MTH 200 SL1 Weekly Check in Assignment 7 - Solution
1. Find the absolute maximum and absolute minimum values, if they exist, for
f ( x) x3 9 x 2 24 x 14 over the interval (-2, 3)
Since this is an open interval we need to find f(x) and f(x).
f ' ( x) 3x 2
Practice Exam 1 Applied Calculus
1. An investor deposits $2100 into an account that bears 3.2% interest where
the interest is compounded quarterly. How much will be in the account
after 6 years?
2. A manufacturer of radios has determined that the Supply f
Miguel Angel Martinez
03/23/2014
MTH200-SL1
Professor Mahar
Due: 03/29/2014
Weekly Check-In Assignment 9
a.
Write an equation that describes the number of stores open t years after bankruptcy.
a.
The court determines that the company will become profitabl
Miguel Angel Martinez
04/28/2014
MTH200-SL1
Professor Mahar
Due: 05/03/2014
Weekly Check-In Assignment 13
1.
A couple decides to deposit $1600 per year, in a continuous money flow, into an account that bears 8%
interest. What is the Accumulated Present Va
Miguel Angel Martinez
03/17/2014
MTH200-SL1
Professor Mahar
Weekly Check-In Assignment 8
Calculate the derivative of the following functions, do not simplify your answers.
1.
1.
Due: 03/22/2014
1. A oouple decides to deposit $1500 per year, in a continuous money ow, into an
amount that bears 3% interest. What is the Accumuiated Present Value ofthe account
after 15 1,.rea rs?
ls
moo em =15.261.4443263575
- 0.03 D
ll
cfw_lame-mat =
Ill
So the pr
2. Find the predueers surplus for the given supple and demand functions:
3(1) = x"- + x +9
em = 12 e: + 51
rst find the equilibrium point.
x1+6x+e=xhex+st
14: = 42 sreknrey=ee en the equilitrium point ie (3.33
J: = 3
We then plug into the fornwle for the
2. $8000 is deposited into an account that bears 3% interest (annual rate)
compounded continuously. What is the balance in the account 5 years after the
deposit is made?
13(5) = 3(1:1n:).4-i"-"15J = 9294.67394326264
$9294.67
2. Find the simplified difference quotient for f(x) = L3
x
1 1
f(I+fI-f(x) = x+h-3-
r; h
We need to get a oommon denominator for the numerator of (x+h-3)(x3] and
then invert the denominator and multiply.
13 _ x+f1-3
(x+h3)(x3) cfw_x+f1-3)(x-3) _ r: .1
r1
1. Determine whether the given function is continuous at x = 2, if it is not continuous
12 4
explain whu. f(x) = I + 2
4, I = 2
,xvt-Z
Using the Continuity Checklist: fi2] = 4, so it exists.
Inf4 Brow: ljm(x2)=22=4,soitexists.
xrE I + 2 _ 11-4 I +2 xr
1. Determine the following limit algebraically, if it exists. If the limit does not exist explain
why. 11me _3
1)?
Solution: When we plug 9 in we get a [lid limit, so we need to do some algebra. We need
to rationalize the numerator by multiplying the nume
2. A manufacturer of radios has determined that the Supply function for a
particular product is described by 3(p) = p2 - 4 p 3 , and the demand
function is D(p = -p2 + 14p+ 12 , where p is the price at which the radios
are sold. Determine the equilibrium
Miguel Angel Martinez
01/27/2014
MTH200-SL1
Professor Mahar
Due: 02/01/2014
Weekly Check-In Assignment 2
1. Find the equation of the line passing through (-2,6) and (3,-4) in slope-intercept form.
y=mx+b; m=y/x = (y2y1)/(x2 x1) = (4)6)/(3(2)= (10)/5=2;
6
Miguel Angel Martinez
02/25/2014
MTH200-SL1
Professor Mahar
Weekly Check-In Assignment 5
Differentiate the following. Do not simplify your answers.
1.
1.
Due: 03/01/2014
MTH 200 SL1 Weekly Check in Assignment 4 - Solution
1. Determine whether the given function is continuous at x = -2, if it is not continuous
x2 4
explain why. f ( x) x 2 , x 2
4, x 2
Using the Continuity Checklist: f(-2) = 4, so it exists.
x2 4
( x 2)(
MTH 200 SL1 Weekly Check in Assignment 5 - Solution
Note: You may (and are encouraged to) use any shortcut rules on
this and future assignments.
Differentiate the following. Do not simplify your answers.
1.
s(t ) (6t 3 2t 2 )3 (7t 4 6t 4)5
We need to use
MTH 200 SL1 Weekly Check in Assignment 9 - Solution
A company with 10,000 stores goes bankrupt and is forced to close stores at a rate of 8%
dN
0.08 N
dt
per year, continuously.
a. Write an equation that describes the number of stores open t years af
MTH 200 SL1 Weekly Check in Assignment 8 - Solution
Calculate the derivative of the following functions, do not simplify your answers.
1.
f ( x)
ln x
x3
We can use the Product Rule (after rewriting the function) of Quotient Rule. Using
3
the Quotient Rul