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a) Write the taylor series expansion about x = 0 for f(x) = ln(1+x). Include an expression for the general term.
b) Find the radius of convergence for the series in part a). Justify your answer.
c) Estimate the error in evaluating ln(3/2) by using only the first five nonzero terms of the series in part a). Justify your answer.
d) Use the result found in part a) to determine the logarithmic function whose Taylor series is the sum from n=1 to infinity of ((-1)^(n+1)x^2n)/(2n)
Probability Distribution Function. Suppose that the number of pounds of grapes sold by the Smalltown Co-op grocery store in a day is equally likely to be anywhere between 0 and 100 pounds (fractional values are possible)
Define Queuing and Process Simulation Modeling. Michael's Tire Company performs free tire balance and rotation for the life of any tires purchased there on a first-come, first-served basis
Let A = {1, 2, 3, 4, 5, 6,12} and define the relation R on A by m R n iff m|n. Show that this relation is a partial ordering relation. Draw its Hasse diagram.
What proportion is between 150 and 140 centimeters
A large cube is 2 feet on each edge. How many cubes - one inch on each edge- will it take to fill the large cube? If the base of a triangle is increased by 20% and the altitude to that base is decreased by 40% then by what percent is the area chang..
Given the situation described, identify the type of sampling involved. A fraternity assigned an ID number to each of its current pledges.
Bob deposits quarters and dollar bills into a vending machine to buy snacks. Find a recurrence relation for the number of ways he can deposit 25*n cents into the machine if the order matters.
A company is constructing an open-top, square-based, rectangular metal tank that will have a volume of 46.5ft^3. What dimensions yield the minimum surface area? Round to the nearest tenth, if necessary.
Solve the given triangle.
A toy making company has at least 300 squares of felt, 700 oz of stuffing, and 230 ft of trim to make dogs and dinosaurs. A dog uses 1 square of felt, 4 oz of stuffing, and 1 ft of trim. A dinosaur uses 2 squares of felt, 3 oz of stuffing, and 1 f..
Correctly match each of the following descriptions to a graph below by inserting the letter of the description that correctly describes the graph in the open box under the graph. The graph has both an Euler circuit and a Hamilton circuit.
Where did the 2.65 come from? Almost all calculators will calculate the value of a number raised to a power. If you don't know how to do it on your calculator, get out the instruction book. Or find a scientific calculator online -- there are plent..
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