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Unformatted text preview: Math 1 6A
Kouba
Worksheet 3 l. Solve fore, O S e < 211. a. tane=l b. cote=\/3
c. tan 39: l/\/3 d. sinecos 29:0
e. 4sinecose=l f. sinZGi/zsine=1/Z 2. Evaluate each of the following without using a calculator.
a. sin 22.5 0 cos 22.5 0 b. sin 2 11/8
c. coszn/lZ d. sinlSO
e. cos 15 0 A parallelepiped (See below.) is a three—dimensional figure formed by
three sets of parallel faces. It is uniquely determined by any three edges
E1, E2, and E3 which share a common point and have lengths a, b, and c,
resp. It can be shown that the volume of such a parallelepiped is given by
(*) V=abc sing sing,
where e, O S e < n, is the angle formed by edges E2 and E3, andﬂ, 0 5% < Ti,
is the angle formed by E and the flat plane containing E2 and E3. r) J. Find the volume of the parallelepiped with the following measurements.
a. a=3,b=4,c=5,e=n/2,p’=n/2
b. a=3,b=4,c=5,e=n/4,2{=5n/6
c a: .5,b=2. ,c=3.2,e=3n/4,;zl=n/3 4. Derive formula (*). 2. The following chart represents the weight W (lbs) of a newborn baby as a function
of time t (months). \A/ (lbs) a. What is the baby’s weight at birth ? after 3 months ? after 1 year ? b. What is an estimate of the baby’s growth rate (lbs/month) at birth ? after 3
months ? after 1 year ? c. When is the baby growing at the fastest rate during its ﬁrst year of life and what is
an estimate for this rate ? ...
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 Spring '10
 Kouba
 Calculus

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