{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

practice2a

# practice2a - 18.02 PRACTICE MIDTERM#2A BJORN POONEN Please...

This preview shows pages 1–7. Sign up to view the full content.

18.02 PRACTICE MIDTERM #2A BJORN POONEN Please turn cell phones off completely and put them away. No books, notes, or electronic devices are permitted during this exam. The exam runs from 1:05pm to 1:55pm (50 minutes). Generally, you must show your work to receive credit. Name: Student ID number: Recitation instructor’s last name: Recitation time (e.g., 10am): (Do not write below this line.) 1 out of 15 2 out of 15 3 out of 20 4 out of 15 5 out of 15 6 out of 20 Total out of 100

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
1) A particle is moving in the plane, and w = w ( x, y ) is a function of the position of the particle. At a particular instant, x = 2, y = 3, dw dt = 6, and dx dt = 8. Given that w (computed with respect to x and y ) at the point (2 , 3) equals 5 , 7 , find dy dt at that same instant.
2) Let P be the point on the curve x 2 - y 3 = 3 . 1 such that P is closest to (2 , 1). Use a gradient to estimate the coordinates of P .

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
3) Given that x, y, t are dependent on u, v , express

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}