3. Consider the curve whose parametric equations are given by r = t2, y = t3. (a) Use the formula for parametric curves to find the arc length from t = 0 to t = 2. (b) By eliminating the parameter t, find the cartesian form of this curve and check your result in (a) 2 dy by using the arc length formula L = dx. dx 4. Find the arc length of the curve y = x – 1)3/2 between r = 1 and r = 4. [Use the formula in 3(b).]

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