{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# Disc3 - Math 17A Kouba Discussion Sheet 3 1 Determine a...

This preview shows pages 1–2. Sign up to view the full content.

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.

Unformatted text preview: Math 17A Kouba Discussion Sheet 3 1.) Determine a formula (starting with n = 0) for each of the following sequences. a.) (1 + 1)2, (1 + 1/2)3, (1 + 1/3)4, (1 + 1/4)5, - .. b.) 0, 1/5, 2/6,3/7,4/8, 5/9, - -- C.) 1,0,1,4,9,16,--- d.) 1, —8, 27, —64, 125, —216, - -- e.) 3, 12, 27,48, 75, 108, - - - f.) 8,10,12,14,16,18,--- g.) 5/2, 25/4, 125/6, 625/8, ~ -- h.) 1/9, 1/3, 1,3,9, 27, ' .. i.)1,5,10,16,23,31,~~ j.) 4,2,1,1/2,1/4,1/8,-~- k.) 0,2,6,12,20,30,~- 1.) 1,—5,9,—13,17,—21,-~ m.) —1,1,—1,1,~1,1,-.- n.) 1,—3,1,-3,1,—3,--- o.) 0,0,0,6,24,60,120,210,--- 2.) Give a careful, step-by~step e/N—proof that a.) lim (0.08)” :0 b.) lim — = 0 n——>oo 71—200 3 + W 3.) Use algebra to evaluate the following limits. _ x2+3m—4 _ 1133+1 , \/x+2—:v a.) hm ——2——— b.) hm 2 . ~—-—————— z—d .‘E —:E m—>—1;E — 1 x—>2 {17—2 . \$6 — 1 . 7T . 371' (1.) 1151311 \$8 _1 e.) a11-1117cos Ex f.) \$133131 tan In: , 32: — 4 , 2 — :c , _ 2:2 —— 16 g') \$135130 32: + 1000 h‘) \$131010 962 + 5 1') \$113010 ac +16 2+2 \$+2 2—1 '. 1' k. 1' 1. 1' Hagar—.3 his—H ham” m m.) lim (\/.1‘ +100 — J27) n.) lim \$~>oo x—>—-oo \$2 + 1 4.) Assume that the weight N (in lbs.) at time t (in years) of a chimpanzee is given by 200 t the growth model N = ﬂ for t 2 0. a.) What is the chimp’s weight at birth ‘? at 1 year ? at 2 years 7 b.) When will the chimp reach a weight of 10 pounds ? 40 pounds 7 c.) What weight can we expect the chimp to reach as t —> oo ? 1 d.) Use a graphing calculator to sketch this growth equation. 5.) Determine all constants A so that the lim f (:13) exists : x—>——1 10(53): 1B2+A, ifsv<—1 32+A2, ifa:_>_—1 6.) Determine if the following function is continuous at L1? = 0 : ln(:r+e), ifx>0 9(113) : 1 , 1f CI) : 0 61+,” , ifa: < 0 7.) What is the maximum number of distinct, non-overlapping parts into which a circle can be divided using 100 (non-parallel) lines ? > l , MN 8.) Consider the Beverton—Holt Growth Recursion given by Nt+l = t 30+Nt Wlth N0 = 5. a.) Find all ﬁxed points for this recursion. b.) Identify the growth parameter R and the carrying capacity K. c.) Plot the linear graph of the parent / offspring ratio Nt/Nt+1 vs. the amount Ni. (1.) Use the recursion to determine the values of N: for t z 0, 1, 2, 3, - - - , 10. e.) Plot the values you found in part d.). ++++++++++++++++++++++++++++++++++++++++++++ The following problem is for recreational purposes only. 8.) Without lifting your pencil, join all 16 dots with 6 straight lines. ...
View Full Document

{[ snackBarMessage ]}

### Page1 / 2

Disc3 - Math 17A Kouba Discussion Sheet 3 1 Determine a...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online