Curvature and surface equation

Reference no: EM13128303

1. Find the point on the graph of y= e^x at which the curvature is the greatest.

2. Write the equation for the surface generated by revolving the curve x^2 - 2y^2 = 1 about the y-axis. Describe the surface

3. The parabola z = y^2, x =0 is rotated around the z-axis. Write a cylindrical-coordinate equation for the surface.

4. Write the equation of the plane that contains P(1,3,5) and the line L: x=4t, y= 6+5t, z=3-2t.

Reference no: EM13128303

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