MAT2740 Test 2

Find \overrightarrow{K} if y=x^5

\overrightarrow{B}⊥\overrightarrow{N}

\int_{ }^{ }-\sin xdx=?

Using the previous info, find \overrightarrow{a}

\overrightarrow{T}⊥\overrightarrow{N}

a_T is a scalar

Find the arc length of \overrightarrow{r}=<1,2t^2,t^2> over \left[0,2\right]

Given \overrightarrow{r}\left(t\right)=2\cos t\overrightarrow{i}+2\sin t\overrightarrow{j}, then z=0\overrightarrow{k}

a_N is a vector

What is the domain of \overrightarrow{r}\left(t\right)=<3t^3,\sqrt{t+8},\ln\left(t^3\right)>?

What is the vector equation for the line segment joining P (3, 3, 4) and Q (4, -4, -3)?

Test your reflexes.... this is a visual representation of what?

Given \overrightarrow{r}=t^4\overrightarrow{i}+2\sin t\overrightarrow{j}+\cos\left(2t\right)\overrightarrow{k}

Given \overrightarrow{r}\left(t\right)=<2e^{-t},t^3,\cos t>

Find \lim_{t\to0}<1,\cos t,\sin^2t>

Given \overrightarrow{r}\left(t\right)=<2\cos t,2\sin t,t>, then z=\overrightarrow{k}

Using the previous info, find the speed when t=0

Given \overrightarrow{r}\left(t\right)=t^2\overrightarrow{i}+4t\overrightarrow{j}+6\overrightarrow{k}

If \overrightarrow{r}=<0,t^3,t^2>, find \overrightarrow{K} when t=1

This is a double helix