Midterm 1 Solutions - Complex and Vector Analysis for Engineers | MATH 291, Exams of Vector Analysis

Material Type: Exam; Class: Complex and Vector Analysis for Engineers; Subject: Mathematics; University: Drexel University; Term: Unknown 2008;

Typology: Exams

Pre 2010

Uploaded on 08/19/2009

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m;Jtezua. f. S o 4u f.r>&4€
) V,L
t. L'9 = Zxj
(Spts)72' *+7- c>c-L+z')'
divr=, o
2. flred
Pr*,A,4 =-
(zz=-27
(r o pft\
h =A"4
-4 , - 3
x-
x-- +
J. : -22?
6*ta rzlz
R.r 4 z-z-)
3
b.
7( z--r) SCVrl) t8(z -2)=-Q
T
n
J tl
f- '"st)"* sin't +r- dt = 'lV ii .
o
^!- r
(l
\{
JI
-o L
Clofft\ z{ T_+! () x+ zc*rsc1,z.)
? =f=7'r*v)tn =
Ei
n(t=)+ kcz.)
.: I t - /- - ., I
Ot- u r'rti Ar= L (I-t/z\/11 4 c.t(,q 2 >
- r'-o!HZ + *'C4(9 A -s67 => Y
--1
f (x-,fl,z) = !r t sin {7 z)
4
( spt)
F
(
i, Ptu) ( st' * 6 t') / 4tu.
( 2t)
+
)
o
t4.
k41d
I Qt'-2etL*6ot1\dt - 5.
{<*,7,z.) =- fZ dx- = /<- +y{y,z)

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m;Jtezua. (^) f. S o 4u^ f.r>&4€

) V,L

t. (^) L'

Zxj

(Spts)72'

*+7- (^) c>c-L+z')'

divr=, o

flred

Pr*,A,

=- (zz=-

(r o pft\

h =A"

  • , - 3

x-

x--

J.

:

-22?

6*ta rzlz

R.r 4 z-z-)

3

b.

7( z--r) (^) SCVrl) t8(z^ -2)=-Q

T n

J

tl f- '"st)"*

sin't +r- dt

'lV ii.

o

^!- r (l { JI -o L

Clofft\ z{^

T_+! () x+ zc*rsc1,z.)

=f=7'r*v)tn = Ein(t=)+ kcz.)

.: (^) I (^) t

  • /- (^) - ., I Ot- (^) u r'rti Ar= L (I-t/z/11 (^4) c.t(,q (^2) >

r'-o!HZ

*'C4(9 A

-s

=> Y

--

f

(x-,fl,z) =^ !r

t (^) sin (^) {7 z)

4

( spt)

F

( i,

Ptu)

( st' * 6 t') / 4tu.( 2t) +^ ) o t4.k41d

I

Qt'-2etL*6ot1\dt

{<*,7,z.)

fZ

dx- =

+y{y,z)