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Unformatted text preview: − (R − h) 2hR − h2 . dV
dh
= 2L h(2R − h) . Note that h = h(t) here.
dt
dt
(c) Suppose that R = 1.5 m and L = 10 m and that the tank is
ﬁlled at a constant rate of 0.6 m3 /min. How fast is the height h
increasing when h = 0.5m? Give an exact value only. (b) Show that 2. Linear Approximation: Suppose that the only information we have
about a function f is that f (2) = 5 and the graph of its derivative is
shown below.
(a) Use linear approximation to estimate f (1.9) and f (2.1).
(b) Are your estimates in part (a) too large or too small? Explain. Extra Practice Questions
• Section 3.9: # 7, 17, 21, 29
• Section 3.10: # 1, 9, 17, 29, 33, 41
• Section 3.11: # 1, 7, 17, 23ei, 31, 39, 49
• Section 4.1: # 7, 15, 19, 25, 29, 31, 35, 43...
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 Fall '08
 MOHOLLUND
 Math, Calculus

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