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Show all of your work and reasoning. Remember to check the endpoints!
1. Find the radius of convergence and interval of convergence for
n=1Σ∞xn/√n
2. Find the radius of convergence and interval of convergence for
n=1Σ∞(x - 2)n / (n2 + 1).
3. Find the radius of convergence and interval of convergence for
n=1Σ∞xn/ 1·3·5·...·(2n - 1).
If x is an element of a group and x is of order n then the elements 1, x, x^2,...x^n-1 are distinct (don't know how to show this!). Let Y= Y here is a group show
after linda spent 25% of her saving on her tour, she had $4200 left in her savings account. how much savings had linda at first?
Calculate the mean and standard deviation. What percentage of data lies in the interval μ ± σ ? In the interval μ ± 2σ ?
A poster is to have an area of 150 in2 with 1 inch margins at the bottom and sides and a 5 inch margin at the top. What dimensions will give the largest printed area?
A cup of coffee at 181 degrees is poured into a mug and left in a room at 66 degrees. After 6 minutes, the coffee is 139 degrees. Assume that the differential equation describing Newton's Law of Cooling is (in this case) dT/dt=k(T-66).
Find the point on the line y = 3x + 3 that is closest to the origin. (Give your answers correct to three decimal places.)
Use the Generalized Power Rule to find the derivative of the function.
Find the minimum and maximum of P = 7x + 4y subject to
Using the washer method, find the volume of the solid generated when the region bounded by the curves y=(square root of)x and y=x^2 is revolved about the x-axis.
In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?
Suppose the Environmental Protection Agency (EPA) would like to investigate the impact that octane has on gas mileage. The following table shows the gas mileage for six cars that were driven 1,000 miles with three different grades of gasoline: 87,..
A motorboat travels 255 mi in 3 hours going upstream and 540 mi in 4 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?
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