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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?
Solve the following algebraically
In 1920, the record for a certain race was 45.4 sec. In 1960, it was 44.6sec. Let R(t)= the record in the race and t= the number of years since 1920. Find a linear function that fits the data.
Describe the span of the given vectors in terms of the coefficients x, y, z of a general vector b = (x,y,z) in the span. Write b as a linear combination of the given vectors.a1=(2,2,-2), a2=(4,6,-3), a3=(4,2,-5)
A six-digit integer is formed by placing two 3-digit integers side by side. If the larger of the two integers is placed ahead of the smaller integer, the number formed is six times greater than if the smaller integer is placed ahead of the larger ..
Find the total interest for a loan.
i3939m struggling with this questions. please answer the questions and give examples so i can understand. ltbrgt
Oscar invests $20,000 in three investments earning 6% APY,8%APY and 10%APY. He invests $9000 more in the 10% investment than in the 6% investment. How much does he have invested at each rate if he receives $1780 interest the first year?
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.
What are the steps of the order of operations? Why is it important that you follow the steps rather than solve the problem from left to right? Write an expression for someone to simplify using at least three of the following:
A supplier for the automobile industry manufactures car and truck frames at two different plants. How many hours should each plant be scheduled to operate to exactly fill each of the orders in the right table?
Using mod system
Simplify the number
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