Sketch the region enclosed by the straight line y = 4x − 4 and the curve y = x2 and find the area of the region.

Q: Sketch the region bounded by the graphs of the equations y = −x2 + 3x + 1, y = −x + 1 and find the…

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Q: The area of the region bounded by the two curves y = x²and y 25 is Square Units

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Q: Find the area of the region bounded by the three curves y = x^2 , y = 8−x^2 , and 4x−y + 12 = 0.

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Q: Sketch the region bounded by the curves 4x2 + y = 28 and x* – y = 4, then find the area of the…

A: Area between curves

Q: Find the area of the region between the line y = 2x and the curve y = x²+ x – 2

A: y=2x --------(1) y=x2+x-2 -------(2) For points of intersection…

Q: Find the total area of the region enclosed by the curve x = y^(2/3) and the lines x = y and y = -1.

A: To determine the area bounded by the curves.

Q: Find the area of the region bounded by the three curves y =x², y = 8 – x², and y = 4x + 12.

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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: The area of the region bounded by the two curves y = x and y = 64 is Square Units

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Q: Sketch the curves y = x +3 and y= 4x, and find their intersection points. What is the area of the…

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Q: Sketch the region, Find the area in square units of the region bounded by the curve y^2=x, and the…

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Q: The area of the region bounded by the two curves y=z' and y 64 is %3D Square Units

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Q: The area of the region bounded by the two curves y = r and y = 4 is Square Units

A: Given: y=x2y=4

Q: Sketch the region enclosed by the curves y=2x, y=〖2x〗^2+x-3, then find its area.

A: The two curves are :                                    y=2xy=4x2+x-3 To determine:…

Q: Find the area between the two Curves- y=x, a°y = x³ 3,

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Q: Find the area of the region cut from the first quadrant by the curve x1/2 + y1/2 = a1/2.

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Q: Sketch the region enclosed by the curves y = x² and y = 4x – x² and find its area.

A: Plot the 2 curves and find the area A to be calculated. The shaded region between the curves is the…

Q: Sketch the region in the first quadrant bounded by the curves y = 1 x2 and x = 5. Then find the area…

A: The region bounded by y=1x, y=1x2 and x=5.

Q: Find the area of the infinite region in the first quadrant between the curve y = eX and the x-axis.

A: Given curve, y=e-xand x-axis Formula for the area of the region under a curve is given by A=∫aby dx

Q: Find the area of the region bounded by the curves: y = 2x and y = x² – 4x

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Q: Find area of the region enclosed by the parabola y = 3x – x and the line y = x.

A: Find the solution below

Q: Find the area of the region enclosed by the line y = 4x and the curve y = x3 + 3x?

A: Given: y=4xy=x3+3x2

Q: Find the area of the region in the first quadrant bounded by the line y = x, the line x = 2, the…

A: the area of the region in the first quadrant bounded by the line y = x, the line x = 2, the curve y…

Q: Find the area of the region bounded by the curve y = 9 - x2 and the x-axis. Answer:

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Q: Find the area of the region bounded by the line y = 4 - 2x and the coordinate axes.

A: Given query is to find the area bounded by the line.

Q: 2 y = x - 3x, y=x 3r.

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Q: Sketch the region enclosed by the curves y = x2- 4 and y = 3x − 4, and find its area.

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

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

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Q: Find the area of the region bounded by x = the horizontal strip. y²+1 and the y-axis using

A: Find the area of the region bounded by x= 1/(y2+1) and the y-axis using the horizontal strip.

Q: Find the area of the region between the line y = 2x and the curve y = x2 + x − 2

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Q: Find the area of the region bounded by the curves y = 1 (x+1)21 2 y = 4 and

A: Please refer to the image below

Q: Find the area of the region bounded by the two curves. y = x2 + 3 y = 7x + 3

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Q: Find the area of the region bounded by the curve y = e2x - 3e* + 2 and the x-axis.

A: The region is bounded by the graph y=e2x-3ex+2 and the x-axis.

Q: Find the area of the region between the x-axis and the curve .3 y = x³- 4x - 2 < x<2 ?

A: Let us first plot the graph of y=x3-4x, -2≤x≤2.

Q: Sketch the region enclosed by the curves y = x2  and y=4x-x2 and find its area.

A: Given: y=x2 and y=4x-x2

Q: Find area of the region under the curve y=8−3x^2 and above the x-axis

A: First we find where y=8−3x2 cuts x axis. We set y=0 and solve for x

Q: Find the area of the region bounded by the three curves y = x², y = 8 - x², and 4x - y + 12 = 0.

A: Given: y=x2y=8−x24x−y+12=0

Q: Find the area of the region in the first quadrant bounded by the line y=3​x, the line x=4​, the…

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Q: Sketch the region and find the area of the region bounded by y = 3x + 1, the lines x = 1 and x = 4,…

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Q: Find the area of the region enclosed by the curves: y = x' – 2x², y = 2x² – 3x -

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Q: 7) Find the area of the region enclusced by the curves y=x² and

A: Please refer the attached image for complete solution. THANK YOU !

Q: Find the area of the region between the curves  y= x2 − 4 and y= 2 − x.

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Q: Find the area of the propeller-shaped region enclosed by the curves x - y1/3 = 0 and x - y1/5 = 0.

A: We have the curves x-y13=0 and x-y15=0. We have to find the area of the propeller-shaped region…

Q: Find the area of the region bounded by the parabola x = y -y and the line y = x

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Q: Sketch the region below the curve y = x – x² and above the x-axis and find its area.

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Q: The area of the region bounded by the two curves y = x² and y = 9 is Square Units

A: Draw the both curve than find their intersection points and integrate in that interval.

Q: Sketch the region enclosed by the curves y = xe¬x², Find the area enclosed by the given curves. `, y…

A: Given: y=xe-x2, y=x+1, x=2 for finding area enclosed by given curve and y-axis, first we draw region…

Q: Find the area of the region in the first quadrant bounded by the line y = 8x, the line x = 1, the…

A: Intersection Points are:  The line x=1 will intersect the x-axis at (1,0) because y is 0 at…