10.
. Each of the following functions gives the equation of motion for a particle, where
s is in meters and t is in seconds. Find the velocity and acceleration as functions
of t.
(a) s[t) : t3 3t
(b) s(t)=t2t+1
(c) 5m 2 A]? + Bt + C
(d) 3(t) = 2:3 71? + 4
Solutions to Practice Problems
Tuesday, October 28, 2008
allows us to just plug in the value 2. So,
lim (x2
2x + 1/x) = f (2) = 22
x!2
4. Calculate the limit limx!1
x2 1
.
x 1
2 2 + 1/2 =
What property allows us to do this easily?
Solution: Again, lets ca
_. _:r_-_- -
1. Indicate whether each of the following statements is true or false.
(a) If f is continuous at o, then f is differentiable at a. .
(b) If f and g are dierentiable, then
fine) + 9th = M) + was).
(3) If f and g are differentiable, then
jm
Name: go L who (Us
Section (circle one): Esselstein Setyadi
FINAL EXAM
December 7, 2004
This is a closed book, closed notes exam. You are on your honor not to use outside
sources while you are taking this exam. You are also on your honor not to talk
about
10.
, Find the derivative of the following functions:
(5) y = see
(b) 9(23) = 1.6m + w
I (0) f6) =Wt
For each of the following, nd the equation of the tangent line to the given curve
atthe given point.
(a) y = 333": (6:2)
y = 13x2, (3,
(C) 9: 1.3332: (1
Solutions to Practice Problems
Using this formula, f 0 (2) =
got before!
Tuesday, October 28, 2008
9 22 + 1 =
94+1=
36 + 1 =
35, which is what we
17. Using the same f (x) as in 15 and 16, nd the values of x where f 0 (x) = 0. What does
this tell us about
NAME:
MATH 1 MIDTERM 2
November 7; 2007
INSTRUCTIONS: This is a closed book, closed notes exam. You are not to
provide or receive help from any outside source during the exam.
0 Print your name clearly in the space provided.
a You may not use a calculator
y = taI1(3:c)
y = C'GS"($3)"
y = 135111062) + tan2 x
y = 5111(sin m)
y = cot(\3/1+scz)
y ' sin2(oos(4$)
y = sin(t3,11(\/ sin 56)
' y =1n(osc(5$)
ml
y = waging+1
g(:c) = 53 003(339)
yzgz
y Sleé(etan(22)
My) * lnwa sin y) I
= BICSi(2$ 1)
y = (arcsin so)2
M