MAT 237, PS5

Due, Friday Jan 31, 2:00 pm.
in SS Math Aid Center
FAMILY NAME:
FIRST NAME:
STUDENT ID:
Please note:
1. Your problem set must be submitted on this form. Please provide your nal, poli
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MAT 237, Quiz 4 Name TUTOlOl
Part A: (2 marks) What does it mean for a point a to be a critical point of a function f. What does it
mean for this point to be a saddle point for
MAT 237, Quiz 5 Name ——————— TUTOlOl
Part A: (4 marks) Give statement of the IFT (the implicit function theorem) for a function F(9:,y) and a
point (a, b). , .
f (cub) 9 F(a_,b):o mgr @5045) #0
MAT 237, Quiz 3 Name ——————————— TUTOlOl
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Part A: (3 marks) Present definition of f is uniformly continuous on a set S. Negate this definition to
write a definition for f is not uniformly contin
MAT 237, PS2

Due, Friday Oct. 18, 2:00 pm.
in SS Math Aid Center
FAMILY NAME:
FIRST NAME:
STUDENT ID:
Please note:
1. Your problem set must be submitted on this form. Please provide your nal, pol
UNIVERSITY OF TORONTO
Faculty of Arts and Sciences
AUGUST EXAMINATIONS
MAT237Y1Y
Duration  3 hours
No Aids Allowed
Instructions: There are 8 questions and 13 pages including the cover page. There is
Problem 1:
Let f (x) = x2 and g(x) = 1 +
x. Find and simplify the indicated composite function.
Also, state the domain of the composite function.
(f g)(x)
Problem 2:
Let f (x) = x and g(x) = x3 + 1.
Functions in the Real World
A cab company charges a flat fee boarding rate in addition to a per mile rate. Using your
own experience or some internet research, write an equation that represents a cab
M4A1 Working with Algebra Discussion
Please solve the following problems AND EXPLAIN STEP BY STEP HOW EACH
PROBLEM WAS CALCULATED. I NEED TO UNDERSTAND HOW THESE ARE
SOLVED:
1. 6.1 Exercise Set, Probl
One common type of calculation that is made frequently out there in the real world is a fixed and
variable cost problem  what I call a Garfield problem because its a lump and per scenario. You pay a
QUESTION 1
Find the slopeintercept form of the equation of the line
that passes through the given point and has the indicated
slope m. Sketch the line.(0,4), m=7
y=7x+7
y=7x4
y=7x+7
y=4x4
y=7x7
Name:
College ID:
Thomas Edison State College
College Algebra (MAT121GS)
Section no.:
Semester and year:
Written Assignment 3
Answer all assigned exercises, and show all work.
1. 1. Solve each equat
QUESTION 1
Select the graph of the quadratic function (x) = 4  x 2.
Identify the vertex and axis of symmetry.
Vertex:
Vertex:
Vertex:
Vertex:
Vertex:
QUESTION 2
(0,4)Axis
(0,2)Axis
(0,5)Axis
(0,3)Axi
Problem 1:
Find all real number solutions to the following equation:
5 (2x 1)2 = 0
Problem 2:
Find all real number solutions to the following equation:
1 2 3
x
=
2
4
Problem 3:
Perform the indicated o
Assignment 2: LASA 1: Compound Interest
A common component of investing money is to take advantage of a financial
institutions willingness to pay compound interest. Compound interest is basically
inte
QUESTION 1
Select the graph of the quadratic function (x) = 4  x 2.
Identify the vertex and axis of symmetry.
Vertex:
Vertex:
Vertex:
Vertex:
Vertex:
QUESTION 2
(0,4)Axis
(0,2)Axis
(0,5)Axis
(0,3)Axi