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
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 a
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
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
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 tha
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
MTH 200 SL1 - Weekly Check in Assignment Week 10
1. Approximate the area under the curve f ( x) 3x 2 1 over the interval
[1,3] using 4 rectangles evaluated at the right hand endpoints.
2. Integrate: (
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 =15.26
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
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 = 9
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 multi
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
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 ne
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=m
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 Conti
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 answe
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 equat
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 t