Find the area of the surface generated by revolving the curve y =,0sx<2, about the x-axis.

Q: 13. Find the area of the surface generated when the curve y = -, on [2,4] is rotated about the…

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

A: y= 21+ sqrt(441−x2) between the points ​(21​,21​) and sqrt(1763)/2,43/2​; about the​ y-axis

Q: Identify the surface for z=r^

A: Given z=r2

Q: Find the area of the surface generated by revolving the curve about they-axis. y=81-x²,05x59 A B…

A: Given :y=81-x20≤x≤9

Q: Find the EXACT area inside the closed loop produced from the following parametric curve. Show ALL…

A: The area is the amount of space occupied by a two-dimensional figure. In other words, it is the…

Q: Find the surface generated when the curve y=((1/4)x^2)-((1/2)lnx), 1< X < 2 is rotated about the…

A: The given curve equation is, y=14x2-12lnx in interval 1&lt;x&lt;2 about the y-axis. Surface about…

Q: Find the area of the surface obtained by rotating the curve y= 1+3 x^2 from x=0 to x = 9 about the…

A: We know that if x=f(y) , a≤y≤b, then the surface area of the solid of revolution about y axis is -…

Q: The area of the surface obtained by rotating the curve y = x2, 0sxs1 about the y-axis is

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Q: Find the slope of the tangent line to the curves cut from the surface z= 3x? +4y? -6 by planes…

A: The solution are next step

Q: The curve y = sqrt(x2 + 1), 0&lt;=x&lt;=sqrt(2), which is part of the upper branch of the hyperbola…

A: Find dy/dx from the given curve using power rule and chain rule.

Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y = 1/3x^3/2,…

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Q: The curve y = sqrt ( 4 - x sq. )  ,-1 &lt; = x &lt; = 1  , is an arc of the circle x sq. +  y sq. =…

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Q: Find the equation of the surface of revolution generated by rotating the parabola y = z^2 around the…

A: A surface of revolution generated by rotating a curve described by y=f(z) around z-axis is given as…