MATH 152 - D100
A SSIGNMENT #4
Quiz: Friday, October 10, 2014, in-class
Instructions
Complete this assignment by Wednesday evening in your homework journal. This will give you plenty of time
to make sure you understand the material before the quiz at the
52
DIFFERENTIAL CALCULUS FOR THE LIFE SCIENCES
Figure 2.5: The graph of some arbitrary
function f (x) (dashed line) with a secant
line through the points (x0 , f (x0 ) and
(x0 + h, f (x0 + h). The slope of the secant
line is the average rate of change of
Instructor Questions 1 - Solutions
Math 154, Fall 2016
1. For each pair of functions, find all intersection points.
(a) y1 = 3x5 and y2 = x4
(b) f (x) = ax4 and g(x) = bx2 where a, b > 0
Solution: To find the intersection points we set the functions equal
Instructor Questions 4
Math 154, Fall 2016
1. This problem concerns the function f (x) =
x.
(a) Find the equation of the tangent line to f at x = 49.
(b) Use the tangent line as a linear approximation to estimate the value
50.
2. We use g to denote the ac
P OW E R F U N C T I O N S A S B U I L D I N G B L O C K S
(b) y1 =
"4
3
x3 and y2 = 4x2 .
Solution.
(a) Intersections occur at x = 0 and at (27/3)1/(42) = 9 = 3.
(b) These functions intersect at x = 0, 3 but there are no other intersections at
negative v
4
Differentiation rules, simple antiderivatives and applications
In Chapter 2 we defined the derivative of a function, y = f (x) by
f (x + h) f (x)
dy
= f (x) = lim
.
h0
dx
h
Using this formula, we calculated derivatives of a few power functions. Here,
we
3
3.1
Three faces of the derivative: geometric, analytic, and
computational
The geometric view
Observe: If you consider a smooth function f at a point x0 and zoom in on the
graph very close to this point, then the graph will begin to resemble a straight
l
SIMON FRASER UNIVERSITY
DEPARTMENT OF MATHEMATICS
Final Exam
MATH 150 Fall 2006
Instructor: Dr. Mulholland
December 14, 2006, 3:30 6:30 p.m.
Name:
(please print)
family name
given name
student number
SFU-email
SFU ID:
Signature:
Question Maximum
Instructi
Assignment 9
Calculus I with Review
Math 150 - D100 (Fall 2014)
Quiz date: Wednesday November 19th
Instructions: Complete this assignment by Tuesday in your homework journal. This
will give you plenty of time to make sure you understand the material befor
SIMON FRASER UNIVERSITY
DEPARTMENT OF MATHEMATICS
Final Exam
MATH 150 Fall 2007
Instructor: (CIRCLE ONE) Dr. Mulholland & Dr. Goddyn
December 13, 2007, 7:00 10:00 p.m.
Name:
(please print)
family name
given name
student number
SFU-email
SFU ID:
Signature:
2.4
From average to instantaneous rate of change
For time dependent data, we have introduced a precise notion of the average rate
of change over a time interval. Namely, if f is a function of time t, then the average
rate of change of f over the interval
2
Average rates of change, average velocity and the secant
line
In this chapter, we introduce average rate of change. To motivate, we examine
data for common processes: changes in temperature, and motion of a falling
object. Simple experiments are describ
MATH 152 - D100
A SSIGNMENT #10
Quiz: Friday, November 28, 2014, in-class
Instructions
Complete this assignment by Wednesday evening in your homework journal. This will give you plenty of time
to make sure you understand the material before the quiz at th
MATH 152 - D100
A SSIGNMENT #8
Quiz: Friday, November 14, 2014, in-class
Instructions
Complete this assignment by Wednesday evening in your homework journal. This will give you plenty of time
to make sure you understand the material before the quiz at the
MATH 152 - D100
A SSIGNMENT #7
Quiz: Friday, October 31, 2014, in-class
Instructions
Complete this assignment by Wednesday evening in your homework journal. This will give you plenty of time
to make sure you understand the material before the quiz at the
MATH 152 - D100
A SSIGNMENT #9
Quiz: Friday, November 21, 2014, in-class
Instructions
Complete this assignment by Wednesday evening in your homework journal. This will give you plenty of time
to make sure you understand the material before the quiz at the
I am writing this essay to explain my rationale for repeating math152.
The reason of taking this course is because it is the compulsory course
for major in Computer Science. And The reason of I chose two math
courses in the same level is because I was in
Midterm 2 (|)
MATH 152 - D100 Fall 2014
Instructor: Dr. Mulholland
November 5, 2014, 8:30 9:20 a.m.
(please print)
Name:
family name
given name
student number
SFU-email
@sfu.ca
SFU ID:
Signature:
Instructions:
1. Do not open this booklet until told to do
2.2
The analytic view of the derivative
We are focusing on the derivative of a function f at a point x0 which is defined by
f (x0 + h) f (x0 )
h0
h
f 0 (x0 ) = lim
Notes:
The derivative f 0 (x0 ) is the slope of the tangent line to f at x0
For a functio