Find the area of the surface obtained by rotating the curve y= 1+3 x^2 from x=0 to x = 9 about the y-axis.

Q: Find the equation of the tangent plane to the surface determined by x^3y^2+z−35=0 where x=3 and y=5.

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Q: The area of the surface obtained by rotating the curve y = 22 x + 1, 0 < x < 44 about the x-axis is

A: Consider the given curve. y=22x+1 in the interval 0≤x≤44 The problem requires to find the area of…

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

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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: find the area of the surface obtained by rotating the curve along the x-axis

A: Surface area along x-axis

Q: Find the area of the surface obtained by rotating the curve y = x about y-axis for 1< y< 3.

A: We have to find surface area

Q: Find the area of the surface obtained by rotating the curve y = √5x from x = 0 to = 4 about the…

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Q: Determine the surface of revolution if the arc y^3 + y = x^2 + 6x on the interval [−5, −1] is…

A: The curve will appear like this

Q: Calculate the geodesic curve of the surface x^2 +y^2 -z=0

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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…

Q: What is the shortest distance from the surface xy+3x+z^2=12 to the origin?

A: Let (x ,y, z) any point on surface. We have to minimize function f(x,y,z) = x2 + y2 + z2 under…