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Prove that if P is any point in a regular tetrahedron of height h, then the sum of the perpendicular distances from p to the four faces of the tetrahedron is equal to h.
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:
The Marginal profit function.
In mountain communities, helicopters drop chemical retardants over areas which approximate the shape of an isosceles triangle having a vertex angle of 38 degrees. The angle is included by two sides, each measuring 20 ft.
A committee of four is to be randomly selected from a group of seven teachers and eight students. Find the probability that the committee will consist of four students.
Consider the k-out-of-n system (info on the system: A system consists of n independent components. Each component functions with probability p
Compactness and find the Area of region using definite integrals
A manufacturer finds that the total profit from producing and selling Q units of a product is given by the profit function:
Use the point-slope form of the linear equation to find an equation of the line with the given slope and passing through the given point. Then write the equation in standard form.
0 2 4 1 3 5 (imagine the vertical sets of numbers are surrounded by a large parenthesis, as it is in a binomial expression)
Series convergence - Prove, using the definition, that the following sequence converger
Calculate the probability.
A container will hold 1 ltr, you will need the following solutions for different purposes, how much concentrate will you need in each case.
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