{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

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

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

View Full Document Right Arrow Icon
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
Background image of page 1

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

View Full Document Right Arrow Icon
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.
Background image of page 2
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 .
Background image of page 3

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

View Full Document Right Arrow Icon
3) Given that x, y, t are dependent on u, v , express
Background image of page 4
Background image of page 5

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

View Full Document Right Arrow Icon
Background image of page 6
Background image of page 7
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}