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Using the fact that 1+x = 4+(x-3), find the Taylor series about 3 for g. Give explicitly the numbers of terms. When g(x)=square root of 1+x
Check the first four terms in the Taylor series above and use these to find cubic Taylor polynomials about 3 for g.
Use multiplication of Taylor series to find the quartic Taylor polynomial about 0 for the function h(x)=(cosx)ln(1+x) evaluating the cefficients
A study was done on the accuracy of advertisements by the five types of electronics stores in a city. On each of the six days, items were randomly selected from the advertisements for each type of store and the actual price was compared to the adv..
The largest value in a set of data is 160, and the smallest value is 70. If the resulting frequency distribution is to have six classes of equal width, what will be the class interval?
Suppose that a car rental agency offers insurance for a week that will cost $10 per day. A minor fender bender will cost $1,200 while a major accident might cost 10,000.
Explain the difference between the null and alternative hypothesis. Which one can be proven in a statistical sense?
What can we say about the probability distribution of x? Is it approximately normal? What are the mean and standard deviation?
Solve by completing the square: Solve using the square root property:
X2 is college board score (range 200-800). Use the multiple regression equation to predict college gpa for a high school gpa of 3.6 and a college board score of 600.
A study of the time spent shopping in a supermar- ket for a market basket of 20 specific items showed an approximately uniform distribution between 20 minutes and 40 minutes. What is the probability that the shopping time will be:
A noted psychic was tested for ESP. The psychic was presented with 400 cards face down and asked to determine if each card was marked with one of four symbols: a star, cross, circle, or square. The psychic was correct in 120 cases. Let p represent..
The mean amount of a purchase at the Smith Hardware store is $23.50 with standard deviation of $5.00. The amounts purchased follow normal distribution.
Test the hypothesis that the annual incomes of corporate trainers in areas of more than 500,000 are significantly more than those in areas of less than 100,000.
Conduct the equivalent, nonparametric test of hypothese using the five-step process. Do the following teams average a salary of 70 million dollars a year or less?
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