Problem

PART 1: Fill in the blanks.

• Work need not be shown, only answers will be graded.

• 4 points for each blank and 100 points total.

• Each answer need to be clearly labeled on the answer sheet.

• Use of any device with computer algebra system during the exam will result in zero points.

13. Let $\vec{r}(t)=(e^t\cos t,e^t\sin t,e^t),-1\le t\le 1$.

• The length of the curve is $\underline{\quad(17)\quad}$.
• The curvature at the point $t=0$ is $\underline{\quad(18)\quad}$.