For the paramaterized curve r(t) = < 2/3t^(3/2) , 3t+7, 4t+13>, for 0 <= t <=11, find its arc length.
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Consider the curve r(t)=<4t,3cost,3sint>. Find the length of the curve from t = 0 to t = 2?. Also find the curvature.
Plot the 2-D curve for parametric equation x = 5 sin(t) and y = 3 cos(3t) for 0<t<10
How many times does the curve intersect itself?
Suppose you need to know an equation of the tangent plane atasurface S at the point P(4, 1, 4). You don'thave an equation for S but youknow the following curvesboth lie on S.