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an airplane is flying at an elevation of 6 miles on a flight path directly over a radar tracking station. If S, the distance between the radar stattion and the plane is decreasing at the rate of 400 mi/hr when S is 10 miles, what is the velocity of the plane?
Using the definition of a measurable function, show that any constant function is measurable. Definition of a measurable function: the function f is measurable on the interval [a,b] if for all c in R, the set {x in [a,b] : f(x) >c} is measurable.
For an electric circuit, let V=cos 2pi(t) model the electromotive force in volts at t seconds. Find smallest positive value of t where 0
A bacteria population starts with 400 and grows at a rate of r(t)=(450.268)e^(1.12567t)bacteria per hour. How many bacteria will there be after 3 hours ?
List the coordinates of any two points on the graph in (x, y) form. The numbers on the horizontal axis are 0.5, 1.0, 1.5, 2.0, 2.5, 3.0, 3.5, and 4.0.
Important information about Probability and Statisics. Find the probability that a randomly selected adult has an IQ between 90 and 110
A FLOC (Farm Labor Organizing Committee) evaluation of 25 Mexican family units reveals a mean to be $30,000 with a sample standard deviation of $10,000. Does this information disagree with the United Nations report? Apply the 0.01 significance lev..
Describe an example of a data set that cannot be represented by a tree, but that be represented by a more general graph. Explain why it cannot be represented by a tree.
The actual demand of a product in period 1 through 3 are 285, 229, 309 units, respectively. Find the forecast of demand in period 4 using the exponential smoothing model with a smoothing constant of 0.41. The forecast demand for period 1 was 302 u..
What is the difference between prime numbers and composite numbers? How are prime numbers and composite numbers related? Prime numbers are often used in cryptography.
The total cost of the fencing along three sides comes to $1950. What are the lot's dimensions?
Write a differential equation for the total quantity of dead leaves (per square centimeter) at time t.
Exponentials depending on the random variable
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