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1. g(x)=x^4+x^3-6x^2-4x+8
A. What are the rational factors if any?
B. How many relative maximum/minimum points are there? How many absolute max/min points?
2. Solve the inequalities by using intervals. Answer problem in set notation: x^2-x<12
3. f(x)=x^3-x^2-8x-6- how many roots?
4. What is the minimum value of y=x^2-4
5. 5x^2-3x+2=0. solve using the quadratic formulate. Answer problem in set notation.
In a certain manufacturing process the probability of a type I defect is 0.14, the probability of a type II defect is 0.34, and the probability of having both types of defects is 0.04. Find the probability of having neither type of defect.
Consider the function f(x)=kx/(100-x), where f(x) is the cost incurred to remove x% of a pollutant from an environment. Examine the behavior near the vertical asymptote, and discuss the ramifications behind this.
Determine the population proportion
Given S is a subset of R. Suppose S' (set of all accumulation points in S) = emptyset. Prove S is countable.
Two dice are rolled. If the total is 10, then player A receives 7 points. If the total is 6, then player B receives 6 points. Find the expected value for each player.
Find the hypothesis
Find the distance between two ships from the word problem and From a lighthouse, the lighthouse keeper sees two ships
The topic for the project is Elliptical Paths Of Celestial Bodies although you may choose a different title. The aim is to research ellipses in the context of eccentricities and to use the eccentricities and lengths of the semi-major axis of the p..
If appropriate, use the Tukey-Kramer multiple comparisons procedure to determine which file sizes significantly differ with respect to mean access read time. (Use α = 0.05.)
Assume that the i component of the derivative of a vector function r(t) is 0 for all t in the domain of the function. What does this imply about the graph of r?
Work out what constraints in a maximum entropy problem will give rise to the true inverse Gaussian distribution.
Determine if the given function can be extended to a continuous function at x=0. If so, approximate the extended function's value at x=0 (rounded to four decimal places if necessary).
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