Calculus 1A: Homework Assignments. Notes and Hints.
Revised 1/19/09
Spring 2009, TT 3:30pm  5:00pm, Room 105 Stanley Hall
Instructor: Professor Zvezdelina Stankova
HW11. Read
§
4.7 (ﬁnish “Application to Business and Economics”),
§
4.8, and
§
4.9. Solve
and Write Problems:
(1)
§
4.7: #52,54,56,58,62.
(2)
§
4.8: #2,4,6,8,12,16,20,34,36,38. #36: ﬁnd
f
0
(
x
)
and set it to equal 0 in order to ﬁnd the critical points
of
f
(
x
)
. Use Newton’s method to estimate the root
r
of
f
0
(
x
)
. Check what is going on with
f
00
(
x
)
to
show that
f
(
r
)
is indeed a local (and global) maximum (as opposed to minimum). Then plug in your
estimate for
r
in
f
(
x
)
to ﬁnd this global maximum.
(3)
§
4.9: #4,6,10,12,16,18,20*,22,26,32,34,40,44,46,48,50,62,66,74,76.
(a) #612: rewrite the powers of
x
in the usual form
x
n
to make it easy for integration: this applies
both to ”roots” and to fractions. In #12 and #20: do
not
use any ”quotient rule” for integration
 there is
no
such rule! Instead, split the fraction into a sum of several fractions and integrate each
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 Fall '09
 Stankova
 Calculus, Velocity, initial velocity, Professor Zvezdelina Stankova, usual form xn

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