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Worksheet_9_Solutions

# Worksheet_9_Solutions - MATH 110 Worksheet 9 Understand how...

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Unformatted text preview: MATH 110 Worksheet 9 October 22, 2009 Understand how to use rectangles to approximate the area under a curve: 30) C V’Ltl —; 3/7— 53(1): 2/2 ti 3 7, ‘ x31 S117 F 3/2?l 3 5/2 1. Above is the graph ofy = %x + 1. Estimate area (5x + 1, O, 3) using the 3 rectangles pictured. » 3. s’ .. 4r€mZﬁéX+l,O,3)-C¢ le +2.?“ “tag/xi ——Q; Understand the deﬁnition of the natural logarithm and its connection with area: 2. Find a number c such that the area under the graph ofy = i from 1 to c = 2 i ‘ ,_ area, (”‘1 /) C) ’2 ,7 2 area, [V29 1,6) time 50 «em: =2, moé cr-e. 3. Evaluate the following: a. Find a number w such that 1n(3w — 2) = 5 6;: BW’Q W : 9,5762, 6;“? =3w _/ 3 b. Find a numbery such that e‘”’“3 = 5 «6%, 5: 4’ij ”\$45” f3¢¥7 \$493 - 7 ,j 4. Find all of the numbers x that satisfy the given equation. a. ln(x + 5) — ln(x — 1) = 2 j’VL [7‘5— :2_ 2 3’0 5:? oééijWh‘m/L cf JAY) )(w/ .1, XH'” ' “W Salwﬁf X ’60 gbf: 626(4) 1 )(«i'r @ i/e. er—€ZGX+S’ Xﬁ @1Xv-X ;€Z+S" >465! 7‘39”? 2, b ln(12x)_2 x \$91.5: ' ln(sx) _ e9! #ﬂnx - 12 ﬁt /2 \$01 7 Ian]? :WX “g“ §Wx f mam) \ 1mg: ”(2/ny m/Q’w/‘X ”1w“ 2; x» /2«;2&§=/m< 2"? in /2 — In, 5 Z iénx 5. Find a formula for f(g(x)) for the following: I a. f(x) = lnx g(x) = e” ’f’x mm) c we“) : 1m 5 a a b. f(x) = e“ g(x) =lnx 4.9mX X 4 4 f/jm)=ffﬁm<)ﬁe \$6690”) X \l ...
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Worksheet_9_Solutions - MATH 110 Worksheet 9 Understand how...

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