104F09Final

What is the third derivative f 3 x evaluated at x 0 a

Info iconThis preview shows pages 7–12. Sign up to view the full content.

View Full Document Right Arrow Icon
. What is the third derivative, f (3) ( x ), evaluated at x = 0? (a) - 54 (b) - 9 (c) - 3 / 2 (d) 3 / 2 (e) 9 (f) 54 6
Background image of page 7

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

View Full Document Right Arrow Icon
11. What is the radius of convergence of the series X n =0 2 · 5 · 8 ··· (3 n - 1) 3 · 7 · 11 ··· (4 n - 1) ( x + 1) n ? (a) 0 (b) 1 2 (c) 2 3 (d) 3 4 (e) 4 3 (f) 3 2 (g) 2 (h) 12. Compute X n =1 n 3 n - 1 . (a) 9 4 (b) 3 e - 3 (c) 4 3 (d) r 3 2 (e) 2 (f) 2 3 (g) 3 n 2 / 3 7
Background image of page 8
Free answer questions Each of these questions is worth 8 points. Please show all work that you wish to be considered for partial credit and put a box around the final answer to each (part of the) problem. 13. A standard US Mailbox has a cross-section shaped like a square of side S with a semicircle attached. Where is the center of mass of this cross-section? State your answer in coordinates with the origin at the center of the square. S 8
Background image of page 9

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

View Full Document Right Arrow Icon
14. Newton’s Law of Cooling states that the rate at which a body changes tempera- ture is proportional to the difference between its temperature and the tempera- ture of the surrounding medium. Suppose that a body has an initial temperature of 252 F and that after one hour the temperature is 216 F. Assuming that the surrounding air is kept at a constant temperature of 72 F, determine the tem- perature of the body two hours after the starting time, in degrees Fahrenheit. 9
Background image of page 10
15. Solve y 0 = ln( x ) x y with initial condition y (1) = 2. 10
Background image of page 11

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

View Full Document Right Arrow Icon
16. Compute the first three terms of the Maclaurin series for f if the Maclaurin series for f begins 1 + ax + bx 2 + ··· . 11
Background image of page 12
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

Page7 / 12

What is the third derivative f 3 x evaluated at x 0 a 54 b...

This preview shows document pages 7 - 12. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online