How do you define and calculate the area of the surface swept out by revolving the graph of a smooth function y = ƒ(x), a<=x<= b, about the x-axis? Give an example

Q: Find the area bounded by the following curves. y=8-x, y 8x-x, x=0, x=2 The area is

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Q: II. Find the area bounded by the curve y = x3 - 3x and the x-axis. Sketch the curve indicating the…

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Q: Find the area of the given region. Use a graphing utility to verify your result.

A: the given graph of the function y=4ex1+e2x is: we have to find the area of the given region.  we…

Q: Find the area of yellow region, which is enclosed by the two curves. y A x=y²- 4y (-3, 3) x= 2y- y?…

A: Find the area

Q: Find the area of the given region. Use a graphing utility to verify your result.

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Q: Find the area(area can’t be negative)of the region enclosed by the curve y=xsinx and the x-axis for…

A: Given function - y = f(x) = x sinx The area enclosed by the function f(x) is given by the…

Q: Il From x -3 to x 1, sketch and find the area of the region bounded by the curve x = F/y+ 4 and x =…

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Q: Find the area between the curves y = e Area - 0.7x and y = 1.3x + 1 from x=0 to x=2

A: The area between the curves y=e-0.7x and y=1.3x+1 on interval 0, 2.

Q: area bounded by curve y² 4x, y = x. and x = 1 rotated about the x-axis.

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Q: fu)=* fina the area under the Curve y=fCx) From x=3 +6 x= 9,

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Q: Graph of the function y = cos 2x What is the area of the region bounded by the x = 15°, x = 45°…

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Q: 2. An area is bounded by the curve y = 8/(x² + 4), the x-axis, and the lines x + 2 = 0 and x-2 = 0.…

A: Given, The curve bounded by y =  8/(x2+4) and x axis (y=0) And lines x+2=0 and x-2=0 x= -2 and x=2

Q: Find the area between the curves x = y-1 and x =

A: Given:- x=y2 -1, x =2y2 -2 To find:- Area between given curves

Q: Find the area of the surface formed by revolving the graph of f(x) on the interval [0,1] about the…

A: The solution are next step

Q: hat is the area of the region bounded by the line x = 4 and the curve x³ = x² + 2xy - y² = 0. ht:…

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Q: Find the area of the region enclased by y and y2. Find the area of the reglon between the curve yS6…

A: The integration of a small area element within appropriate limits of the variable will give the…

Q: The boundaries of the shaded region in the figure are the 4 y-axis, the line y = 1, and the curve y…

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Q: Area bounded by the curves y = x² + 2, y = -x, x = 0 and x = 1 is 17 a) 6 b) 1 200406 17 2 19 6 13 6…

A: Find the area bounded by the curves y=x2 +2, y=-x, x=0 and x=1.

Q: 2. Find the area of the region R enclosed by the curves given by the graphs of f(x) = v3x, g(x): =…

A: Area between curves

Q: Finding the area the between the curves y = x² – 1 and y = 1- x*.

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Q: Find the area bounded between curves (Show the figure with the rectangular strip used) x2 = y+4…

A: Area between two curves is found by taking a small strip of the intersection part and if that strip…

Q: Determine the area bounded by the parabola y = x² - 4x and the curve y = x³ - 6x² + 8x.

A: The given curves are: y=x2-4xy=x3-6x2+8x

Q: II. Find the area bounded by the curve y = x3 - 12 x and the x-axis. Sketch the curve indicating the…

A: Given curve is y=x3-12x

Q: Find the area of the region bounded by the curve y=1- x? and the x-axis. 9. 8 square units 6 square…

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Q: Current Attempt in Progress Sketch the largest region on which the function f(x, y) = V- y is…

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Q: Find the area (in square units) of the region enclosed by the curves y = x3 - 4x2 + 3x and the…

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Q: the area of the region bounded by the curve y=e^2x the x axis the y axis and the line x=2

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Q: Find the area of the region bounded by the curve y=x²-1 and the line y = 24! The area is

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Q: The boundaries of the shaded region are the y-axis, the Vx. Find the area of this line y 1, and the…

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Q: Find the area of the region grapa) enclosed by the curves y= x* - 2 ( show y =2

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Q: Find the area of the region bounded by the curve y=1–÷x² and the x-axis. 9 A 4 square units (B 6…

A: SOLUTION-

Q: volume of the solid generated by the curve e-", between x = 3 and x = 8 about the axis is

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Q: II. Find the area bounded by the curve y = x3 - 4x and the x-axis. Sketch the curve indicating the…

A: Area bounded by a curve f(x) and x axis between the points x=a to x=b is, A=∫abf(x)dx

Q: etermine the area of the region that is bounded by y = 15 + 5x– 2x² and y = x-1.

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Q: Esimate the area under a curve

A: The area under a curve is the area between a curve fx and the x-axis on an interval a, b given…

Q: The area enclosed by the curves y = x and y = 3x – x² %3D |

A: First find the region bounded by the curves and set limits of integral

Q: etermine the area bounded by the curves f(z) = 1² – 18x + 36 and g() = -9x + 18.

A: This question is based on application of Integration.

Q: 2. Find the area bounded by curves: a. x = 1 - y² and y = -x - 1. b. x = 0 and x = 25 - y²

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Q: (CLO-3) Find the area between the curves y=12-x2 and y=x²-6-

A: We have to find the area between the curves.

Q: Find the area between the curve y = 2x² + 4x-6 and the x-axis from x = -2 to x= 3. %3D %3D %3D

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Q: 3. Using basic geometric shapes, how can you make an approximation of the net area beneath the…

A: Note: We shall answer the first question only as the exact one is not specified. Please resubmit the…

Q: sketch the region below the curve y = 6x – x² and above the x-axis and find its rea. 3 rea =

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Q: Use a graphing utility to locate the points of intersection of y = e −x and y = 1 − x2 and find the…

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Q: The area of the region completely bounded by the curve y = the x-axis, and the line containing the…

A: The value of variable a such that area between the curve is 23/6.

Q: e area of the region bounded by the positive x-axis, y-axis, the line x = 6 :

A: We have to find out the area of the region bounded by the given curves.

Q: Example 2: Find the area of the region bounded by the curves y=sinx, y-cosx, x-0, and x=2.

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Q: Find the area of the region bounded by the curve y = 3x -1 and the line y = 74. The area is .

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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: An area is enclosed by the curve y = 2x + x^2 - x^3 and the x - axis. Find %3D the area below the…

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Q: A. Find the area of the region between the curves y = x and y = v4 -x.

A: Area of integration problem....