QUIZ 2
MATH 2210005
September 10, 2014
NAME:
1. Using dot product, write down the definition of the length if of a vector
2. Using cross product, write down the definition of two vectors 7 snd
.
being parallel.
3. Invent a unit vector Ii in three dimensi
Radhika Gupta
Math 2210005, Fall 2014
November 5
Midterm 2
INSTRUCTIONS:
1. Calculators are NOT allowed.
2. REMEMBER : Dont spend too much time on problems which are worth very few points.
3. Dont get stuck on a problem, KEEP MOVING ON and in the end com
4

ik3
.
2:
.
j

j
C
r
g
\k
II
TTI
r
NiJ
c

1.
I
cJAI
I
r
c
rj
/\
C
0
c
A
_l
(.
c
c.

z

0
VS
cQ
+
II
C
N
CD

\/

A
cz
c1
cC
cC
+
II
cC
N
cC
CD
0
C
Nj
Cl
Ivlatll 2210005, Fall 2014
Radliika Gupta
3. Find the unit vector in the direction in which
Radhika Gupta
Math 2210005, Fall 2014
December 5
Midterm 3
INSTRUCTIONS:
1. Calculators are NOT allowed.
2. REMEMBER : Dont spend too much time on problems which are worth very few points.
3. Dont get stuck on a problem, KEEP MOVING ON and in the end com
Radhika Gupta
Math 2210005, Fall 2014
October 1
Midterm 1
NAME:
INSTRUCTIONS:
1. Calculators are NOT allowed.
2. REMEMBER : Dont spend too much time on problems which are worth very few points.
3. Dont get stuck on a problem, KEEP MOVING ON arid in the e
QUIZ 1
MATH 2210005
September 3, 2014
NAME:
o
t1&fl0N.
1. Sketch the graph of the equation
2x + 6y + 3z
2. Find the arc length of x(t)
3. The plane 2x + 4y
z
=
sint, y(t)
=
12
t for t e [0, 1].
cost, z
5 intersects the plane z
=
=
0 in a line. What is t
Radhika Gupta
Math 2210005, Fall 2014
September 17
Quiz 3
1. Given n(t)
2.
=
tant and P(t)
=
u3,
+sin
2
u evaluate P(t).
(a) Write the equation of tangent line to the curve i(t)
point where t = 1.
(b) Is the plane 5x zly + 3z
Explain your answer.
=
=
j k
Math 2210005, Fall 2014
Radhika Gupta
October 22
Quiz 6
1. Find
by using the chain rule. Express your final answer in terms of s and t.
w
=
x
y
2
x
=
st
y=st
2. Find a point on the surface z
+3y
2
2x where the tangent plane is parallel to the plane 8x3yz
tLoO7
Radhika Gupta
IViath 2210005, Fall 2014
November 25
Quiz 10
1. Given P(x, y, z)
=
yz + xz3 + xyk. Find V.F(x, y, z) and V x P(x, y, z).
2. Find the work done by the force P(x, y)
(t) = + t23,t E [0,1]
0
+
J
y + x3 in moving a particle along a curve
Math 2210005, Fall 2014
Radhika Gupta
November 19
Quiz 9
1. Rewrite the following integral in terms of spherical coordinates. Do NOT solve the integral. (Pic
tures are helpful)
:3
.JjE53E
3
vi
_z
2
/r3.x
2 2 2
(x + y + z
dydzdx
312
)
1)
2. Use cylindric
Radhika Gupta
Math 2210005, Fall 2014
September 19
Extra Credit Quiz
Equations of lines and planes
1. Invent an equation of a PLANE passing through the point (1,2, 3).
pLane
c
+
,
VcCtr LI L J 4k
cfw_ Ffr. mirW  *
+hevi qLttkhcmn bb [1.Ckne. s
C 3)
ci:
Math 2210005, Fall 2014
Radhika Gupta
ttioms
October 29
Quiz7
I;
1. Use method of Lagrange multiplier to find a twodimesnional vector whose magnitude is,A and sum
of whose components is a maximum.
2. Determine whether the point (1,2) is a point of l
Math 2210005, Fall 2014
Radhika Gupta
December 17
Learning Celebration!
INSTRUCTIONS:
I
1. Calculators are NOT allowed.
2. REI\IEMBEP : Dont spend too much time on problems which are worth very few points.
3. Dont get stuck on a problem, KEEP MOVING ON a
Math 2210005, Fall 2014
Radhika Gupta
December 17
Learning Celebration!
INSTRUCTIONS
1. Calculators are NOT allowed.
Dont spend too much time on problems which are worth very few points.
2. REMEMBER
3. Dont get stuck on a problem, KEEP MOVING ON and in t
September 24
Math 2210005, Fall 2014
Radhika Gupta
oLuho
Quiz 4
1. Answer the following questions, based on the picture below
C(a) Express r (the blue line in the picture) in terms of x and y.
(b) Express r in terms of p and
.
[Use triangle
r

.c
0
(c)
Radhika Gupta
Math 2210005, Fall 2014
Quiz
1. Evaluate
11
d.
3 22
2xy + 4x y where C is the boundary of the triangular region in the first quadrant
dy
enclosed by the xaxis, the line x
2. Show that
o
December 12
=
1, and the curve p
=
.
2
x [Use Greens
Math 2210005, Fall 2014
Radhika Gupta
November 12
Quiz 8
1. SET UP (do not solve) the integral to find the volume of the region S given by
cfw_(x,y,z) :0
x
\/,0
y
4,0< z < 3x
2. Rewrite the following iterated integral with the indicated order of integrat
Mathematics 2210
Spring, 2015
Instructor:
Kelly A. MacArthur
Class Time and Place:
8:35 a.m.  9:25 a.m.
Mondays, Wednesdays, and Fridays
in WEB L103
Office Hours:
Mondays 7:30 8:30 a.m.,
Wednesdays 11:00 a.m. 12:00 p.m., or by appointment
Office Location