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Let f (x) = |x| for x greater or equal to -1, less than or equal to +1
a) Write the Fourier series for f (x) on [-1,1].
b) Show that this series can be differentiated term by term to yield the Fourier expansion of f'(x) on [-1,1]
c) Determine f'(x) and write it's Fourier series on [-1,1]
d) Compare b and c.
The average time taken to produce a part at Factory A is 10 minutes. Given this, find the following probabilities. The probability that at least three minutes is taken
Calculate the break-even product value of using Express Mail (overnight delivery) versus Parcel Post (three-day delivery) for sending a package from Peoria, Illinois to Memphis, Tennessee.
Suppose u(x, y) and v(x, y) are harmonic in a region under? Under what condition is the product u(x, y) . v(x, y) harmonic? In particular, when is (u^2)(x, y) harmonic?
Write a function for your profits for each price you charge. This is done by multiplying (P-.5) times your function (y= -100x + 250). I.e. if your function is Cups Sold = 1000 - 100P, your profit function would be (P - .5)*(1000 - 100P).
Mutually Exclusive events, Probabilities, and Binomial Distribution. Use the frequency distribution below to answer questions 13-17. The number of school-related extracurricular activities per student.
Drawing at least one black card when you draw a card from a standard deck 6 times, replacing the card each time you draw so that there are always 52 cards in the deck.
Suppose that the weight (in pounds) of an airplane is a linear function of the total amount of fuel (in gallons) in its tank. When graphed, the function gives a line with a slope of 6.4.
What is the markup percentage for a box of ginger tea and create the formula that will give you the ginger tea markup percentage.
Find the center of mass of the lamina bounded by y = x^2 and y=2x and the density is ?(x,y) = xy.
Alice's Restaurant has a total of 205 seats. The number of seats in the non-smoking section is 73 more than twice the number of seats in the smoking section. How many seats are in each section? Please show work.
Determine the coefficient of determination. Interpret its value.
Seven women and nine men are on the faculty in the mathematics department at a school. How many ways are there to select a committee of ?ve members of the department if at least one woman must be on the committee
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