MA'I‘H 2205 HMWS
CLASS EXAM 2
Date: Wednesday, November 4, 2015
Time: 90 minutes
Instructions: Answer all questions and show all work. There are 40 marks
available
NAME . .
PART 1 w NC) CALL’TUI.,.ATORS PERMI'I‘TIED
l. (4 marks)
For the function f(x) 3x“
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by Ca
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by Ca
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by Ca
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by Ca
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by Ca
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by Ca
PART 2 —~ CALCULATORS PERMITTED
Name . .
4. (8 marks)
An area of 300 square feet has to be enclosed by fencing as shown. Note that
there is no fencing required aiong the river. What is the minimum Eength of
fencing required?
5 . (8 marks)
Find the eiast
MATH 2205 KTRB
CLASS EXAM I
Date: Wednesday, September 30
Time: 90 minutes
PART 1 M— NO CALCULATORS PERMITTED
Instructions: Answer all questions and show all work. There are 50 marks
available
NAME . .
1. (9 marks)
Find the absoiute extreme of f (x) m x2q
MATH 2205 KTRB
CLASS EXAM 1
Date: Wednesday, September 30
Time: 90 minutes
PART 1 m NO CALCULATORS PERMITTED
Instructions: Answer ail questions and show at} work. There are 50 marks
available
. . .
1. (9 marks) W
Find the absolute extrema of f(x) = x2 (2
MATH 2205 HMWS
CLASS EXAM 2
Date: Wednesday, November 4, 2015
Time: 90 minutes
Instructions: Answer all questions and show all work. There are 40 marks
available
NAME.
PART 1 NO CALCULATORS PERMITTED
1. (4 marks)
For the function f ( x) 3x 3 x
(a) Show th
MATH 2205 QUIZ 1
Differentiation Review, 3.1
NAME.
1. Find the derivative of
(a)
y
(b)
(c)
2x 3
x 1
y ( x 3) ( x 2)
1
y 2( x 2 1) 2
2. Locate all critical points of
2
f ( x) ( x 2 9) 3
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by Ca
Sec 3.1
Extrema of a Function
Continuity
Maximum and Minimum Values
Extreme Value Theorem
Relative Maxima and Minima
Critical Numbers and Critical Points
Continuity:
Any function whose graph is without hole or jumps is a
continuous function. Any point in
Applications of Antidifferentiation
(use initial conditions to find specific solutions)
Particular Solutions
Equations of Motion
Marginal Functions
Separable Differentiable Equations
Finding Particular Solutions when you have a general
solution in the
Applications 1Geometric Optimization Problems
Area and Perimeter
Optimization Procedures
Volume
Distance and Velocity
Determining maximums and minimums are a key goal in
solving many problems. Here we are discussing
optimization problems, which requires a
Sigma Notation and Areas
Sigma Notation
Linearity Property
Summation Formulas
Riemann Sums
Areas by Riemann Sums
Calculator Tips
Well start out with two integers, n and m, with
and a list of numbers denoted as follows,
We want to add them up, in oth