Express the length of the curve as a definite integral

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Reference no: EM131004026

Consider the curve with parametric equation:

r(t) = 2 cos ti + 2 sin tj + 3 cos tk, 0 ≤ t ≤ 2Π.

a. Describe the curve in terms of the intersection of two surfaces in space.

b. Sketch the curve, indicating the induced orientation.

c. Express the length of the curve as a definite integral.

d. Obtain a numerical approximation to the value of the integral derived in (c).

Reference no: EM131004026

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