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
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