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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).
Write two equations that have your two integers as solutions. Show how using the equations using your integers. Solve the system of equations by the addition/subtraction method. Make sure you the necessary 5 steps are included.
for numbers 1-3 simplify. assume all variables represent positive real numbers4 add or subtract as indicated. assume
Find the domain of each square root. f (x)=square root 8-2x Multiply and simplify assume that all variables in a radicand represent positive real numbers no radicands involve negative quantities raised to even powers. Here is the problem square roo..
find the perimeter of the triangle with the vertices at5-2 -15 and
suppose procter amp gamble sells about 20 million bars of soap per week but the demand is not constant and production
Solve the logarithmic equation.
Solve the algebraic expression from subtracting rule.
Simplify the expression and write your answer as a fraction in lowest terms - Set up and solve an equation to answer the question below. Round your answer to the nearest tenth of a percent if necessary.
Using compound interest formula.
The techniques for solving linear equations and linear inequalities are similar, yet different. Explain and give an example of both a linear equation and a linear inequality that demonstrates this difference.
Quantities are assumed to adjust outside the model.
Define variables and profit function
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