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1.) Mean Value Theorem: Let f(x)= x ln x
a.) Write an equation for the secant line AB where A= (a,f(a)) and B= (b,f(b))
b.) Write an equation for the tangent line that is parallel to the secant line AB.
2.) Approximating functions: Let f be a function with f'(x)= sinx^2 and f(0)= -1
a.) Find the linearization of f at x=0
Give five interesting facts about group theory (or tensor calculus). Each one need only be 1 to just a few sentences - please list separately and under each fact provide any links to websites or pictures etc.
Suppose there are 90 small towns in a country. From each town there is a direct bus route to at least 50 towns. Is it possible to go from one town to any other town by bus possibly changing from one bus and then taking another bus to another town?
Find the best unbiased point estimate for the population mean weight of the packages received by the parcel service.
Apply Chi Square test of independence to test whether there exists any association between two variables.
A stack of 12 papers contains three "A" papers. If three papers are selected, what is the probability
Question about Probability and combinations, There are 5 rotten plums in a crate of 25 plums. How many samples of 4 of the 25 plums contain
An electric charge is distributed throughout 3-space with density inversely proportional to the distance from the origin. Show that the total charge inside a sphere of radius R is proportional to R^2.
Hypothesis testing for single mean.
Calculate the probability that the rent of a randomly selected unit.
Evaluate formulae for the coefficients -Hint: Use the linear transformation
What hypothesis testing model (my "models" handout) would be used under each of the following conditions. Use the "model number" from my handout if you wish. By line the information given in each cell is: Level of measurement, number of groups, sam..
Use a worksheet to simulate the rolling of dice. Use the VLOOKUP function to select the outcome for each die. Place the number for the first die in column B and the number for the second die in column C
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