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Consider the function f(x)=x/(ex-1)+x/2.
(a) f has a so-called "removeable singularity" at x=0, where it is (so far) undefined. What value should we assign to f(0) to make f continuous at x=0?
(b) With this taken care of, f actually has a Taylor series about x=0. Find the first 10 terms or so of this Taylor series (use CALCULATOR/MAPLE)
(c) What pattern do you notice in the degrees of the terms in the Taylor polynomials?
(d) Prove the property that you noticed in (c).
a soft-drink manufacturer has been supplying its cola drink in bottles to grocery stores and in cans to small
Specify the equation of the oblique asymptote to the graph, and the co-ordinates of all points, if any, where the graph crosses this asymptote.
Estimate the slope.
Problem on age
Solve the algebra equation
VL = $85,583.33 + .35(.50)(VL) how do i solve for VL?
Company reports the following operating results for the month of August: Sales $350,000 (units 5,000); variable costs $210,000; and fixed costs $90,000. Management is considering the following independent courses of action to increase net income.
She puts $2000 into an account that earns 2.5% interest. How long will she need to leave her money in the account to earn $500 in interest?
Determine whether each of the following sequences are arithmetic or geometric
You will use the following situation to complete your task:A person is planning on saving money according to a rigid savings schedule. Saving plan A is to make an initial deposit of $400 and then deposit $20 per month into the account.
a cell phone company charges 40 per month plus 2 for each minute of time used out of the service area. write the
greater coverage always means greater sales and a brand can never be available in too many places.prepare a report in
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