Kaili Sun
Assignment Assignment 9 due 11/11/2016 at 11:00pm PST
MATH180-ALL 2016W1
1. (1 point)
( A, C, E, G )
( A, C, E, G )
(correct)
2. (1 point)
Find the absolute and local maximum and minimum values
of f (t) = 7/t + 4, 0 < t 6. If there are multiple

Chapter 3.4: Approximating Functions near a Specified Point
3.4.4: Still Better Approximations: Taylor Polynomials
Properties of a Taylor Polynomial
Constant:
f (x) f (a)
Linear:
f (x) f (a) + f 0 (a)(x a)
Quadratic:
f (x) f (a) + f 0 (a)(x a) +
1 00
f (a

Chapter 2: Differentiation
2.13 Mean Value Theorem
Rolles Theorem
y
x
Chapter 2: Differentiation
2.13 Mean Value Theorem
Rolles Theorem
Let a and b be real numbers, with a < b. And let f be a function with the properties:
and f (a) = f (b).
Then there exi

D IFFERENTIAL C ALCULUS Q UESTIONS
F OR MATHEMATICS 100 AND 180
Elyse Y EAGER
Joel F ELDMAN
Andrew R ECHNITZER
T HIS DOCUMENT WAS TYPESET ON F RIDAY 4 TH N OVEMBER , 2016.
Legal stuff
c 2016 Elyse Yeager, Joel Feldman and Andrew Rechnitzer
Copyright
I

D IFFERENTIAL C ALCULUS N OTES
F OR MATHEMATICS 100 AND 180
Joel F ELDMAN
Andrew R ECHNITZER
T HIS DOCUMENT WAS TYPESET ON M ONDAY 12 TH S EPTEMBER , 2016.
Legal stuff
c 2016 Joel Feldman and Andrew Rechnitzer
Copyright
In the near future this will be

MATH 180 Workshop 3 Quiz
Show all your work. Use back of page if necessary.
Last Name:
First Name:
UBC Stud. No.:
1. (a) Find the equation of the tangent line to the curve y = 1/x2 at the point
(a, 1/a2 ).
(b) Find the equation(s) of the line(s) that pass

Math 180 Workshop - Problems #3, Week of September 22, 2014
Basic skills required to work through the workshop problems:
solving linear and quadratic equations;
finding the equation of a line given two points on the line or one point and the
slope;
fin