Quiz Review 10.1, 10.2
1) Write the first five terms of the sequence. Determine if the sequence converges. If so, find its
limit.
2) Find a formula for the first five terms of the sequence starting with n = 1.
1, 5, 25, 125, .
3) Is the sequence strictly
Review Problems for Chapter 10 (10.1 10.6) Test
1) Find the sum:
2
(2k + 1)(2k + 3)
k =1
Determine whether the series converges or diverges. Justify your answer.
2)
1 e
k
k =1
3)
4)
ln k
k
k =3
This series satisfies the hypotheses of the alternating seri
Quiz Review 4.2, Limit Definition of the Derivative
Note: No Calculator
Know: Both limit definitions of the derivative,
dy/dx for y = lnx and y = logax
Sample problems:
p. 248 #52 a and b
[Ans. #52 a) 0 #52 b) ]
p. 247 #26
[Ans. ]
Sample Test Questions:
dy
1. Find
for the following functions.
dx
a. y = arcsin(x3)
b. y =exsinx
c.
y = ln(e-x)
2. Evaluate the limits by first describing the indeterminate form (if any) that is obtained
by direct substitution. Evaluate the limits using a
Review for Test on Applications of Differentiation (Chapter 3 and 5) No Calculator!
3.1 Average and Instantaneous Rates of Change
Given a function, find the average rate of change of y with respect to x over an interval.
Given a function, find the instant
Vector Motion
Avectorisaquantitydescribedbya_and_.
B
or
A
Incomponentform,thisvector=
Themagnitudeofthisvector,denoted=
Ifu=<2,3>andv=<3,4>
drawu+vandstateitscomponentform.
1
2
3
4
5
Whenisaparticleatrest?
As
representsmotioninthexdirectionastimeincreases