You use the equation R(t)=5sin(4piet/25) between the intervals of t=0
This is a new equation now becuase the sand is getting remove by tides but it is also getting sand for the pumping stations. To get the correct anwers u must and S(T) and R(T) like this
Y(t)=[S(t)-R(t)]+2500 becuase it started at 0 with 2500.
Find the rate at which the total amount of sand on the beach is changing at time t=4? By using the equation above your answer would be -1.909 cubic yards per hour.
For 0
Well first you make y(t)=0 the same equation on b which u find your ciritical point. Then am nat sure about the rest.....but u find where the slope is negativ and positive.
wow that was brief. you should really explain more in detailed each step. And work out the problem as you move along by using the functions. HEY Bytheway u should change the color of the letters i had to highlite to read! :S
ReplyDeleteI like
ReplyDeleteThat last question is y'(t)=0 isnt it? Because you're looking for maximums and minimums...
ReplyDeletefor part D, wouldnt you set S(t) - R(t)=2500 equal to zero?
ReplyDeletei didnt do it like that, but that seems the right way to do it