Goral Find the exact surface area S obtained by rotating the curve y = v = /5-x, 3

Q: Sketch the region enclosed by the curves and find its area. y = 2r ,y = 2VA.x = and.x = 1 Enter the…

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Q: Find the area of the surface generated by revolving the given curve about the x-axis. y = V4 – x, –1…

A: y=4-x2,  -1≤x≤1 Differentiating with respect to x, we get dydx=124-x20-2x=-x4-x2

Q: Sketch the region enclosed by the curves y = x| and y = x2 2. Decide whether to integrate with…

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Q: Find the area of the surface generated by revolving the given curve about the x-axis. y = V16 – x²,…

A: The given curve is y=16-x2,   -1≤x≤1. This implies that, dydx=ddx16-x2dydx=1216-x2…

Q: bonded by 3X - 1by• 14 Let R be the curve , + 18 : 0 and area x* - + 80 *write a de finite integral…

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Q: Find surface area by revolving curve y=x^3 / 18 , 0 <= x <= 2(sqrt(2)) about the x-axis.

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Q: tan y What is the area bounded by the curve x = = ? and the y-axis from y to y 6.

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Q: Find the area of the surface generated by revolving x=√(8y-y2) on the interval 2≤y≤5 about the…

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Q: With y > x > 0, find the area of the region between the y: curve, x = 0 and x = y lines %3D with a…

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: In x 1 <x < 4 5. у %3 4

A: We will solve the following

Q: Estimate the area of the surface generated by revolving the curve y cos(2æ), 0 < a < about the…

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Q: Sketch the region enclosed by the curves and find its area. y = e", y= e2", x = 0, x = ln 4 %3D

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Q: find the center of mass of a thin plate of constantdensity d covering the given region. The region…

A: Since for sec2x , M is undefined

Q: The surface area of the surface generated by revolving y =x³ , 0<x<1 about the x- axis is Sz0.4296…

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Q: Using integration, find the exact area of the surface formed by revolving y=5x+3 on the interval [0,…

A: To find The exact area of the surface formed by revolving y=5x+3 on [0,6] about the X-axis

Q: Find the area of the surface obtained by rotatin the curve y = Va about the y - axis for 64 < x <…

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect tox or y.…

A: Topic: integration

Q: find the center of mass of a thin plate of constantdensity d covering the given region. The region…

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Q: An area R is limited by y = x3 + 1, the line y = 0 and between x = 0 and x = 2, calculate the volume…

A: Volume  can be defined as below:

Q: Find the area of the region between the curves y = æ and y = Va. Area between curves

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Q: Sketch the region enclosed by the curves and find its area. 3 x = 0, y = 1, y = e3 NOTE: Enter the…

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Q: A projectile fired downward from a height of 112 ft reaches the ground 2 seconds. What is the…

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Q: Find Volume of the bowl that result from revolving graph of the function around the y axis

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Q: Find the surface area generated by revolving about the x-axis the curve y = 2(15-x)^1/2, from x =…

A: Follow the procedure given below.

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: We have to find the area of this region

Q: 3. Find the area bounded by a curve y? = 6x + 36 and the y - axis 4. Find. the area bounded by y =…

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Q: Determine the surface area generated by revolving the curve y =x'over the interval 3 [0, 2], about…

A: Given that, Curve y=13x3 over the interval [0,2]   We have to Determine the Surface Area generated…

Q: uestion 5 Sketch and calculate the area enclosed by the curves x + y = 4, x – y = 0, and y + 3x = 4.

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Q: Master It Find the area enclosed by the curve x = 2 - 3t, y = Vt and the y-axis. %3D

A: Given problem:- Find the area enclosed by the curve x = =t² - 3t, y = √t and the y-axis.

Q: 8. Use Green's Theorem to find the area of the region enclosed by one arch of the cycloid: x = t -…

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Q: plane to the area given by the implicit equation at point A=[7, −1, 7]. F(x,y,z) = exy+z…

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Q: Sketch the region that lies between the curves y = cos x and  y = sin 2x and between x = 0  and x =…

A: Sketch the graph of the given equation as shown below.

Q: Find the area of the surface generated by revolving the given curve about the x-axis. y = x, 0 < x <…

A: Given: y=x, 0≤x≤2, curve about the x-axis

Q: Curve x=0 and X=y alculate the area of the region between that es by drawing the shape with definite…

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Q: x = 0, y= 1, y = e4 %3D x =-,

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Q: Set up an integral for the area of the surface generated by revolving the curve x = sin y, 0sys,…

A: Consider the given: x=sinyLimits 0≤y≤π3dxdy=cosx

Q: Find the surface area of revolution about the x-axis of y = 3 sin(2x) over the interval 0 < - %3D…

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Q: A flat circular plate has the shape of the region x +y s1. The plate, including the boundary where x…

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Q: find the center of mass of a thin plate of constantdensity d covering the given region. The region…

A: Consider the graph of the function given in the question: Here we have: The formulae that will…

Q: Use a graph to give a rough estimate of the area of the region that lies beneath the given curve.…

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Q: Find the moment of inertia of the area bounded by the curve y^2 = 4x, the line x = 1, the x-axis on…

A: Given: The area bounded by the curve y2=4x, the line x=1, the x-axis on the first quadrant with…

Q: 3. Use Green's Theorem to find the area of the region enclosed by one arch of the cycloid x = t -…

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Q: . Find the total surface area generated by revolving the region enclosed by the curves y=x³ and y=x…

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Q: Find surface area by revolving curve x=y^3 / 2 , 0<= y <= 1 about the y-axis

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Q: The area enclosed by the graphs of y = 1/x, y = 1, and x = 3 is rotated about the line y = -1. Find…

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Q: Find the area of the region bounded below by the x-axis and above by the curve x = 4sin (0), y = 2…

A: Given that, The region is bounded by the x-axis and above by the curves, Also, By using the…

Q: Estimate the area of the surface generated by revolving the curve y = cos(2x), 0 < x <ī the X-axis.…

A: Given,                 y=cos(2x),     0≤x≤π4    about the x-axis

Q: Sketch the region enclosed by the curves and find its area. 3 I = -, x = 0, y = 1, y = e3 y' NOTE:…

A: The given curves are: x=3yx=0y=1y=e3  To find the area of the region bounded by the curve.

Q: Estimate the area of the surface generated by revolving the curve y = cos(2x), 0 < x < about the…

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