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, polished solutions in
the spaces provided. Remember, it is
A
l l 0 Z;
547‘! L r t” A 1 J , M mad/0‘6 re “May/Md”)
62% m ghWi «:6 2‘4 AﬁLﬁw/f {mm/mm [/130er
’1 7‘
WWW 66 “Mm H are: ‘4 x \
. :0 >10? 07/ w 2 MO
>\ “WV/V4) +X+AA+% =0 APTOD’ ﬁHrwl 4’ m M—B’
MW. “‘\ (Mail)
w m 3 )‘1" [0/ 9&3
x,320 «7 (3330\+\)
{flu/1 g i ’ 3L, ' C;
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 f?
“lax
l
ﬁg.
reasoning.
1M
{ii "EC 5 Q
i a;
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
F be Clifn 22M “6' "W
"1’33 5" ME; " v [V IL
<39 “§1%
MAT 237, Quiz 3 Name ——————————— TUTOlOl
I? I
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 continuous on S.
f; UL CmS VG>0 38>o V’XWQS lx'7l<§>c~>lfm'f"
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, polished solutions in the
spaces provided. Remember, it is
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 a total of 110 marks
which include 10 bonus marks. Plea
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. Find the following value if it exists:
(f g)(1)
Proble
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
companys rate taking into account the initial flat boa
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, Problem #40
Solve using the elimination method. Also determi
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
fixed cost (or a lump sum) to rent the car, or have pho
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
QUESTION 2
Find the slopeintercept form of the equatio
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 equation. (See section 1.1, Examples 1 and 2.) [10
points]
a
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)Axis
(0,1)Axis
of
of
of
of
of
symmetry:
symmetry:
symmetry
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 operations
(1 3i) (4 + i)
Problem 4:
Find the complex so
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
interest paid on a deposit that continually accumulates int
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)Axis
(0,1)Axis
of
of
of
of
of
symmetry:
symmetry:
symmetry