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Build a three dimensional shape and prepare a set of questions to be presented to the class for problem solving. Questions should encourage students to cover the concepts of perimeter, volume, surface area, number of vertices, faces, and edges associated with the three-dimensional shape.
Find the interior, the closure, the accumulation points, the isolated point and the boundary points of the following sets.
The marginal cost function
Probability that exactly one of the sample individuals carries the gene.
What is the probability that the nut fits the bolt? (Note: the sample space consists of all pairs of nuts and bolts, and each pair is equally likely to be chosen.)
Suppose that f is continuous on [a,b], f(z) 0. Set z = sup{x: f (t)
Need to prove that the centroid is the balance point of a triangle using only GEOMETRY with no vector addition allowed and I can't use the "equal areas" argument as far as the 6 triangles that are made with the medians.
We may think that this is similar to a Fresnel Integral (sin(x^2)). In that case, we would set z=e^(iz)^2, and then integrate over the special contour with regions I: 0 to R, II:
Discuss the convergence and divergence sets of each of those Laurent series. Find two non-zero terms of the Laurent series which represents this f for all z outside some circle |z| = R but diverges inside the circle and find the numerical value of..
If the probability of an event is .857, what is the probability that the event will not occur?
What is the probability of getting the indicated result
The book value of a machine is $21,000 at the end of its fourth year of life and $14,000 at the end of its sixth year of life. What was the purchase value of the machine, assuming that "straight line depreciation" is being used.
Application of differential calculus: Maximization and Minimization and find what are the largest and smallest revenues your company can make under this deal?
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