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Worker efficiency. In a study of worker efficiency at Wong Laboratories it was found that the number of components assembled per hour by the average worker t hours after starting work could be modeled by the formula
N(t) = -3t3 + 23t2 + 8t.
a) Rewrite the formula by factoring the right-hand side completely.b) Use the factored version of the formula to find N(3).c) Use the accompanying graph to estimate the time at which the workers are most efficient. d) Use the accompanying graph to estimate the maximum number of components assembled per hour during an 8-hour shift.
Suppose the tank is empty. Both inlet pipes are running at full force. The drain pipe is open. When the tank is half full, the drain pipe is closed.
Find all the xed points, and study their stability and Draw the phase portrait of the system, as well as the graphs of the solutions in all relevant cases.
Using the same data conduct a correlation analysis using SPSS or Excel. What is the correlation coefficient? Is it a strong, moderate or weak correlation? Is the correlation significant or not? If it is what does that mean?
Use the simplex method to determine the optimal production schedule so as to maximize profits. Show that the geometric method gives the same solution.
Please prove the following theorem: A system of linear equations has zero, one or infinitely many solutions; there are no other possibilities.
determine the extreme value of f(x,y) on 0
A balloon rises at a rate of 4 meters per second from a point on the ground 50 meters from an observer. Find the rate of change of the angle of elevation of the balloon from the observer when the balloon is 50 meters above the ground.
State null & alternative hypotheses
A kite has a string of 500 ft. long. If the string makes an angle of 52 degrees with the ground, what is the height of the kite to the nearest foot?
In Calculus: Explain the difference between a function and a relation in your own words. Consider the equation x2 + y2 = 5 and explain why you believe it's a function or not? Give at least two reasons to support your answer.
Find the distance of the ship from the lighthouse.
Evaluate the Area of under one arch of a cycloid using its integration
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