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(b) The vertical asymptote at x = 100 means that as we try to remove 100% of the ﬁsh from
the pond, the cost increases without bound; i.e., it’s impossible to remove all of the ﬁsh.
(c) For $40000 you could remove about 95.76% of the ﬁsh.
6. (a) T = kV
(b) 10 f= k
(d) P 2 = ka3
(c) d = (e) 11 (f) 12 D = kρν 2 .
as f = √ we see that the frequency f varies directly with the
7. Rewriting f =
square root of the tension and varies inversely with the length and the square root of the
8. (a) B = 10 kW
h2 (b) 13 k = 702.68 (c) B = 703W
h2 The character λ is the lower case Greek letter ‘lambda.’
Note: The characters ρ and ν are the lower case Greek letters ‘rho’ and ‘nu,’ respectively.
Note the similarity to this formula and Newton’s Law of Universal Gravitation as discussed in Example 5.
The CDC uses 703.
11 Chapter 5 Further Topics in Functions
5.1 Function Composition Before we embark upon any further adventure...
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