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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.
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
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.
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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.
- Winter '07