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.

3. If $x^5+y^5=33$, then $\left.\dfrac{d^2y}{dx^2}\right|_{x=1}=\underline{\quad(4)\quad}$.