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1. Write a general term for the sequence, if one exists, assuming a domain starting with n = 1.
3, 8, 15, 24, 35, 48....
2. compute the sums indicated.
i=1∑5 (i+1)/(i2+i) 3. find the sum if the series converges.
n=0∑∞ 2n/(n+2)
4. Find the Taylor polynomial of degree n approximating the given function near x = 0. Using a graphing utility, sketch the given function and the Taylor approximation on the same coordinate system.
y = 1/√1+x, n=3
y= x ln(x+1), n=3
5. find the Taylor polynomial of degree n near x = a for the given n and a.
y = sinx, a= Π, n=5
y = x1/3, a= 1, n=4
5. find the Taylor series polynomial of degree at least four which is a solution of the boundary value problem.
f'(x)= (1+xy), f(0)=1.
Find the maximum rate of increase at P.
Calculate the coefficient of determination
in 2002 shool had 236 students in 2001 thay had 214. to the nearest tenth what was the percent of change in the number of students.
The Four Stars has aftertax income of $62,000 for the year just ended. The company has a residual dividend policy and a target debt-equity ratio of .5. The firm wants to invest $89,000 in a new project. How much new borrowing will be required?
When are the Poisson and negative exponential distributions used and What are the advantages and limitations of simulation models?
A circular sector with radius r and angle theta has an area . Find r and theta so that the perimeter is smallest when A=2 and A=10.
An apple orchard has an average yield of 32 bushels of apples/tree if tree density is 24 trees/acre. For each unit increase in tree density, the yield decreases by 4 bushels/tree. How many trees should be planted in order to maximize the yield?
Question is about a theater who sells 2 sizes of popcorn. The micro box has the dimensions of 2,4 and 6 inches. The jumbo box has the dimensions of 4,8 and 12 inches.
Russ, Don, Pamela, and Stephanie are the first names of four friends who all received sports scholarships. Krieger actually has a full ride, because he is a star in two different sports. Use the clues to determine each person's full name.
today merkel amp sons deposited three checks for 510 690 and 420 respectively. these checks will be added to the firms
In a second grade class containing 12 girls and 10 boys, 2 students are selected at random to give out the math papers. What is the probability that the second student chosen is a boy, given that the first one was a girl?
1. m mod n will have values ranging fromnbsp 0 to n-1.nbspnbspnbspnbspnbspnbspnbspnbsp t or f2. -39 mod 5 and -38 mod
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