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consider the differential equation:
dN/dt = 1-N
a) Sketch a graph of dN/dt versus N.b) Determine any equilibrium solutions, and classify as stable or unstable.c) without solving the differential equation, determine what can be expected to happen eventually to N if the initial condition is N(0)=2.
One of the 4 bus drivers is also randomly selected. Let Y denote the number of students on his bus. Compute the expectations of X and Y:
If the current levels of input are x = 10 and y = 20, use calculus to estimate the change in input y that should be made to offset an increase of 0.5 in input x so that output will be maintained at its current level.
which station is really selling the cheaper gas and how much cheaper is that gas?
A conical water tank with vertex down has a radius of 10 feet at the top and is 29 feet high. If water flows into the tank at a rate of 20 {rm ft}^3{rm /min}, how fast is the depth of the water increasing when the water is 13 feet deep?
If we draw one card from a 52 card deck, what is the probability that it is red? That it is a diamond? That it is an ace? That it is the ace of diamonds? Find Gambling Probability
a printing press has a roller 22 inches in diameter. A point on the roller's surface moves at a speed of 109 feet per second. What is the roller's angular speed?
Which is the most economical purchase?
A buoy oscillates in simple harmonic motion y = A cos omega(t) The buoy moves a total of 3.5 feet (vertically) from its low point to its high point. It returns to its high point every 10 seconds.
Probability of Coins Drawn, Suppose you have 6 nickels, 4 dimes, and 2 quarters in your pocket. If you draw a coin randomly from your pocket, what is the probability that
A machine produces bolts with an average diameter of 0.30 inches and a standard deviation of 0.01 inches. What is the probability that a bolt will have a diameter greater than 0.32 inches? Assume the distribution is normal.
Please describe the following: How do you find the length of the hypotenuse of a triangle?
find the probability that the airline will have a seat for each person who has reserved one and who shows up
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