Name:
Calculus 11, Math 152, Quiz #7, Form B
2
n — 7
converges or diverges, and justify
00
1. [7 points] Determine whether the series 2 n24"
your answer. a. "=3 (
oft \ n ‘
1,4 'A —v- r_.
a f‘ 4/ 1 " (A L M W3 r )
(I: fmlqh 4 E ",LW‘ E9 we?» Ska-m H
v(.
Name: kg?
1. [5 points] State, in your own words, the Mean Value Theorem for Integrals.
w I: T} Banknqu 7J’ EAG’R'NS «my;
Calculus II, Math 152-11, Quiz #2, Form B
bdfv
4’: (5 WWW; on Cajloj/ «ilk N 3 " “WWW C in (MIL)
Fe ML was ﬁne = ﬁlfJMXB .
U
2. [8 po
Name:
Calculus II, Math 152, Quiz #8, Form B
1. [7 points] Determine the radius of convergence and interval of convergence for the
00
. 2nx4n
power serles ; n!
« 'H" ‘1 ‘ﬂ
?- “a: (In 1 x (A ewe
W’loc 0‘“ "am '
(n+1) ‘ h
{x 1"“ anq n I [‘ Znu x
Name: k”
1. [15 points] Find
f(x) = ln(1+4ac),
of the approximation f z T2
Calculus II, Math 152, Quiz #10, Form B
the 2nd degree Taylor polynomial T2 (93) for the function
centered at a = 1. Use Taylor’s Inequality to estimate the accuracy
when a: is in
Name:
Calculus II, Math 152, Quiz #9, Form B
1. [14 points total] Starting with a known MacLauren series, ﬁnd a MacLauren series
for the following functions, and give the radius of convergence for each.
(a) [7 points] me) = 1 9
q .
, l
5+2: 9 E "$1.
>1 {F
Name: ' :
Calculus II, Math 152, Quiz #6, Form B
. . . . (—1)nn °°
1. [5 pomts] Find the lmut of the sequence n.
n=1
h m (“Una [M ['Ov‘,
“‘55; (A who ( M ~ 0‘, /
2. [6 points] Find a formula for the n—th term of the sequence {
K [-)(\+\S_“
a“,
’l
Name: {47
Calculus II, Math 152, Quiz #5, Form B
11:3 1
1. [13 points] Find the arc length function s(:1:) for the function f (2:) = E + E, with
initial point (2, ) \ X1 I
vf K ‘ I? V *2
X
<3:- ‘+!%’%+-é~w if it
)< .1. 'L X14 2
[13—+711) (it zmtﬁww 2. [1
Name: %
Calculus II, Math 152, Quiz #4, Form B
1 [10 oints] Evaluate / 15—m2 dac
' p x3+5m '
lg‘xz A + Bx *C y _
f 3 g: 1’2"? l "
V L +
X“ :47) x t
'1 .
l§\K ' 2. [6 points] Set up the form of the partial fraction decomposition for the rational
1'10 — 6