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The following foreign exchange rates were printed in the newspaper, where
1; denotes US dollars, J denotes Jodanian diners, and M denotes German mark . _d.l_ = 9.11.! __CLM_ = 1.03M. d$ 1$ d$ 1$ Compute the following ratios and express them in "propeyform. Z)
a) d$/dJ = EH 7 ’ 6/00 b) dM/dJ c) dJ/dM ll d) Write out the correct equation (e.g. y = mx) for changing marks to
dinars,i.e., the equation for how many dinars you get for so many marks. \ Consider the function f(x) = (x  2)(x2  x  2) + 1 on the interval [0, 5].
Find the coordinates (x, f(x)) of the point where fog) assumes (\l ’ my,“ “H. 2 [f a) its maximumon [0, 5], \_' ’l' ti; * l ,1“ All y ) l O (Q .,
b) its minimum on [06 M's limits u
I “' ‘\.
 hi 4,. For each function f(><), calculate f’(x) and f "(x) and simplify. Then, for
each number x = a, calculate f(a), f’(a), and f "(a), l.e., the three fan‘s.
Finally, graph the point (a,f(a)), the tangent line at (a,f(a)), and the
graph of f(x) (from the three facts).
3. f(x) = e(2>< — 4) and a = (2). 4
, a} 2X"
5?}: e2“ “.2 X? ‘ Q '2 r m l:'”¥.?'i)"l) 1(2)” Eéi . A, L @
a) . W . = Z , 7‘: f(x)=x4—4x2+2x and azl. ’2 .
$1ﬁ4x3_ gm: \ZX axe) 5. Elasticity of Demand. A video club has estimated that the demand equation
for the rental of tapes is given by 45; ab: r(p) = 104/40 «p12 .. 3419):. l0'(‘I'0"1°)J where p is the price, $0 < p < $6.25, and %_is rentals per week.
Currenth the rental Price is $2. ‘ Q m: 40' (z
1. f(2) = .1: 3— (2). 5. Is the demand elastic, unitary, pr inelastic at this price? amt(Md 6. If the rental price is increased by 4. 51, what will probany be the Change in the number of rentals 1E'er week? “
“EN 09 ...
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This test prep was uploaded on 02/15/2008 for the course MATH 120 taught by Professor Staff during the Fall '06 term at UCSD.
 Fall '06
 staff
 Math

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