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Each of the following curves lies on a surface S in R^3. Find the rectangular equations of S and describe it. (using all of the

Each of the following curves lies on a surface S in R^3. Find the rectangular equations of S and describe it. (using all of the attributes)

a/ (t) = [e^3t cos(4t), e^3t sin(4t), e^6t - 10], t R & C = trace()

b/ (t) = [cosh(2t) cos(3t), sinh(2t)cos(3t), sin(3t)], t R & C = trace()

c/ (t) = [4cos(3t) sin(5t), 4sin(3t) sin(5t), 4cos(5t)],t R & C = trace()

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