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Consider a uniform bar such that α(x) = 1, β(x) = 0.5 with q(x) = x(1 - x). The bar is subject to a constant temperature at x= 0 and is insulated at x= 1 such that θ(0) = 0, dθ/dx (1) = 0. Let S be the vector space which is the intersection of P3[0,1] with the subspace of C[0,1] of all functions satisfying the homogeneous boundary conditions. Find the best least squares approximation for the temperature distribution in the bar from S.
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The value of EFX Corp. began the day at $17.68 per share and dropped $1.63 per hour for 8 hr. What was the price of the stock after 8 hr?
Find the most recent report of the annual inflation rate of a country of your choice as well as the type of currency used in that country. The equation S=C(1+r/100)^6 to find the inflated cost S, in 6 years, of an item, good or service
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find the intervals on which f(x) is increasing, the intervals in which f(x) is decreasing, and the local extrema.
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A catering service has been asked to provide a lunch buffet the next day for 40 people at a set price of $10.50 per person; no function has been booked for the next two days.
Solve equations emphasizing that the same operation must be performed on both sides of the equation. For practice, please solve and post your work for the following:
Each of the barrels has a radius of 1.3 feet and are 4.2 feet tall. If Mike needs to transport 317 cubic feet of oil, how many steel barrels will he need?
Find the area of the triangle POR with vertices P(-2,4,1),Q(3,1,-1),R(-1,2,-2).
A company wishes to design a rectangular box with square base and no top that will have a volume of 25 cubic inches. If dimensions are selected so that the surface area is minimized, what will be the height of the box?
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