2.7 Related Rates
6x. Suppose x and y are both functions of t:
x = x(+) and
y=ght)
Let's clos suppose y² = x²
Q: What is when x=2, y = 4, and for-
y=4,
do
=3
dr
dt
# (y ³) = (x+4)
d
Gx. Suppose
JF
骤
= 434x
Ay 4x3 dx
弊
342
by 4127(3)
3(412
(321(3)
48
=
96
78
1=2
feet
you stand 3000 foot from
rocket launch. Suppose the rocket is rising
verticaly @ 900ft/sec when it is gooff
off the ground.
6) How fast is the raket moving away from you at
that moment?
Z
x=30soft
Represe What is 1/2 when
y=4000 $414-900, y = 4000, and 3582>
2
3000 2b y² = z²
+(300² + y²) = (24) (2002)" doo)"=22
f
2y + = 22 d
紫
2(9000)(900)=2(5000) +
7200000 = 10000
7200000
10000
गू
dz
(4000)² 2²
{5000)
M
dz
720=
6x. Suppose x and y are both functions of t:
x = x(+) and
y=ght)
Let's clos suppose y² = x²
Q: What is when x=2, y = 4, and for-
y=4,
do
=3
dr
dt
# (y ³) = (x+4)
d
Gx. Suppose
JF
骤
= 434x
Ay 4x3 dx
弊
342
by 4127(3)
3(412
(321(3)
48
=
96
78
1=2
feet
you stand 3000 foot from
rocket launch. Suppose the rocket is rising
verticaly @ 900ft/sec when it is gooff
off the ground.
6) How fast is the raket moving away from you at
that moment?
Z
x=30soft
Represe What is 1/2 when
y=4000 $414-900, y = 4000, and 3582>
2
3000 2b y² = z²
+(300² + y²) = (24) (2002)" doo)"=22
f
2y + = 22 d
紫
2(9000)(900)=2(5000) +
7200000 = 10000
7200000
10000
गू
dz
(4000)² 2²
{5000)
M
dz
720=
