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1. Find the average velocity over the time interval [0,3] if the displacement is given by s(t)=t3-1.4t2+1.7t+5. Round your answer to two decimal places.
2. A particle moves in a straight line in such a way that the position in time is given by s(t)=t3-5.5t2+2.8t+1. Starting from time=0, when is the first time that the particle starts moving in the negative direction?
What is the linear velocity and angular velocity
What do these results indicate? How might you use this information in your practice?
if a plane can travel 470 mph with the wind and 390 mph against the wind, find the speed of the plane in still air.
A third one is added. when all three are used, it pushes 950 items in 3 minutes. How long would it take the third belt to push 950 items if it was by itself?
At noon, ship A is 100 km west of ship B. A is sailing south at 35 km/h and B is sailing north at 25 km/h. How fast is the distance between the ships changing at 16:00 h?
vectors are a profound invention. in science and technology they provide a simple model for visualizing difficult
A printed poster is to have a total area of 603 square inches with top and bottom margins of 4 inches and side margins of 3 inches. What should be the dimensions of the poster so that the printed area be as large as possible?
We know that the student has made a mistake
Let C denote the circle |z| = 1, taken counterclockwise, and use the following steps to show that By using maclaurin series for e^z write the above integral as
The manager of a weekend flea market knows from past experience that if he charges x dollars for a rental space at the flea market, then the number y of spaces he can rent is given by the equation y = 200 - 4x.
a health inspector at a restaurant will enter the kitchen and choose 5 stations to inspect from a predetermined list of
Square miles in New Mexico.
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