Math-158 Calculus 3 Final Examination Spring 2007
Answer 10 questions. Each question is worth 20 points.
1.Find a rotation that eliminates the zyterm from the equation
x2 wy + y2 = 2.
Rewrite the equation in terms of the new coordinate system and sketc
Final Exam
Math 159 Calculus III
Spring 2006
Choose only 8 questions from #1 - #12 and only 7 questions from #13 - #21.
[20 pts]
1. Find the maximum and minimum values of the radius of curvature for the
curve x = cos t, y = sin t, z = sin t; 0 t < 2 .
(No
CALCULUS III [MATH 158]
FALL 2006 FINAL
INSTRUCTIONS: Answer any 5 questions of PART A, and
any 4 questions of PART B.
PART A.
Each problem in part A is worth 20 points. Answer any 5 of
the following 10 questions.
1. Find an equation of the plane which
Final Exam
Math 158 Calculus III
Fall 2003
Please do 10 of the following problems. (Be sure to indicate which ten problems you
want to have graded.)
1. Find an angle of rotation that eliminates the xy -term from the equation
11x2 + 4 3 xy + 7y 2 1 = 0 .
R
Final Exam
Math 158 Calculus III
Fall 2002
Please do 14 of the following problems. Be sure to indicate which 14 problems you want
to have graded.
1. Find parametric equations for the line through the point (0, 4, 0) and perpendicular
to the plane 4x 5y +