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Now consider a rational function, which is the ratio of two polynomials. These two polynomials will each have a set of zeros, and note that at a zero of the denominator we are actually dividing by zero. The zeros of the denominator are called poles, and they are point where the rational function becomes infinite (unless there is also a zero of the numerator at that point, which is called a zero of the function).
Describe the behavior of a rational function near one of its poles on the real axis. How does the function vary as the pole is approached from each side, and what happens at the pole? If there is also a zero at this point, then what happens at the pole? We know that zero divided by zero is indeterminate, but if there is a zero and a pole at the same point, what is a sensible definition of the function at this point?
Write the equation first by inserting the given binomials into the Pythagorean Theorem. Once you have your equation written, go ahead and solve it using the methods from section 5.6 of Elementary and Intermediate Algebra.
Find the maximum or minimum value.
Comparing the 2 solution can you determine whether the fist system of equations is ill-conditioned or not?? Explain why it is ill-conditioned??
Could you explain me the easiest steps needed to prove the Holder inequality for L^p spaces?
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..
hi ...... ltbrgtit is math liner algebra the question is on the attach file ltbrgt the assignment due. at
Find the cost function for the give marginal cost and specified fixed cost: dC/dx = 90x + 700. At x = 0 the fixed cost is C(0) = $5500.
Write the fractions below in terms of the LCM of the denominators.
The average income of a member of the Yale Class of '83 is $274,111. This statistic is being used to show that a Yale education will lead to riches.
1. If the width of a rectangle is (2x+4) inches and the length is (x-3) inches, what is the area of the rectangle in terms of x?2. If the side of a square is (x+6) feet, what is the area of the square in terms of x?
Write a brief discussion of the relationship between the atomic spectrum and the electronic structure
Do exponential functions only model phenomena that grow, or can they also model phenomena that decay? Explain what is different in the form of the function in each case.
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