100% satisfaction guarantee Immediately available after payment Both online and in PDF No strings attached
logo-home
Previously searched by you
Previously searched by you
logo
Summary Notes for Related Rates problems from differential calculus (MATH 184, UBC) CA$20.97   Add to cart
Quickly navigate to
Preview
  2.  
  3. University Of British Columbia (UBC )
  4.  
  5. Economics
  6.  
  7. MATH 184

Summary

Summary Notes for Related Rates problems from differential calculus (MATH 184, UBC)
 42 views  0 purchase

Every possible type of related rates problem that may appear on your exam has been worked through in this document. Very helpful because it shows what type of approach you should take when faced with these difficult types of problems which take many forms. Includes:

Preview 2 out of 13  pages

Document information

  • Yes
  • January 12, 2021
  • 13
  • 2020/2021
  • Summary

Subjects

Connected book

book image

Book Title:

Author(s):

  • Edition:
  • ISBN:
  • Edition:

More summaries for

All for this textbook (109)

Written for

All documents for this subject (4)

Seller

avatar-seller
keeritpooni

Reviews received

Content preview

Water is leaking out of a conical tank At 500 cm³/min. The tank has a height of
24 cm and a radius of 6 cm. Find the rate at which water is being poured into the
tank if the water level is rising at 15 cm/min when the height of the water is 9cm.

SMU the water level
dh
is
rising ,




• DI IS the rate level
=
that enters
of water

Into the tank exceeds the rate
h=q
H of water that leaves the tank
H =
24
& r 6 E
notice ratio between
height 4: I
=
radius =




24
a h=4r 24=416)
r
-

-
I V= 's Trh f- It #12h
4

Oo V =
'T IT h


ddtf Igt
'
V h
Ig
=

= .


3h 2. DI
dt



du
Te
=
Tig °
IT .
3195 .

lls )



# =
V' in -
V' out
d¥ =
IT .
1215

16

✓ DI
'

out =
-
500 = 238.56
dt




238.56 =
Vin -
500


V' in = 738.56




Simultaneity
'
Water
'
is
being poured In @ rate of 738.56cm Im in 1h ,


500cm Im in flows So tank 238
'
out net of 56cm Im in
.
,
gains a .

, A 13 feet ladder is leaning against a house. The ladder slides down the wall at a rate
of 3 ft/min. How fast is the ladder moving away from the base of the wall when the
foot of the latter is currently 5 ft from the wall?
Y ? 52
' ' '


of
=
y ez t

y 13 12
+
y
-

-_ =
=




1=13




µ
X=s If =-3
FI = ? =-3
'

Ii = ?



⇐ Cx
Y

-15=11*91%17.7 : !÷:
.


shame .




2x .


II t
2g It
. =
0 215 ) .IE ,
+2112) .
-

3=0
5

×
10 -



II -

72=0 fit =
351=7.2 ftlmin



How fast is the area of the triangle changing?

Area D=
of BIH
⇐ ( A- ( Xy)
'

X. y
) (2) (
Xy) 121
'

A-
-




= =

-2 .
2


# ' 2)
=¥igt¥;¥H= Its 35¥
3)
IF
' ' -




= =
35.7 =




How fast is the angle between ladder and the ground changing?
* Hottel 'm't # in
(
'
.




SOH




#
FAH TOA =o+ He )

l Sth
-
-

tf I -
-



Ft( Sino F ) -

-




13 O

my coso.IT?-- f. fit ¥ .
=
( Ee)
need to find O

⑦
TIA 5 daff
- =

Cos @
=f=E
5 (5/13)
'
O COS
-


=




}
0=67.380
×
d§
-




=
radians linin
,

The benefits of buying summaries with Stuvia:

Guaranteed quality through customer reviews

Guaranteed quality through customer reviews

Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.

Quick and easy check-out

Quick and easy check-out

You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.

Focus on what matters

Focus on what matters

Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!

Frequently asked questions

What do I get when I buy this document?

You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.

Satisfaction guarantee: how does it work?

Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.

Who am I buying these notes from?

Stuvia is a marketplace, so you are not buying this document from us, but from seller keeritpooni. Stuvia facilitates payment to the seller.

Will I be stuck with a subscription?

No, you only buy these notes for CA$20.97. You're not tied to anything after your purchase.

Can Stuvia be trusted?

4.6 stars on Google & Trustpilot (+1000 reviews)

60434 documents were sold in the last 30 days

Founded in 2010, the go-to place to buy study notes for 14 years now

Start selling
CA$20.97
  • (0)
  Add to cart