Riemann Sums (word problems)

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Presentation transcript:

Riemann Sums (word problems)

The formula for velocity of an airplane is given by What is the airplanes position at t=1, if you know x(0)=5.

position velocity acceleration and let’s talk about what integration and derivatives do to the units of a function

Estimate using midpoint sums and two subintervals An aquarium is being filled with a water hose that decreases in power as the aquarium is being filled. You can see the rate at which the aquarium is being filled at different times below. time (min) 10 20 30 40 50 ROC (gal/min) 35 31 28 26 25 Remind them they may use unequal bases. And do an estimate of f’(15). Find out how filled up the aquarium will be at 50 minutes using the trapezoid method of approximation, if at t=0 there was already 2 gallons in the aquarium. Estimate using midpoint sums and two subintervals