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Chapter 9: Q. 2 (page 774)

The calculus of parametric equations: Let x = f(t) and y = g(t), where f and g are differentiable functions.

The arc length of the curve defined by the parametric equations on the interval [a, b] is . ....

Short Answer

Expert verified

The arc length is鈭�abf't2+g't2dt

Step by step solution

01

Step 1. Given information

The functions:

x=f(t)y=g(t)

a鈮�t鈮�b

02

Step 2. Arc length of the curve.

The arc length over given interval is:

l=鈭�abdxdt2+dydt2dt=鈭�abf't2+g't2dt

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