Find the area of the region enclosed by the line y=4 and the curves y=e^x and y=(x-1)^2

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: Sketch the graph of the curve y = x³-21x² +146x-336 Shade the area of the region bounded by the…

A: Sketch the graph of the curve y = x³-21x² +146x-336 Shade the area of the region bounded by the…

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

A: See below

Q: Find the equation of the vertical line that divides the area of the region R bounded by 1 y = 20x2…

A: Identify the limits of integration from the given region, to calculate the area of the region. Here,…

Q: Find the area bounded by the curve y = x2, AB is tangent to this curve at point P (2,4) and the x-…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: Determine the area bounded by the curves y=sinhx, y=coshx, the y-axis and the line y=1.

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Q: Sketch the region bounded above by the curve 6xe−x6xe-x, the x-axis, and x = 3, and find the area of…

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Q: 4. Find the area of the region in the first quadrant bounded on the left by the y-axis, below by the…

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Q: Find the volume of the solid generated by revolving the region in the first quadrant bounded by the…

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Q: Determine the area of the region between the two curves by integrating over .the y-axis X = y2 and x…

A: Area of the region between the two curves x1(y)  and  x2(y) is given by ∫abx1-x2dy    where a≤y≤b

Q: Find the area of the region bounded by the curve y = x2 + 3x + 2, x = 0, x = 2, and x axis

A: Solution

Q: Calculate the total area of the region described. Do not count area beneath the x-axis as negative.…

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Q: Calculate the total area of the region described. Do not count area beneath the x-axis as negative.…

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

A: Given curves are  y2=4x, 2x+y=4 The region bounded by the above curves  is the yellow colored region…

Q: Determine the area of the region between the two curves by integrating over the y-axis. x = y² and x…

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Q: What is the area of the region bounded by the graph of the y= 2/x function x = e, x-e^2 lines and…

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Q: Find the area of the region that lies under the curve y = 4x-x over the interval 0<x<4. y = 4x - x

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Q: What is the area of the region between the graps y = x – 1 and line y = -x – 1

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Q: Find the area bounded by the curve y = 1+x² and the lines y = 0, x = y and x = 2. Show complete…

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Q: Find the area of the region bounded by the curve y=x²-3x²-x+3 and x-axis from x=-1 to x=2. (Note:…

A: To find the area of the region bounded by the curve y=x3-3x2-x+3 and x‐axis from x=-1 to x=2.

Q: Find the area of the region bounded by y = 10x + 4, y = -10x + 3 and x = 14. Leave your answer…

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Q: If we want to find the area between the curves x = −y 2 + 1 and x = y 2 − 1, shall we integrate with…

A: Given curves are x=-y2+1 and x=y2-1

Q: Find the area of the region above the curve y=x²-6, below y=x, and above y=-x.

A: Let's find area of region.

Q: Find the area bounded by the curve y = 4+2x+z² and x-axis from z=-3 to z = -1. Area of the region -

A: Given query is to find the area of the region bounded by y=4+2x+x2  and x-axis from x=-3 to x=-1

Q: Find the area of the loop of the curve y2=x3 (1-x)6. Show complete solution of points of…

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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: The area of the region bounded by y = v9- x² , the x-axis and the line y-x in the first quadrant is:

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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: Solve the area bounded by the curve y=x^2+2 and the line y=-x, x=1 and x=-2. With graph

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Q: estimate the area under the curve y=x^1/2, from x=1 to x=3 using right end point estimate

A: SolutionGiventhe curve y=x,from x=1tox=3 we need to estimate the area  under the curve y=x1/2,from…

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 a triangle bounded by lines y=2x and x=1 by double integration

A: Given region, y=2x        ...(1)x = 1        ...(2) Substitute the value of x = 1 in (1), y = 2 So…

Q: Find the area on the first quadrant bounded by the curve y = 2Vx and the lines y = 1,x = 4 and the…

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Q: Find the area bounded by the curve y=x3. -x2+3x and the line y=x. 16 4

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Q: Find the area of the region bounded by the given curves. Decide whether to integrate with respect to…

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Q: Find the enclosed area by the curve with equation y=x^2-9 and x-axis in the region[-1,2]

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Q: Sketch the region bounded above by the curve 7e- sin(Tx), the x-axis, and x = 1, and find the area…

A: Given,

Q: Find the area bounded by the curve y= 2x-3/x2+4, the coordinate axes and the minimum ordinate. Show…

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Q: Find the area of the region between the curves y = 8 - x2, y = x², x = -3, and x = 3. Area between…

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Q: Find the area of the region enclosed between the curves y= 4 -x^2 and x=3 and x-axis within the…

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Q: Find the area of the region bounded by the parabola y = -x² + 4x - 3 and | its tangent lines at the…

A: We have to find the area of the region.

Q: Find the area of a triangle bounded by lines y=2x and x=1 by single integration

A: A definite integral can be used to compute area bounded by curves. If there are two curves f,g over…

Q: Find the area bounded by the curve y2 = 4x and the line 2x + y = 4.  show full solution

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Q: Find the area of the region which is bounded by y = sin x - 4, y = 4x, y-axis and x = 4. Leave your…

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

Q: Estimate the area of the region under the curve        y = -x3 + 5 and above the x-axis for…

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Q: Find the area bounded by the curve y2 = 4x and the line 2x + y = 4.  Show full complete solution.

A: Given : Curve : y²= 4x              and line  2x+y=4 To find : Area between the curve and line

Q: Sketch the region bounded by the line y -axis. = 2 and the graph of y = sec2 x for −π2 &lt; x &lt;…

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Q: Find the area bounded by the curves y=x4-2x2 and y=-x2+4 at an [-1, 1].

A: The region bounded by the curves y=x4-2x2, y=-x2+4 in [-1,1] is: