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1.) Differentiate these functions.
a.) (sqrt(x)+1)/(x^2)
b.) 3^x (cubedroot of (x+5)) - ((ln(x))/sqrt(x))
2.) Consider the function f(x)= x^3- (1/2)x^2 - 4x + 5
a.) find all critical points of 'f '.
b.) Does 'f ' have an inflection point? Explain your answer.
c.) Determine the intervals on which 'f ' is concave up and the intervals on which 'f ' is concave down.
d.) Find the values of all local minima and local maxima of 'f '. Explain why each value you find is a minimum or a maximum.
e.) Find values of the global maximum and global minimum of 'f' over the interval [-20,20]
draw a Venn diagram showing the overlapping sets A and B and fill in the probabilities of the four regions formed. b. find the probability that A occurs but B doesn not.
What is the probability that a completely unprepared student answers correctly. Solution to "Binomial Distribution" question
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Determine the type I and type II error
I want to prove that a population mean is not 150. Use an alpha of 5 percent & set up the full, detailed, five step hypothesis test. Suppose when the sample 200 is taken the sample standard deviation is ten & the sample mean is 151.77.
Let X be a subset of R, let E be a subset of X, let x_0 be an adherent point of E, and let f: X-->R, g: X-->R, h: X-->R be functions such that f(x)
Express logarithm into exponential form and solve logarithmic equation and solve the log 4 2 = 1/2 in exponential form.
Test whether there is negative correlation between math skill and English skill using Spearman's rank correlation coefficient
An absent-minded nurse is to give Mr. Brown a pill each day. The probability that the nurse forgets to administer the pill is 2/3. If he receives the pill, the probability that Mr. Brown will die is 1/3.
Calculating Production and Material Consumption Rates, The Ottawa Coat company manufactures winter coats and spring jackets. The winter coat requires 4m of material while the spring jacket requires just 1m
Please give a short answer as to why the following is true: Let p(x) = Ax^ 2+ Bx + C. For any interval [a,b] the value of c guaranteed by the Mean Value theorem is the midpoint of the interval.
Complete the table above so that you can show the Jackson's what their expected payoff is.2. Assuming that they have this $10,000 currently invested in low yield market funds that at the end of 3 years will be worth $12,200, Probability and Expecte..
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