Horizontal strip.

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Q: 2. Sketch the region whose area is represented by the integral 6 Siz dxdy.

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Q: Sketch the region enclosed by the curves x-6=3y and x-24=(y-6)^2 and compute the area.

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Q: Sketch the region bounded by the graphs of the equations and find the area of the region.

A: given,

Q: 16. Sketch the region enclosed by y = |x| and y = x2 - 2, and find its area.

A: To evaluate the area between the following curves

Q: 31. y = x', y= 2 – |x|

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Q: 4. Determine the area of the region enclosed by y = sinx, y = cosx, x= π/2, and the y-axis.

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Q: Find the area of the region bounded by: x = y? + 1 y = - x – 1 y = 2 y = - 2

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Q: Consider a triangle of area 2 bounded by the graphs of y = x, y = 0, and x = 2.   Sketch the region?

A: First draw the x and y axes . Label x for x-axis and y for y-axis . Line y=0 passes from the point…

Q: Sketch the region bounded by the graphs of y =3y = 0,x = 4, and x= 7. Then compute the area. Area is…

A: Solution is given below:

Q: Find the area of the region enclosed between y=2sin⁡(x) and y=4cos⁡(x) from x=0 to x=0.9π. Hint:…

A: We know that definite integral gives us the area covered under the curve and the coordinate axis.…

Q: 5. Find the area of the region enclosed by y 1 1 y = x, y = x, and x > 0.

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Q: Calculate the area of the region bounded by x+y = 4, r + y = 8, x = 0, and I = 5.

A: Given:         Area of region bounded by x+y=4…

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

A: For the given curves  y = x2 and y = 2x-x2  Area of the region enclosed by the above curves are…

Q: Give area of the region enclosed by y and y = 0 from x = 1 to x = 3. 2 A. 2 В. 3.4 С. 1.5 D. 1

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Q: 5.a) Find the area of the region enclosed between the curves x= y? and x= 4? (Sketch the region)

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Q: у 3 2* + 1; у — 5 y = = x'

A: From the given curve the bounded region is as shown below. Now find the point of intersection…

Q: Sketch the region enclosed by the given curves and find the area.  y = 12 − x ² , y = x² − 6

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Q: 1. Sketch the region enclosed by the given curves and find its area. y = x?, y = x*

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Q: 4. Sketch the region enclosed by y = 2x – x? and y = 0. Use calculus to find the exact area of this…

A: The solution is given below:

Q: . Sketch the region enclosed by y= 9-x and y = 0 and calculate its area. 14.

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Q: Determine the area of the region bounded by y = xvx? + 1,y = e¯i,x = -3 and the y-axis.

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Q: Sketch the region enclosed by the given curves and calculate its area. y= square root of x, y=0, x=4

A: Given,

Q: Give area of the region enclosed by y and y = 0 from x = 1 to x = 3 2 А. 2 В. 3.4 С. 1.5 D. 1

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Q: 2.1 Find the area of the shaded region. y=1 x=y'-1

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Q: Find the area of the region between y = 3x? + 12 and y = 4x +4 over [-3, 3] (Figure 12). y y = 3x2 +…

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Q: a. Calculate the area of the region bounded by x? - y – 1 = 0 and 2x – y +7 = 0

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 2.2. Sketch the region enclosed by y = VI-1, 1- y = 1 and calculate its area.

A: Area between the curves

Q: 2. Sketch the region and find the area of the region bounded by y = -x? + 9 and the x-axis.

A: The region is bounded by the curve y=-x2+9=-(x-0)2+9 and the x-axis.

Q: y =x.y = x, x> 0 1 1 y : X у —х, у — —х, х > 0 4

A: we need to use integration to find area between curves

Q: 15. у з ,y = 1+x? Y = |x|

A: Accoding to Given Question no 15 only

Q: y = ; y = -x², x = 1, x = 2

A: Area between curves

Q: 2 the area bounded by y = x , y = x is

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Q: Find the area of the given region. 5 y = 16 + x2 y 0.5 0.4 0.2 0.1 -1 1 4 -0.1 4 2.

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Q: 1. Sketch the region enclosed by the given curves and find its area. y = x², y = x*

A: Answer

Q: 2. Find the area of the region enclosed by æ + y? = 0 and ¤+3y² = 2.

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Q: x = 4 – y? ;x = 4 – 4y

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

A: Given problem is :

Q: What is the area of the region enclosed by the curves y=e^x, y=x^2-1 and the lines x=-1 and x=1? O…

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Q: Sketch the region enclosed by the given curves and find the area. x = 2y ² ,  x = 4 + y

A: Sketch the region and integrate in y variable.

Q: 5. Find the area of the region enclosed by y = =, y = x, Y = 7x, and x > 0.

A: Ans: 0.69315 sq.unit

Q: 8 Determine the area of the region bounded by y = y = 2x and x = 4

A: Given the region is y=8x,y=2x,x=4 Graph is given below

Q: Find the area bounded by y^2 = 2x + 3 and y = x. y = x y? = 2x +3

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Q: 2. Determine k if the enclosed region has area y. - y = k 5급 units?.

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Q: 2. Determine the area of the region bounded by x = y? – 4 and y = and sketch a graph of the region.

A: We graph the region using a graphing calculator  y=x/3 (red) x=y2-4 (black)

Q: 19. y = x - 4x+ 3x, y = 0

A: Sketch the graph of the curve, find the point of intersection of the curve with x-axis and calculate…

Q: 4- Find Ix and Iy For The Region Bonded by y=x² and y=Vx 5- Find the area of The Cirde x+9=4 From…

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Q: 1- Calculate the area of the region which is bounded by: y = (x - 1)², y = (x-4)2, and y = 0.

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Q: 23.a) determine the area of the region bounded by x= -y²-3 and x= (y – 2)2 ? (Sketch the region)

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