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 s
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
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
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 =
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 ca
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 po
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
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
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
SIMON FRASER UNIVERSITY
Faculty of Science
Department of Mathematics
MATH 154 - D100
Midterm 2 va
Last Name:
Solutions
First Name:
SFU Student Number:
@sfu.ca
SFU Email ID:
Instructor:
Ladislav Stacho
SIMON FRASER UNIVERSITY
Faculty of Science
Department of Mathematics
MATH 154 - D100
Midterm 1
Last Name:
Solutions
First Name:
SFU Student Number:
@sfu.ca
SFU Email ID:
Instructor:
Ladislav Stacho
Da
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 slo
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,
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
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
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 s
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
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
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:
Inst
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
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 mot