Find the area bounded by the curve y=4x-x² and the lines x=-2 and y=4.

Q: Find the area bounded by the curve y = x exp(-x²), the x-axis and the vertical line passing through…

A: Given: The given curve is, The x-axis and the vertical line passing through the maximum coordinate.…

Q: find the area bounded by the curve y = (1 + x^2) / (2x^2) and the lines y = 0, x = y, and x = 2

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Q: Find the area bounded by the following curve and line: y=4/x , y²-4y+2x=5 and the line y=4

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Q: 6. Find the area bounded by the curve 2y² + 4x + y = 0 and the line y = 2x.

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Q: Find the area bounded by the curve y = x³ − 3x and y + 4 = 0

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Q: Find the area between the curve y=4x-x² and the x-axis

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Q: Determine the area bounded by the curves y = -x² – 18x + 63 and y = (x – 3)². |

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Q: Find the area bounded by the curve y = x 2 and y = 2 − x 2

A: To find area bounded by the curves y=x2 and y=2-x2.

Q: Find the area of the region bounded by the curve y = x^3 + 3x and the lines x = −2, x = 2 and the…

A: Topic = Application of integration

Q: Find the area between the curves. x = 0, x = 6, y = 5x, y = 3x + 10

A: Given: The curves x=0, x=6, y=5x, and y=3x+10 . The bounded area between the given curves is shown…

Q: Find the area between the curves. x = 0, x = 3, y = 2e3x, y = e3x + e6

A: To find the area between the curves, f(x)=2e3x and g(x)=e3x+e6, use the formula, A=∫ab[g(x)-f(x)]dx.…

Q: Find the area in the first quadrant bounded by the curve y = 3x – x, the lines x = y = 2. 0 and

A: To find the area of the region bounded by the curve we use the formula Area=∫abf(x)-g(x)…

Q: Determine the area bounded by the curves x^3 - y = 0 and y + 3x^2 - 4 = 0 using a vertical element

A: The area is bounded by the given curves x3-y=0 and y+3x2-4=0. The main objective is to determine the…

Q: Determine the area bounded by the curves y = -x – 18x + 40 and y = (x - 2)2

A: The x coordinates for the points of intersection of the curves are given by:…

Q: FIND THE AREA BOUNDED BY THE PARABOLA x = 8+2y-y², THE Y-AXIS, AND THE LINES y = -) AND y = 3

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Q: Find the area bounded by the curve y (x- 2)(x + 1)(2x – 1) and x-axis.

A: We use integration to find the area.

Q: Find the area between the two curves y = x^2 and y = 2x – x^2

A: Given:     To determine: The area between the two curves.

Q: Find the area bounded by the curve y = 4x - x² and and the lines x = 0 and y = 4. %3D Answer:

A: we can find the area between the curve and the lines by integrating the curve function through lines…

Q: Find the area bounded by the curves: 2y2 + 4x + y = 0 and y = 2x.

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Q: The area of the region bounded by the curve y= e", the x-axis,'the y-axis, and the line x 2 is equal…

A: We have to find the area of the region bounded by the curve y=e2x , the x-axis, y-axis and the line…

Q: What is the area bounded by the curves x = 1/y, 2x - y = 0, x = 6, and the x-axis?

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

A: Area

Q: What is the area bounded by the curve y = x3 and x = -2 and x = 1? What is the area bounded by the…

A: we have to find area

Q: Find the area of the region between the line y = −x and the curve y = x2 + x − 3

A: Area of the region is 32/3

Q: Determine the area bounded by the curve y = 2x - x^2 + 5 and the line joining the points (3,2) and…

A: Please see the explanation below

Q: Find the area between the curves. x = -2, x = 1, y = 2x2 + 5, y = 0

A: Given, x=-2,x=1,y=2x2+5,y=0

Q: Find the area between the curves. x = -5, x=2, y = 3x, y = x² - 4

A:

Q: Find the area of the region bounded by the given curves. y = 9x2 ln(x),  y = 36 ln(x)

A: First of all, consider the given equations and assume them as f (x) and g (x). Equate f (x) = g (x)…

Q: Find the area of the region bounded on the left by the curves y = e3x and y=3-x, and on the right by…

A: The area is the amount of space occupied by the surface. It is measured in terms of unit squares it…

Q: solve the area bounded by the curve y=4x-x^2 and the lines x=-2 and y=4

A: To find out the area bounded by the curves.

Q: Find the area bounded by the curve x = y² + 2y and the line  x = 3.

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Q: Find the area between the curve x = y2 and the line x = y + 2 Solution : * with respect to x:

A: Given curves x=y2. . . . 1x=y+2. . . . .2 Equating (1) and (2) y2=y+2y2-y-2=0y-2y+1=0y=2,-1

Q: Find the area of the region bounded by the curve  y = 2x2 - x  and the line  y = x + 4  .

A: To find the area of the curve.

Q: Find the area between the curves: y=x^3−10x^2+21xx and y=−x^3+10x^2−21x

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Q: The area bounded by the curve y = 6x and the lines x = 7,x = 11 and x – axis ахis is

A: → y = mx is the equation of straight line passing through origin with slope m.→ Area of triangle =…

Q: Calculate the area between the curves x = 1– y² by the line x = y² – 1.

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Q: find the area bounded by the curve y=9-x^2 and the x-axis

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Q: Compute the area bounded by the curve y=3x² and the lines y=0 and x = 3,

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the area of region enclosed by the curve y = x' -4 x +3 and the line y =3.

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Q: Find the area bounded by the curve 2y2+2y-x-2=0 and the line x= 2y

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Q: Find the area enclosed between the line y 1 and the curve y = x2 – 4x + 4.

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Q: Find the area between the curves x=y^2/2 and y=x-4

A: First we draw the curves using graphing calculator.

Q: Find the area bounded by the curve x = y^2 + 2y and the line x = 3

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Q: Determine the area bounded by the curves y = -r - 18z + 40 and y = (x- 2)2.

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Q: Find the area of the region bounded by the curve y=x^2-3x the x-axis and the lines x = 1 and x = 2.

A: This question is based on application of integration.

Q: Find the area bounded by the curve and y+ 4 = 0 y=x²-3x 3X

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Q: Find the area between the curves. 3x 3x x-0, x-D4, y3D2e" y-e

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Q: Find the area of the region between the curve y = √2x — 1 and the lines x = 1 and x = 5.

A: Given: The region between curve y=2x-1 and lines x=1 and x=5

Q: Find the area bounded by the curves y=ex+2, y-axis, y=1, and the line x=3

A: Find the area bounded by the curves y=ex+2 and y-axis, i.e., x=0, y=1, and the line x=3. Limit for x…