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  • Chapter 13 Review Exercises
    https://math.libretexts.org/Courses/Misericordia_University/MTH_226%3A_Calculus_III/Chapter_13%3A_Vector-valued_Functions/Chapter_13_Review_Exercises
    In each let \(f(t)=t^3,\vec{r}(t) = \langle t^2, t-1, 1 \rangle \) and \(\vec{s}(t)=\langle \sin t, e^t, t \rangle \). Find \(\vec{r}(t)\), given that \(\vec{r}''(t)=\langle \cos t, \sin t, e^t \rangl...In each let \(f(t)=t^3,\vec{r}(t) = \langle t^2, t-1, 1 \rangle \) and \(\vec{s}(t)=\langle \sin t, e^t, t \rangle \). Find \(\vec{r}(t)\), given that \(\vec{r}''(t)=\langle \cos t, \sin t, e^t \rangle\), \(\vec{r}'(0) =\langle 0,0,0 \rangle \text{ and }\vec{r}(0)=\langle 0,0,0 \rangle\).
  • Chapter 13 Review Exercises
    https://math.libretexts.org/Courses/Montana_State_University/M273%3A_Multivariable_Calculus/13%3A_Vector-valued_Functions/Chapter_13_Review_Exercises
    In each let \(f(t)=t^3,\vec{r}(t) = \langle t^2, t-1, 1 \rangle \) and \(\vec{s}(t)=\langle \sin t, e^t, t \rangle \). Find \(\vec{r}(t)\), given that \(\vec{r}''(t)=\langle \cos t, \sin t, e^t \rangl...In each let \(f(t)=t^3,\vec{r}(t) = \langle t^2, t-1, 1 \rangle \) and \(\vec{s}(t)=\langle \sin t, e^t, t \rangle \). Find \(\vec{r}(t)\), given that \(\vec{r}''(t)=\langle \cos t, \sin t, e^t \rangle\), \(\vec{r}'(0) =\langle 0,0,0 \rangle \text{ and }\vec{r}(0)=\langle 0,0,0 \rangle\).

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