Find the area of the surface pf revolution geneeated by revolvinh about y= -2 the arc of the parabola y^2 =12x from x= 0 to x= 3 on the first quadrant.

Q: Find the area bounded by the parabola y2 − 3x + 3 = 0 and the line x = 4. With illustrations please

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Q: Find the area of the surface formed by revolving the graph of f (x) = x2 on the interval [0,√2]…

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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 area of the region bounded by the parabola y = 2x², the tangent line to this parabola at…

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Q: Find the area of the triangular region in the first quadrantvbounded in the left axis by the y axis…

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Q: Find the exact value of the surface area generated by revolving the given curve, about the x-axis. 1…

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

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Q: Find the area of the region bounded by the parabola y = 3x2, the tangent line to the parabola at (3,…

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Q: Find the area of the surface generated by revolving the curve y = sqrt(x2 + 2), 0…

A: find dy/dx and solve for ds.

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: Find the area of the segment of a sphere formed by revolving the graph of y = √25-x2,0 sxs 4, about…

A: Given y=25-x2, 0≤x≤4 A sphere is a geometrical object that is a three-dimensional analogue to a…

Q: 5 Find the lateral (side) surface area of the cone generated by revolving the line segment y = x,…

A: If the curve y = f(x) , a≤x≤b is rotated about x-axis, then the lateral surface area is given by…

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 propeller-shaped region enclosed by the curve x - y3 = 0 and the line x - y =…

A: x-y3=0  &  x-y=0⇒y3=x  &  y=x⇒y=x13  &  y=x Now the diagrammatic representation of the…

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: What is the surface area generated by revolving the parabola y = x squred from x = 0 to x = square…

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Q: Find the area of the surface generated when the given curve is revolved about the given axis. 5 у…

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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: y = 4 – x2 y = 4 – 4x - -5-

A: Definition used -             The area between two curves f(x) and g(x) -…

Q: y = } + sxs1 <x<1 2

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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 surface of revolution generated by revolving about the x-axis the arc y…

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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 of the solid formed by revolving one arch of the parametric curve given…

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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: Solve the area of the surface of the revolution generated by revolving the arc of the curve, x= y³…

A: A detailed solution is given below.

Q: Find the area of the region bounded by the parabola y = 4x2, the tangent line to this parabola at…

A: The equation of the parabola is given by y = 4x2.Differentiate y = 4x2 with respect to x as follows.

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 the area of the region bounded by the parabola y = 2x2, the tangent line to the parabola at (3,…

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

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Q: Find the surface area of the cone frustum generated by revolving the line segment y = 4 1 over 1 < x…

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Q: Find the area of the region bounded by the parabola y = x2, the tangent line to the parabola at the…

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Q: find the area between the two curvesx=2-y^2x=y^4

A: Given thatx = 2-y2         ...(1)x = y4            ...(2)

Q: Find the area of the segment of a sphere formed by revolving the graph of y = V 25 - x2, 0 sx< 4,…

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Q: Find the surface area of the surface of revolution formed by revolving the curve y= 3cosX from X=0…

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Q: Calculate the area of the smaller region (to the left of the parabola) bounded by , the x-axis, and…

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Q: Find the area of the surface obtained by rotating the curve about the x-axis. y= e*, 0sxs1 Set up…

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Q: Find the area of one side of the “winding wall” standing orthogo-nally on the curve y = x2, 0 &lt;=x…

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Q: Find the area of the surface obtained by rotating y = cosh x over [−ln 2, ln 2] around the x-axis.

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Q: Find the area of the region bounded by the parabola y = 4x2, the tangent line to this parabola at…

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Q: Find the area of the segment of a sphere formed by revolving the graph of y = V9 - x2, 0 sxs 2,…

A: We need to find area.

Q: Find the area of the region bounded by the parabola y = 2x², the tangent line to this parabola at…

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Q: Calculate the circumference of a three-quarter circle with the radius r = 3 using a curve integral…

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

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Q: Find the area of the region Cut from the Ist auadrant /2 r= 4(2-Sin 20) by the curve

A: Solve for the area

Q: Find the surface area generated by revolving the parabolic arc y=x² , Osxs6 around y-axis

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