Consider the function fir = 1" 4:13.
Note: Besuretoshowmoughworkon parts cfw_h and [c] that it isclear tothe grader howyoumccl
calculus (and not a graphing calculator or someone clses paper] to do the problem.
cfw_a 1IlliFhat are the roots [sect-cs] of f?
Consider the function Ike = ezj.
[Remember that 15:2 means e'[_2]'. NUT cfw_dBI]: and that. 12 means [:I.'2]. NUT cfw_I2.]
Note: Be sure to show enough mark on parts [a] and cfw_b that it is clear to the grader how you used
calculus [and not. a graphing c
Find all solutions 1: Eur each equation below. Give both exact answers and appluximations correct to
three decimal places.
cfw_a 3-3: = link
[1] ll] :1: = 2
cfw_a fie" 62:2: = I]
The radioactive element iodine-131 is 0011111101113; used in treating medica
Consider the function HI] = 32:5 5.1;" on the domain [11 2].
Note: Be sure to SIZIDW enough work on part: cfw_a. [b]. and [c] that it is clear to the grader how you
used calculus [and not a graphing oaleulator or someone Elses paper] to do the problem.
cf
Math 1230
Quiz 3
Name
Show all work!
1)
July 15, 2016
How much energy is obtained by emptying a conical tank through its tip? The tip of the tank
is at the bottom on the surface of the earth and it circular top with radius 3 m is 5 m above
the surface of
Lakuru 1
Ibrahim Lakuru
ProfessorLingenfelter
History 1010
04-28-2016
Abu-Jamal Response
Mumia Abu-Jamal is an American activist cum journalist convicted and sentenced to death in
1982 for the murder of Daniel Faulkner, a Philadelphia Police Officer. He w
lakuru 1
TITLE:
The Equilibrium Constant
PURPOSE:
In this experiment I calculated the equilibrium constant for the reaction
shown below under different conditions to determine if the equilibrium
constant is really constant.
Fe3+ (aq) + HSCN (aq) FeSCN2+ (
Math 1230
Midterm
Name
Show all work!
1)
July 29, 2016
Evaluate the following integrals.
Z
6
(a)
cos3 (3x) sin2 (3x) dx .
0
We use the substitution u = sin(3x) since the power of cos(3x) is odd. Then du = 3 cos(3x) dx,
u(0) = 0, and u 6 = 1. This gives
6
Math 1230
Quiz 1
Name
Show all work!
1)
July 8, 2016
Using both slices and shells, find the volume of the solid generated by rotating the region in
3
the first quadrant of the plane between the curves y = x2 and y = x3 around the x-axis.
1
Math 1230
Quiz 4
Name
Show all work!
1)
July 22, 2016
Evaluate
Z
2)
cos2 (2x) sin3 (2x) dx .
Solve the initial value problem
dy
y2 + 1
= 2
,
dx
x +1
1
y(0) = 1 .
2
3)
Evaluate
Z
w2
dw
9 w2
Math 1230
Quiz 5
Name
Show all work!
1)
August 5, 2016
Use Eulers method with 13 equal steps to approximate x(2) if x(t) is the solution to
x0 (t) = 1 + 4x(t)2
2)
and
x(0) = 1.
The following graph is the slope field for a differential equation. Sketch the
5. Us a particular +:la.1_l,r1 a towns electricity Image can be approximated by a sinmm'dal metion UTE].
wheret = G oorrespoms to midnight. The function has a period of24 hours and goesfmm alowof
311,001 kilowatts at IEi a.o:u. to a high of m kilowatts at
Consider the function x] = 533. Do not round oif your answers to the following.
cfw_a 1What is the average rate of change off on the interval [2, 2.1]?
(h) 1What is the average rate of change off on the interval [2. 2.01]?
cfw_c 1|."'va]:uat is the averag
Math 1230
Quiz 6
Name
Show all work!
1)
August 12, 2016
Does the following sequence converge?
an =
2)
n2 sin(n)
15 n2
Does the following series converge?
X
n2
n!
n=15
1
2
3)
Does the following series converge?
X
26m
52m
m=1