Steps for

Write your solution on lined paper. Do not type your answer.

Then scan your paper to PDF format using a scanner app on your phone or a separate scanner. Alternatively, you can also take a picture of your answer. Make sure your answer is readable and NOT in the sideway or upside orientation.

Finally, upload the PDF scan$/$ picture to Gradescope here.

Question: Consider the following parametric equations

$x=t^3-3t,y=t^3-3t^2$

Use this to answer the following parts:

Q$4\mathrm{.}1$

$1\mathrm{.}5$ Points

Find the point $P(x,y)$ that corresponds to $t=-1.$ Show your work.

Please select file$($s$)$

Q$4\mathrm{.}2$

$4$ Points

Find an equation of the line tangent to the graph of $C$ at the point corresponds to $t=-1?$ Write the equation in the slope intercept form.

Show your work

Please select file$($s$)$

Q$4\mathrm{.}3$

$3\mathrm{.}5$ Points

Find the points on the curve where the tangent is vertical. Show your work.

Please select file$($s$)$