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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.
350 million test are expected to be sold this year. this represents 114% increase from last year. how many test were sold last year?
Show the proportions that you could have used to solve for exercise #3 and #4. Let's say it takes 3000 cows to make enough footballs for one season of the NFL. If the NFL decides to make the official football a bit larger so that it now takes 3400 ..
Suppose that you are dealt a hand of 9 cards from a standard deck of 52 playing cards. What is the probability that you are dealt exactly 3 kings? What is the probability that you are dealt 9 cards of the same suit?
Let E and F be non-zero-probability events. If E and F are mutually-exclusive, can they also be independent?
A control system has a time constant, τ ( = 1/t)), where t satisfies the equation 10e-2t = 2Sin2t + 3. Show that this equation has a solution between t = 0 and t = 1.
Give a real-life example of a situation in which you would use a system of inequalities, and for which the solution must be in the first quadrant.
Let S={1,2,3,4,5,6,7,8}. Test the following binary relation on S for reflexivity, symmetry, antisymmetry, and transitivity
For what values of k is the origin a hyperbolic equilibrium point of the system ? In this case, classify it as a sink, source or saddle. For what values of k is the origin a Non-hyperbolic equilibrium point of the system ? In this case, determine..
A ball thrown vertically upward at time t=0(s) with initial velocity 80 ft/s and initial height 96ft and height function of y(t) = -16t^2 + 80t + 96. What is the max height attained by the ball?
A company is producing cylindrical blocks for a children's toy. The average diameter of a block is 3.5 inches. Sixteen blocks are inspected and the diameters are measured. The standard deviation is estimated to be 0.02 inches.
A hot metal bar is submerged in a large reservoir of water whose temperature is 60 degrees F. The temperature of the bar 20s after submersion is 100 degrees F. After 1 minute, the temp has cooled to 80 degrees F.
Applications of exponential function: Principal, rate, time - evaluate an exact solution and the check your solution using the estimate of the "law of 72".
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