discussion8 - Math 21A Kouba Discussion Sheet 8 1.) You...

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Unformatted text preview: Math 21A Kouba Discussion Sheet 8 1.) You deposit A dollars in a savings account where interest is compounded daily (365 days per year). If your money doubles every seven years, what is the annual interest rate 7' ? 2.) Evaluate the following limits by using one of the three limit definitions for e. a.) lim 0+3)” b.) lim (1—§)n 0) 1”“ (“L—1*)“; n—ioo n n—mo n 71—9—00 5n (1.) lim (M4)”; e.) lim ( n )2" f.) lim (1+3h)2/h n—>oo n n—+—oo 'n, — 5 haO 3.) Solve for m. a.) lnm=3 b.) lnm=ln3 c.) ln(2$+1)—ln(a:+3) =0 d.) ln($ — 1) + ln(w — 2) = 0 e.) ln(x — 2) + ln(:r + 2) — 11113 = ln3 4.) Let = w3lnw. Solve f’(m) = 0 and f”(:r) = 0 for m and set up a Sign chart for each. d 5.) Find 3/ = El—y as simply as possible. Do not simplify your answers. :5 . w~ in 3 - :L' — 2 4 a.) y = ln(5zv+7) b.) y = ln(ln(ln(sm c.) y = 1n +135 $343110 33) d.) y = 33"” e.) y 2 m3 ~ (:1: — 1)5 ~ (23: + 3)7 - (3J3 — 4)9 - (4:1: + 5)11 sinz) f-) y = (2x)””+3 3-) y = my 11.) y = w” 6.) Solve for as. a.) e” : 2 b.) 7- e2H3 : 63—”: c.) (67” +1)(e“‘ — 5) = 0 d.)e2x—4‘e‘”:0 e.) egm—5-6$+6=O d 7. Find 3/ = —y . Do not simplif our answers. dm 3’ y a.) y = 7 ' 65"”‘4 b.) y : em2 -tan(3:r) c.) y ~ 8.) Find all horizontal asymptotes for the function in 7.)c.). 9.) Let f(a:) = m2 . 8—3”. Solve f’(a:) = 0 and f”(a:) = 0 for m and set up a Sign chart for each. +++++++++++++++++++++++++++++++ The following problem is for recreational purposes only. 10.) Find a hidden pattern and determine the next number in the sequence :1 0, 1, 3, 7, 14, 25, 41, 63, . .. ...
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discussion8 - Math 21A Kouba Discussion Sheet 8 1.) You...

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