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Explain how to calculate the derivative of a polynomial function and provide an example to illustrate your explanation.
Plot the vertex and four additional points, two on each side of the vertex. Please indicate points plotted as sometimes the graph is hard to read.
What was the smallest possible number of people? What are all possible numbers of people?
Flying with the jetstream, the same jet travels 4600km in 4 hours. What is the speed of the jet in still air, and what is the speed of the jetstream?
Waiting Lines and Queing Theory Models. Customers enter the waiting line at a cafeteria on a first come, first served basis in two serving lines.
Perform the appropriate analysis and state the conclusions
Formulate this problem as an LP solve using Solver in Excel, From the sensitivity analysis, which warehouse site should have had more paper allocated to it at the start of the week and by how much per tonne would the overall cost of transport have..
Choose one equation of each type: linear, quadratic, polynomial, rational, exponential, and log. Plot each equation on the same graph. Discuss and compare the appearance of each graph.
Find whether x=3 is a local maximum or a local minimum and Sketch the graph - Sketch possible graphs for all four cases.
Recurrence relations with complex characteristic roots
You have 80 yards of fencing to enclose a rectangular region. Find the dimensions of the rectangle that maximize the enclosed area. What is the maximum area?
Academic response to Binomial Distribution, Historical data shows 15% of the customers entering a store make a purchase. There are 50 customers in the store at the moment.
Suppose u and v are non-parallel unit vectors, a=u+sqrt(3)v and b=u-sqrt(3)v. If the angle theta between u and v are the same as that between a and b, find cos theta.
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