Math 267
15. [1 cos(4)] [e2 1].
16. Answer on own.
Review Sheet 2 - Answers
1. Answer on own.
17. Answer on own.
2. Answer on own.
18. Answer on own.
19. [256 ( 2 1) ]/3
3. z 3 = 3(x 1) (3/2)(y 2)
20. ln(2)/2
4. Using f (x, y) = ex + sin y we nd
f (2.1, 0
Math 267
8. Let f (x, y, z) and g(x, y) be functions and let a, b
and c be 3-d vectors and u is a 3-d unit vector. Are
the following scalars (numbers), vectors, or do they
just not make sense?
Review Sheet II
READ THE BOOK. Re-read every chapter of the
c
Exam III review sheet for math 267
1. READ THE BOOK. Read every chapter of the covered material. Youll be amazed at how
much you now know and this really will (trust me) solidify what you need to know. This
seems like a lot of work, but it should move qui
Exam III review sheet for math 267
3 Do the following make sense? If so, what do they represent?
(a) Does not make sense.
(b) The volume of the solid under the plane z = x above the region
D = cfw_(x, y)|1 y 2, 0 x 4.
(c) Same as part (b)
(d) The volume o
Math 267
Review Sheet 1
1. Given the points A(5, 5, 1), B(3, 3, 2) and C(1, 4, 4),
determine whether triangle ABC is isosceles, right,
both, or neither.
2. Find the equation of the sphere with center
1
C(2, 0, 5) and radius .
3
3. Find the center and radi
Math 267
Review Sheet 1 - Answers
2. (x 2)2 + y 2 + (z + 5)2 =
3. C( 1 , 1, 3), R =
2
1
9
7
2
4. a. A plane perpendicular to the y-axis and passes
through y = 8
b. The rst-, second-, third-, and fourth-octants
excluding the xy-plane
c. The exterior of an