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1. Each of the following functions has a removable discontinuity at x = 2. How would you define f(2) tin order to make f(x) continuous at x = 2?
a. f(x) = (x3 - 8) / (x2 - 4)b. f(x) = (x2 - x - 2) / (x - 2)
2. Give an example of a function with a removable discontinuity, a function with a jump discontinuity, and a function with an infinite discontinuity.
Suppose that when L= 30 and K=8, the labor force is decreasing at a rate of 2000 labor hours per year and capital is increasing at a rate of $500,000 per year. Find the rate of change of production.
How many different passwords can be formed? b) How many different passwords have no repeated number or letters?
Inquiries of the Poisson Portal interactive query system arrive at the central computer in a Poisson pattern at an average rate of 13 inquiries per minute.
Design a logical parity checker circuit: The circuit receives 3-bit data input (a2, a1, a0)and produces 1-bit output "y" which represents the parity of the input data. The outputshould be equal to zero if the number of ones in the input data is even,..
What is the probability that more than 10 dogs have trait D? B. What is the probability that at most 11 dogs have trait D? Binomial Distribution and Standard Deviation
The number of miles driven each day for a five-day trip. Let an ordered pair be given in the form (day, miles).
in a study of heart surgery one issue was the effect of drugs called beta-blockers on the pulse rate of patients during
Examples of the product rule of exponents: Sometimes when students see the rule they want to write it as 4^2 + 4^3 = 4^5. Can you explain why this does not work?
there are 24 families living in the willbrook farms development. of these families 12 prepared their own federal income
To analyze the winning times for the Olympic Mens 400 Meter Dash using a linear model - Find the line of best fit (regression line) and graph it on the scatterplot. State the equation of the line.
Write an essay that explores some of the statistical data that has been found in this area of study pertaining to the Flynn effect
Discuss the concept of the derivative of a function.
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