March 7, 2017
A peek at parametric equations
x(t)=t+1
y(t)=2t-6
March 7, 2017
One more, just for fun!
To eliminate the parameter
begin with a Trig ID....
substitute:
March 7, 2017
Now back to your regularly
scheduled programming....
March 7, 2017
Related Rates (Day 1)
1) Differentiate:
2
(x is independent variable, y is dependent):
2
3
x - 3xy + y = 10
Differentiate
2
(t is independent variable, x and y are dependant on t):
2
3
x - 3xy + y = 10
March 7, 2017
2
2) A point travels around the circle with equation x
Find
when
a) at (-3,4)
b) at (3,4)
c) at (0, 5)
+ y2=25
March 7, 2017
A rock is dropped into a pond, causing circular ripples
r=2in
r=3in
r=4in
C=12.57in
C=18.85in
C=25.13in
A=12.57in2
A=28.27in2
A=50.27in2
March 7, 2017
3) A rock is dropped into a pond causing circular
ripples. If the radius of the ripple is increasing at
5cm/sec, how quickly is the area of the circle
changing when the radius is 20 cm?
March 7, 2017
4) How fast does the radius of a spherical soap bubble
change when air is blown in at a rate of 10cm 3/sec?
a) when r=2 cm?
b) when r=10 cm?
March 7, 2017
2.6 HW: Pg. 154 #5, 19-21
March 7, 2017