Calculus III: Practice Midterm I
Name:
Write your solutions in the space provided. Continue on the back if you need more
space.
You must show your work. Only writing the nal answer will receive litt
Final Exam for Calculus 111
June 21., 2012
NAME:
UNI:
Directions
0 The exam is 3 hours.
0 There are 8 problems in total with each for 5 points. Please
check that there is no page missing before yo
1. Find an equation of the set of points such that its distance to
the place 8 : 2:1: + 2y z + 1 = 0 is equal to its distance to the point
P : (1,1,1).
94 . A§SUMQ guk 0L YoM @ (5 4 (Dothng (90 1?)
41
Calculus III: Practice Midterm I
Name:
Write your solutions in the space provided. Continue on the back if you need more
space.
You must show your work. Only writing the nal answer will receive litt
Calculus III: Practice Midterm II
Name:
Write your solutions in the space provided. Continue on the back if you need more
space.
You must show your work. Only writing the nal answer will receive lit
Calculus III: Practice Midterm II
Name:
Write your solutions in the space provided. Continue on the back if you need more
space.
You must show your work. Only writing the nal answer will receive lit
Calculus III: Practice Final
Name:
Circle one:
Section 6
Section 7
.
Read the problems carefully.
Show your work unless asked otherwise.
Partial credit will be given for incomplete work.
The exam
PRACTICE MID TERM I
CALCULUS III
The use of class notes, book, formulae sheet, calculator is not permitted.
In order to get full credit, you must show all your work.
Each solution must have a clear
MID TERM I
CALCULUS III (26660 SEC. 2)
The use of class notes, book, formulae sheet, calculator is not permitted.
In order to get full credit, you must show all your work.
You have one hour and fte
Name:
Solutions to Practice Final
1. Consider the line r(t) = 3 + 2t, 2 t, 6 .
(a) Find symmetric equations for this line.
(b) Find the point where the rst line r(t) intersects the surface z = x + y 2
Calculus III: Practice Final
Name:
Circle one:
Section 6
Section 7
.
Read the problems carefully.
Show your work unless asked otherwise.
Partial credit will be given for incomplete work.
The exam
Name:
Practice Final
1. Consider the line r(t) = 3 + 2t, 2 t, 6 .
(a) Find symmetric equations for this line.
(b) Find the point where the line r(t) intersects the surface z = x + y 2 .
2. Consider th
Final Exam for Calculus III
June 21, 2012
NAME:
UNI:
1
2
3
4
5
6
7
8
total
Directions
The exam is 3 hours.
There are 8 problems in total with each for 5 points. Please
check that there is no page mi