Sketch the plane curve with the given vector equation. (Do this on paper. Your i

Question

Sketch the plane curve with the given vector equation. (Do this on paper. Your instructor may ask you to turn in this sketch.) r(t) = 3 sin (t) i + 5 cos (t) j Find r '(t). r (t) = i + j Sketch the position vector r(t) and the tangent vector r '(t) for t = pi/2. (Do this on paper. Your instructor may ask you to turn in this sketch.) Sketch the plane curve with the given vector equation. (Do this on paper. Your instructor may ask you to turn in this sketch.) r(t) = eti + 5e-tj Find r '(t) = I + j. Sketch the position vector r(t) and the tangent vector r '(t) for t: = 3. (Do this on paper. Your instructor may ask you to turn in this sketch.)

Explanation / Answer

1.(b)     r'(t)= 3cos(t) i +(-5sin(t)) j

2.(b)     r'(t) = eti + (-5e-t) j

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