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Various Topics in Algebra

Question #1
Given f(x)=6x^4-7x^3-23x^2+14x+3, graph using a graphing tool. Use the graph to approximate each real zero as a decimal, accurate to the nearest tenth.

Question #2
For a body falling freely from rest (neglecting air resistance), the distance the body falls varies directly as the square of the time. If an object is dropped from a tower 400 ft high and hits the ground in 5 seconds, how far did it fall in the first 3 seconds?

Question #3
Model A: P=2.2 In (t + 0.61), where P is in millions of dollars and t is in years

Model B: P= -e^(-t+2) + 5, 39 < t < 11, where P is in millions of dollars and t is in years

• Find the Profit given by each model for 3 values of t each

• Which model is more desirable, why?

• Which model is more reasonable, why?

• Describe in 2-3 sentences the impact of pressures from the market, competition, labor, regulation, distribution, raw materials on using models such as these to assist making business decisions.

Solution Summary

Thorough response to three questions covering using a graph to approximate zeros, modeling the free fall of an object and modeling profit.