Worksheet 5A and 5B selected related rates problems!

Unit 4 Worksheet 5A #5

Dana &

Erica

Y=90

dt

dy =0

X=120

dt

dx =5

c=150

dt

dc=?

120

90150

15090222

222

=−=

=+

x

x

x

222 cyx =+

sftdt

dcdt

dcdt

dcc

dt

dyy

dt

dxx

/4150/600

150)0(90)5(120

==

=+

=+

KATE & GLENN

Unit 4 Worksheet 5A #7

Y=50

dy/dt=8

X=150

Dx/dt=0

Dc/dt=???????

C=?

2

2

222

222

25000

225002500

50150

c

c

c

cba

=

=+=+

=+

dt

dcsft

dt

dcdt

dcdt

dcdt

dcC

dt

dyY

dt

dxX

=

=

=

=+

=+

/.53.2

25000

400

25000400

25000)8(50)0(150

Benjamin &Caroline

Unit 4 WS 5A #8

Y=7miles

dy/dt=0C=10 miles

dc/dt=300 mph

x=? dx/dt=?

mphdt

dxdt

dxdt

dcc

dt

dyy

dt

dxx

x

x

cyx

08.420

)300(10)0(751

51

100492

222

=

=+

=+

=

=+=+

David.R and Kevin.M and Miss Schmucker’s corrections!

Unit4 Worksheet5bProblem #15

DV/Dt= 8ft^3/sR= 6ftH total= 12H water= 4ftDh/Dt=?

Proportion &Equation

hr

h

r

hrV

2

112

6

)3/1( 2

=

=

= π

sftDt

DhDt

Dh

Dt

Dhh

Dt

Dhh

Dt

Dv

hV

hh

V

hh

V

/637.

4

)4(8

412

3

12

43

1

23

1

2

22

3

2

2

=

=

==

=

=

=

π

ππ

π

π

π

Unit 4 Worksheet 5B Problem #16

Tara & Michaela

?

10

/3

=

=

=

dt

dA

st

sftdt

dr

sftdt

dAdt

dAdt

drr

dt

dA

rA

/49.565

)3)(30(2

2

2

2

=

Π=

Π=

Π=

ftr

ssft

r

30

10/3

?

=•

=

Related Rates Worksheet 5b #17

Cris and Matt

?

min/15

9

=

−=

=

dt

dV

cmdt

dr

cmr

min/14.268,15

)15()9(4

4

3

4

3

2

2

3

cmdt

dVdt

dVdt

drr

dt

dV

rV

−=

−Π=

Π=

Π=

Unit 4 Worksheet 5B #18

Katie and Kyle and Miss Schmucker’s additions!

h=14 cm

b= 6 cm

?

3

=

=

dt

dAdt

db

New h=14+3(10)=44 cm

New b= 6+2(10)=26 cm

scmdt

dAdt

dAdt

dA

hdt

db

dt

dbb

dt

dA

bhA

/83

4439

44)2(2

13)26(

2

12

1

2

12

1

2=

+=

+=

+=

=