W2 - bacteria After 10 hours there are 2000 bacteria...

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Math 3B - Castroconde Worksheet 2 (7.4*, 7.5) Name: \::. IL-(s" 1.D.#: 1. Evaluate each expression. a. log1000 = \OJ 10 3 = 3 2. Find the derivative of g(x) = x sinx \V\ 6(")::' 3\V'\(){) \",('i) _1_ ~' ('f..}::: ~s (I<) \'1\)( ..L 1('1<') ~ ) ~ (1-) ::- 3. Find an equation of the tangent line to g(x) = lOX at the point (2, 100). ) ,A/\ -=- tO l \'" i o =- 100 V\ \ 0 hi::: ~ CZ) "\ J (x)::: t 0)( (Y\ .o I \,V\\V(X- 2 \ G- i o 0 -::::.. (oD ) 4. Evaluate each integral. (.. M. (", 2 ~ ~ J,.A \~ y \e f(x 2 +Y)dx b. f4 3X dx Id a. ::: -·M -- 3 :::, 2)( 0 4 l "'~ 0 :::: .!r k c.. J-.A-::3X r k> 1 3> - L Lj - I /' \'1'\ 2 -JJJ.=~)( - 3\ VI t..( 3 5. After 3hours it isobserved that certain bacteria population has grown to 400
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Unformatted text preview: bacteria. After 10 hours there are 2000 bacteria present. If it is known that this type of bacteria grows at a rate proportional to the number of bacteria present at any time, find the time it takes for the population to double in size. '+ ~ 1. k.. £) 312. 7 6(3l ');: Lj'OO z; 0D e. [ok. ( 200(;;)-.e ~ s.-:;: e.. '1 ==) 0(\. .0):::' 2000 :: 6 e. j l..{OD ~ \ Y\ 5 :::1 9(l. . =-') ~(2. ::. t\ V\ $' ::,t ':j \ V'\ 2 ___ ('0 0,0\ \'1\ S...
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