(a) A sinusoidal curve on the x-z plane is given by P(u) = [u, 0, a...

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(a) A sinusoidal curve on the x-z plane is given by P(u) = [u, 0, a sin u] Osus8rt. Write the equation of surface obtained by extruding this curve along y-axis by 20 units. Find the mid-point of the surface (b) A circle of radius 5 units with center at (20,20) is defined in xy-plane. This curve is rotated about y-axis by 360°. Write the equation of resultant surface. [8M] (a) A sinusoidal curve on the x-z plane is given by P(u) = [u, 0, a sin u] Osus8rt. Write the equation of surface obtained by extruding this curve along y-axis by 20 units. Find the mid-point of the surface (b) A circle of radius 5 units with center at (20,20) is defined in xy-plane. This curve is rotated about y-axis by 360°. Write the equation of resultant surface. [8M]

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Solution a The given sinusoidal curve in the xz plane is given by Puu0a sin u To extrude this curve ... View the full answer