Computing Limits
SUGGESTED REFERENCE MATERIAL:
As you work through the problems listed below, you should reference Chapter 1.2 of the recommended textbook (or the equivalent chapter in your alternativ
Chapter 2.5 Practice Problems
EXPECTED SKILLS:
Know the derivatives of the 6 elementary trigonometric functions.
Be able to use these derivatives in the context of word problems.
PRACTICE PROBLEMS:
Chapter 2.5 Practice Problems
EXPECTED SKILLS:
Know the derivatives of the 6 elementary trigonometric functions.
Be able to use these derivatives in the context of word problems.
PRACTICE PROBLEMS:
Limits: An Intuitive Approach
SUGGESTED REFERENCE MATERIAL:
As you work through the problems listed below, you should reference Chapter 1.1 of the recommended textbook (or the equivalent chapter in yo
Techniques of Differentiation
As you work through the problems listed below, you should reference Chapter 2.3 & 2.4 of
the recommended textbook (or the equivalent chapter in your alternative textbook/
Continuity
SUGGESTED REFERENCE MATERIAL:
As you work through the problems listed below, you should reference Chapter 1.5 of the recommended textbook (or the equivalent chapter in your alternative text
Limits & Continuity of Trigonometric Functions
SUGGESTED REFERENCE MATERIAL:
As you work through the problems listed below, you should reference Chapter 1.6 of the recommended textbook (or the equival
The Definition of the Derivative
SUGGESTED REFERENCE MATERIAL:
As you work through the problems listed below, you should reference Chapter 2.2 of the recommended textbook (or the equivalent chapter in
Tangent Lines & Rates of Change
SUGGESTED REFERENCE MATERIAL:
As you work through the problems listed below, you should reference Chapter 2.1 of the recommended textbook (or the equivalent chapter in
Continuity
SUGGESTED REFERENCE MATERIAL:
As you work through the problems listed below, you should reference Chapter 1.5 of the recommended textbook (or the equivalent chapter in your alternative text
Limits at Infinity
SUGGESTED REFERENCE MATERIAL:
As you work through the problems listed below, you should reference Chapter 1.3 of the recommended textbook (or the equivalent chapter in your alternat
Techniques of Differentiation
As you work through the problems listed below, you should reference Chapter 2.3 & 2.4 of
the recommended textbook (or the equivalent chapter in your alternative textbook/
Exam One MATH 200 Spring, 2008
Name 60 UU'TMQ [49'3 Section 00
Show all your work on the exam paper, legibly and in detail, to receive full credit.
No Calculators. NOTE: Page 4 just has pictures; th
Exam Three MATH 200 Spring, 2010
Show all your work on the exam paper, legibly and in detail, to receive full credit.
The use of a calculator or any other electronic device is prohibited. You may
MATH 200 MAKEUP EXAM SPRING 2010-201 1
May 25, 2011
Name: Section:
ONLY THE CORRECT ANSWER AND ALL WORK USED TO REACH IT
WILL EARN FULL CREDIT.
Simplify all answers as much as possible unless explic
Final Exam: Solutions
Problem 1. Given vectors u : (1,0,2), V : (2,1,3), and w :
(72,1,0), nd
(a) the vector u v;
(b) the unit vector in the direction of w;
(c) the projection of u i v onto the direct
Exam 2: Solutions
Problem 1. Use the chain rule to nd % and % if z : $2y3+x Siny,
x 2 ug, y 2 av.
Solution.
82 (92 8:17 82 (99!
(9a (19$ 8a g; (9n
= (ngugvg + sin(uv)(2u) W (3u4u2v2 + 1.92 cos(uv)v
:
Exam 2: Solutions
Problem 1. Locate all relative maxima, minima, and saddle points for
f(a:,y) : $2+3$y+3y2 76x+3y76.
Solution. fx * 29: E 3y 6, fy * 3:1: E 6yE 3. To nd acritical point, solve the
s
Exam 2: Solutions
Problem 1. Locate all relative maxima, relative minima, and saddle points for
f(a:,y) : 3:3 933y+y3.
Solution. Critical points should satisfy the equations
ft : 33:2 793; :0, f, :79x
Exam 1: solutions
Problem 1. Describe the surface Whose equation is
(a) $2 *7 y = 0;
(b) 2$y+z:0;
(c) 3:2 119.2122 722 =0;
(d) x274x+ygiz=
Solution. (a) The equation $2+y : 0 is equivalent to y : $2
WINTER 2004 COMMENTS ON TEST MATH 200
1. (a) Find a unit vector orthogonal to the plane determined by the three points A(1, 0, 11), B(1, 2, 0),
and C(2, 0, 1). (b) Find the equation of the plane deter
* This is exam 1 from Spring 2007. Be aware that material covered by our first exam may be different - we have covered some things that they did not, and they covered some things that we did not, at t