MATH 32B – Spring 2025 Midterm 2 (Fully Worked A+ Multivariable Calculus Solutions) • UCLA – 2026 Updated

$15.58

Preview 2 out of 8 pages

Exam (elaborations)

MATH 32B – Spring 2025 Midterm 2 (Fully Worked A+ Multivariable Calculus Solutions) • UCLA – 2026 Updated

0.0

(0 reviews)

- sold

8 pages

2026/2027

Institution University Of California - Los Angeles

Course MATH 32B (MATH32B)

Preview 2 out of 8 pages

MATH 32B – Spring 2025 Midterm 2 (Fully Worked A+ Multivariable Calculus Solutions) • UCLA – 2026 Updated

Content preview

0123 456789 99
46 9

!"#$%&&
'#$!()*!(+,
-./01
234567-8/90:1
;<&&=!>?#@@!A&B@!
&C
>DEEFDGEH*IJ@&!&&!$!@@
C<&C
@@
?#K
@&L&C
&B

&&$#KI
MJ
#?#@@L&$&$

&$#C(

$

<
?(

?
AI
MH?&<

@$L&?#&
<&&#&@CIH?&<

@$L&
&#<&<&C

L!
A
#$&
C<&B#&
&
CB!B&<&N
&#
?!?#&
IOIKI<&!?&
N
&#
+<

@$
L&
<&B#&
&
CB!B&?#<N
&#
+?#&
#I
MP!@

@!
)
&L

A)&=L

A)<&!$B<
&)!$!(

C
<&!<&&!&Q6!@@
?&$I
J<
&<

@$L&
&$
R!$B
!?!(ISQ65TUQV6Q67W5 5X6
6YZ V7T67[T5YYQQ\]VTTZ[656T5Y69 Q6YXQ^QT56QY
QX67YZT\
M_

$@

A`
aQT56Q[65ZT5[QQ56Y
bcd

e fcd#e
g[65ZT56Q QT5[QQ56Y
dchbijfi !ec bf
*
&
"&) k
mvj!sopqsrt buE

!
l opqrt
l bwE
eclx bcE!$fuE
l
nyi x bcE!$fwE
i
1zT[5T[QQ56Y
bcd

e fcd#e {c{
|

, 0123456 07829 5 78101 54

7!"#$% &
7!" 7!% '
#$"
()
*

+,
+
+&
-+-+%
+.
+
+&+'
-+'+-+%
/ 7!"++"+%
0)123

44 44 ; >?
67

8 &9+
+ &
6
7<8=9
8&7
<8=9?@1#7A97<8=9?
?+<+=8
5 5:
B399ACDEF DG7H9!I A7<8=9

7<8=98&7<8=9>J
;
K
2L

N P
G18769
M6
OO6
8OO6&8OO6'
87H7L9
MQL
OOR
ST OOR&/T OOR'U
?
? Y Z ?
? NORU OR/ ORS ORU OR/ ORSP
#VW7L9
MXL
? ?
? ?
?
?
O& _ O'8 O' _ O
8 O
_ O&
[ [ [
?R[\S R[]/ R[^U?
`aL72B$87 9!7$!1W7J9JL
bRS8R/cJd39!87H7L9789e!981 87H7bRS8R/8fc91!8#VW7L97
89e!98I gOR/ ORSh
#VW7L9
#VW7bRS8R/8fc9
O
_ O& Zi
j()

4 4m ; > q
k
6+l
n 67o9p7o9p+o
4 4 4m ; > q
k
LQ+
LQr+l
L 7o9 Q7o9+o
k n
j()
10
ss2L

4
k
LQ+
67t9_67u9 7a L
M61!8v7$79!298a$ u2$t
wxyz1

r{
OOA< r|
OOA= }
r{Xr|
~1G95$a

Document information

Uploaded on: August 3, 2026
Number of pages: 8
Written in: 2026/2027
Type: Exam (elaborations)
Contains: Questions & answers

Report Copyright Violation

$15.58

Written by students who passed

Immediately available after payment

Read online or as PDF

Available in package deal

Package deal

MATH 32B – Multivariable Calculus A+ Solutions Pack (Final + Midterm 1 + Midterm 2) • UCLA – 2026 Updated

You save 11% More Info

Why students choose Stuvia

Created by fellow students, verified by reviews

Quality you can trust: written by students who passed their tests and reviewed by others who've used these notes.

Didn't get what you expected? Choose another document

No worries! You can instantly pick a different document that better fits what you're looking for.

Pay as you like, start learning right away

No subscription, no commitments. Pay the way you're used to via credit card and download your PDF document instantly.

“Bought, downloaded, and aced it. It really can be that simple.”

Alisha Student

Frequently asked questions

Can't I just make this for free with AI?

AI tools give you vast, general information. They don't know your course, your professor, or what actually gets asked in your exam. This document was written by a fellow student who understood the nuances of exactly this course and passed it. You get focused, curated study material, not a generic starting point you still have to rework.

Is this document still relevant for my course?

Every document shows the academic year, the linked textbook, and the institution, so you can check upfront whether it matches your course. Take a look at the free preview too to see if it fits.

What if the document isn't what I hoped?

No worries! If you change your mind within 14 days of purchase and have not downloaded the document yet, you will get a refund. Your purchase is completely risk-free.

Who am I actually buying from?

Stuvia is a marketplace: you buy directly from the student who created the document. Stuvia handles payment securely and backs every purchase with the free exchange guarantee, so you never take on any risk.

Will I be stuck with a subscription?

No. You pay $15.58 once for this document and nothing more. No subscription, no auto-renewal, no fine print.

What do I get when I buy this document?

You get a PDF that is available immediately after payment. You can read the document online or download it, and it stays accessible through your profile indefinitely.

Why can I trust Stuvia?

4.6 stars on Google and Trustpilot from over 2,000 reviews. In the past 30 days 32796 documents were sold through Stuvia internationally. And we have been doing this for 16 years now. Every document also shows its rating and how many times it has been sold.

MATH 32B – Spring 2025 Midterm 2 (Fully Worked A+ Multivariable Calculus Solutions) • UCLA – 2026 Updated

Content preview

Document information

More like this

Why students choose Stuvia

Created by fellow students, verified by reviews

Didn't get what you expected? Choose another document

Pay as you like, start learning right away

Working on your references?

Frequently asked questions

Can't I just make this for free with AI?

Is this document still relevant for my course?

What if the document isn't what I hoped?

Who am I actually buying from?

Will I be stuck with a subscription?

What do I get when I buy this document?

Why can I trust Stuvia?

MATH 32B – Spring 2025 Midterm 2 (Fully Worked A+ Multivariable Calculus Solutions) • UCLA – 2026 Updated

Content preview

Document information

Browse related subjects

Subjects

Why students choose Stuvia

Created by fellow students, verified by reviews

Didn't get what you expected? Choose another document

Pay as you like, start learning right away

Working on your references?

Frequently asked questions

Can't I just make this for free with AI?

Is this document still relevant for my course?

What if the document isn't what I hoped?

Who am I actually buying from?

Will I be stuck with a subscription?

What do I get when I buy this document?

Why can I trust Stuvia?