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a) What is a finite-state machine?
b) Show how a vending machine that accepts only quarters and dispenses a soft drink after 75 cents has been deposited can be modeled using a finite-state machine.
Suppose that in Sleepy Valley only 35% of those over 50 years old own CD players. Find the probability that among three randomly chosen people in that age group, none owns a CD player
an inverted cone of revolution whose slant height is 15 cm. holds a liter of liquid. how far from the vertex should marks be placed on the slant height to indicate 1 milliliter?
What is the relationship between exponents and logarithms? How would you distinguish between the two, using both a graph and a sequence? Explain by showing examples of each.
Show that if f:A->R is Lipschitz then it is uniformly continuous on A. Is the converse statement true? Are all uniformly continuous functions necessarily Lipschitz?
Let f be the function defined by f(x) = x + (x - 2 + |x - 2|)2. Determine if lim h→ 0 (f(3 + h) - f(3))/h exists and find its value
The dimensions of a closed rectangular box are measured as 91 cm, 68 cm, and 46 cm, respectively, with a possible error of 0.2 cm in each dimension. Use differentials to estimate the maximum error in calculating the surface area of the box.
Problem: For income x (in dollars), a particular state's income tax T (in dollars) is given by:
What is the approximate probability that x ¯ is between 9 and 9.5 when measuring for 12 intervals?
Find the line integral of f(x,y,z)=x+y+z over the straight-line segment from (2,1,4) to (1,-2,2). The answer is 4(sqrt(14)). Can you show the work.
andrews blue ribbon cars amp trucks is having a big sale. mike and don are setting up the lot. the boss gives them a
A plane flying horizontally at an altitude of 1 mi and a speed of 440 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 4 mi away from the station.
Define hλ(x) = e-λx^2 for any λ > 0. Calculate the Fourier transform h˜λ of hλ. Calculate the convolution g = hλ ∗ hµ
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