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=
+=
+=
+=
=