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Evaluate the integral by completing the square and using the following formula. (Remember to use ln |u| where appropriate.)
integral 13dx/(x^2-14x)
Find the length of the sides parallel to the store and perpendicular that will maximize the total area of the outdoor enclosure.
Calculate the value the test statistic
Determine the domain and the range of the function
Root test for convergence of geometric series and evaluate the interval of convergence of a power series.
Form each of the following: Plot the graphs of the equations you created:
One of the most famous unsolved problems in mathematics is a conjecture made by Christian Goldbach in a letter to Leonhard Euler in 1742. The conjecture made in this letter is now known as Goldbach's Conjecture. The conjecture is as follows:
0 2 4 1 3 5 (imagine the vertical sets of numbers are surrounded by a large parenthesis, as it is in a binomial expression)
Explain, in your own words, the product rule of exponents. Why does it work? Give examples. Please use a problem from page 412 #'s 27 - 38 or page 413 #'s 51 - 56, 101 as your example for this question. Please try to avoid using a problem someone ..
The magnitude and direction of vectors u and v are given. Find vector w's polar coordinates.
What is the difference between a scatter plot and a line graph? Provide an example of each. Does one seem better than the other? In what ways is it better?
describe the steps neccessary to calculate the theroretical probability of, drawing 2 red cards one after another (with replacement)from a given deck
Show that the curve with parametric equations x=sin(t), y=cos(t), and z=sin^2(t) is the curve of the surfaces z=x^2 and x^2 + y^2=1. Use this fact to help sketch the curve.
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