Find the area of the surface generated by revolving the curve y = sqrt 2x-x^2, 0.25 less than or equal to x less than or equal to1.5

Q: Find the area of the region bounded by the parabola y=5x^2, the tangent line to the parabola is at…

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Q: Find the surface area of revolution about the x-axis of y=3sin(5x)y=3sin(5x) over the interval…

A: I am attaching image so that you understand each and every step.

Q: Find the area of the surface formed by revolving the graph of y = 2e−x on the interval [0, ∞) about…

A: Consider The infinite curve

Q: Find the area of the surface generated by revolving the curve on the indicated interval about the…

A: answer is mentioned below

Q: Find the area of the surface formed by revolving the graph of f(x) = + 2x on the interval [1,2]…

A: We will solve the following.

Q: Find the area of the surface obtained by rotating the curve y=4x3 from x=0 to x=2 about the x-axis.…

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Q: Find the area of the curve bounded by the curves y=x* and y=3x+4.

A: We have to find th: e area of the curve bounded by the curves y=x4 and y=3x2+4.…

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

A: The surface area of revolution of y=fx over a,b revolved about x-axis is A=2π∫abfxdfdx2+1dx Now, we…

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: Find the surface area of revolution about the x- axis of y = 3 sin(5x) over the interval Preview

A: Given curve is y=3in(5x), firstly, we will find dy/dx

Q: Sketch the region enclosed by the curves and find its area. 1 y = 4x2 ,y = 4 x, x = -andx = 1 Enter…

A: So, the area will be                    Area=∫1414x-4x2dx       =∫1414xdx-∫1414x2dx       =73-2116…

Q: Find the surface area of revolution generated by revolving the curve y= (3x)5 over about the y…

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Q: Find the area of the surface generated by revolving the curve about the indicated axis. 1) y = √4x -…

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Q: Sketch the region enclosed by the curves and find its area. 1 y = 9x² ,y = 9 Vx,x = - and x = 1…

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Q: Find the area of the surface formed by revolving the graph of y = 2√x on the interval [0, 9] about…

A: given that f(x)=2x . we need to find the area of the surface formed by revolving the graph y=2x on…

Q: Find the area of the surface generated by revolving the curve y /2x-x, 0.25 sxs1.5, about the…

A: Use surface area formula about x asis

Q: Determine the area of the triangle bounded by the coordinate axes and the tangent to x² - y = 0 at x…

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Q: Sketch the region enclosed by the curves and find its area. 1 y = 6x² ,y = 6/x, x =-andx = 1 Enter…

A: The region enclosed by the curves,y=6x2, y=6x, x=14, x=1

Q: Find the approximate surface area of a sphere of radius 3.02 in. (Use differentials)

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Q: Find the area of the region bounded by the curves y = 1 (x+6)²¹ į, y = = 4 and the x-axis using…

A: Explanation of the answer is as follows

Q: Find the area of the surface formed by revolving the graph of f (x) = x³ on the interval [0,1]…

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Q: Find the area of the surface formed by revolving the graph y=x on the interval [0,3] about x-axis.

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Q: Find the area of the surface generated by revolving the curve y = 2x -x² , 0.25 sxs0.75, about the…

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Q: Find the surface area generated by revolving y=7x+6 about the x axis on the interval [0,6]

A: We need to find the surface area generated by revolving y=7x+6 about the x axis on the interval…

Q: Find the area of the surface generated by revolving the curve about the indicated axis. 36) y=V4x -…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the area of the surface generated by revolving the region bounded by, 1 1sx55 8x2 about the y-…

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Q: Find the area of the surface generated by revolving the curve about the indicated axis.   y = x 2/4…

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Q: Find the exact area of surface obtained by rotating the curve about the x-axis. y=sqrt(5-x)    3<…

A: Given curve is y=5-xdydx=-125-x Now, area of the surface obtained by revolving y=f(x) from x=a to…

Q: Find the area of the surface oblalned by rotating tne curve y = V4x x = 0 to x = 3 about the x-axis.…

A: Below is the solution:-

Q: Find

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Q: Find the surface area of revolution about the x-axis of y=3sin(7x) over the interval 0≤x≤π

A: To find the surface area of revolution about the x-axis of y=3sin(7x) over the interval 0≤x≤π.

Q: Find the Area of the Surface obtained by rotating the curve about the x-axis y = cosh x, 0≤x≤1

A:

Q: Find the area of the region bounded by the curve y=1--x² and the x-axis. 6 square units O 4 square…

A: Given; y=1-19x2, y=0 (x-axis)   From the given curves the bounded region is as shown below; Now…

Q: Two curves having an equation of 2y² and y = 2x² x = intersect each other. Compute the area between…

A: A detailed solution is given below.

Q: find surface of patin Jenerated yースニュ0cx」 area revalving eurve 2. about メ~axis.

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Q: Sketch the region enclosed by the given curves and calculate its area. y=4-x to the power of 2, y=0

A: The given equation is

Q: Find the area of the surface formed by revolving the graph off (x) = 2 + x on the interval 3 <y<4…

A: The solution are next step

Q: Find the distance of the centerof gravity of the area on the first quadrant region bounded by the…

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Q: Find the volume of the solid generated when the area bounded by the curve y^2=x, x-axis and the line…

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Q: Compute the surface area of revolution of y=sinx about the x-axis over the interval [0,π].

A: Given data: The expression for the given function is y=sinx. The given interval of x is [a,b]=[0,…

Q: Find the volume generated by revolving about the line x=0 the area under the arch of the sine curvey…

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Q: Find the surface area of revolution about the x-axis of y = 2 sin(2x) over the interval 0 ≤ x ≤ KIN

A: When a cut= when a curve y=f(x)  a≤x≤b  rotate about x axis then surface area of rotation Ax=∫ab2πy…

Q: Find the exact area of surface obtained by rotating the curve about the x-axis. y=sqrt5-x   3< x <…

A: consider the equation

Q: Find the area of the surface formed by revolving the graph of y = Vx + 2 on the interval [1,8] about…

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Q: : Determine the area enclosed between the curves y = x² + 1 and y = 7 - x

A: Area between two curves y=f(x) and y=g(x) between x=a and x=b is A=∫abf(x)-g(x)dx

Q: Determine the radius of gyration of the area into the first quadrant bounded by the line y=0, x=3…

A: Solution:-

Q: Find the area of the surface generated by revolving the region bounded by, 1sx55 8x2 about the y -…

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Q: Find the area of the segment cut off from the curve y = sinx, 0≤x≤nt by the line y = 1/√2. HT 1/2 y…

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Q: Find the area of the surface that is generated by revolving the curve y= V16 – x² on the interval…

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Q: Find the area of the surface formed by revolving the graph of y = 2Vx on the interval [0, 14] about…

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