wksht8 - ESP Kouba Worksheet 8 1.) The rate at which the...

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Unformatted text preview: ESP Kouba Worksheet 8 1.) The rate at which the amount of money in your savings account increases is proportional to the amount of money present. If you initially deposit $750 (with no deposits thereafter), and after one year the amount of money has increased by 12%, how much money will be in your account after 20 years ? 2.) The amount of money in your savings account increases by 12% each year. If you initially deposit $750 (with no deposits thereafter), how much money will be in your account after 20 years ? 3.) Use differentials to estimate each of the following. xi? 1+6? a.) f(1.0‘l)-f(1),where f(x) = b.) 90/? - 1/10) — gbfi), where 3(x) = sin(x2) X 1/3 c.) h(7.99),where h(x) = 1 + X d.) (33) 1’5 X4 4.) Let G(x) = lo arctan(t“4) dt. a.) Compute G'(x). b.) Give a good estimate for each of the following. i. G(1.01)-G(1) ii. G(1.98) -G(2) iii. G(x/Z’T +1/1oo)-G(\/§) 5.) Integrate. S 3 eXM va Hre,>< leexw 3 X19,sz S 3 WM‘ MW WM b.) d-) f.) h.) L) I.) y.) 3Q+MG)1 z.) 8 WMJ‘WEW» M .115? 6.) Assume that f" is continuous, f(0)=f(1), and f'(1) =3. Evaluate L fo"(x) dx. 0 7.) Find all functions f(x) satisfying each of the following equations. a.) f'(x)= x[f(x)]4 X b.) f(x) = 3 I m) dt. 0 ...
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This note was uploaded on 12/01/2010 for the course MAT 21B MAT 21B taught by Professor Mat21b during the Winter '07 term at UC Davis.

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wksht8 - ESP Kouba Worksheet 8 1.) The rate at which the...

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