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1.) Use residues to evaluate the improper integral from 0 to infinity:
1 / (x^2 + 1)^2 dx
2.) Use Jordan's Inequality to evaluate the improper integral from -infinity to infinity:
(x^3 sin ax) / (x^4 + 4)
Evaluate the equations of the tangent lines to the graphs of f and g at the critical number found. Graph the tangent lines. What is the relationship between the lines?
What is the probability that an arriving plane will find at least one other plane waiting to land? Calculate the average time it takes a plane to land and clear the runway once it has notified the airport that it is in the vicinity and wants to lan..
If a ball is thrown into the air with a velocity of 40ft/s, its height in feet after "t" seconds is given by y = 40t-16t^2. a) Find the average velocity for the time period beginning when t=2 and lasting
Simpson's scheme - Matlab, Evaluate the following with Simpson's scheme: 4 times the integral from 0 to 1 of 1/(1+x^2) and 8 times the integral of
Coal company's condition, Norfolk, Virginia, a major seaport on the East Coast, has a ship coal loading facility. Coal trucks filled with coal presently arrive at the port facility at mean rate of 149 per day (Poisson distributed).
Choose h and k such that the system has (a) no solution, (b) a unique solution and (c) many solutions.
Sketch the Graph of y = cosx in the range -Pi
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?
What is the probability that the mean of a random sample of size n = 4 of tire lifetimes will be less than 20,000 miles?
Find an example, of the BMI between man/woman and estimate a best fit line graphically. Develop an approximate linear model using the point slope form, the slope-intercept form or the standard form line.
If the solution to an equation is imaginary or irrational, it takes a bit more effort to check. Replace x by each given number to verify the following statement.
There are six sections of Math with a total enrollment of one hundred and ninety nine students, what is the smallest possible number of students in the section with the largest enrollment?
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