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Quiz 5 - Math 53, section 213
1. Find the volume of the solid that lies under the plane 4x + 6y - 2z + 15 = 0 and above the rectangle R = {(x, y) | -1 ≤ x ≤ 2, -1 ≤ y ≤ 1}.
2. Evaluate the double integral ∫∫D 2xy dA, where D is the triangular region with vertices (0, 0), (1, 2), and (0, 3).
Compare the advantages and disadvantages of substitution and elimination methods with the matrix method to solve systems of linear equations and the relationship these have with matrix method solving.
question a data set was coded by subtracting 20 from each value and then multiply each difference by 5. the mean and
How is the solution affected if the constraints are changed to y(0) = 0 and y'(0) = 1 ? What is the special about this case?
Given S is a subset of R. Suppose S' (set of all accumulation points in S) = emptyset. Prove S is countable.
Let G be a finite group and let P be a Sylow p-subgroup with N_G(P) = P. Prove that P is not contained in any proper normal subgroup of G ??
Think of a mathematical function that represents something from your own life. For example, Assume the number of beers you drink depends on the number of football games you watch.
Discuss if you want to use random assignment or random sampling. Explain why or why not.
Derivation of Adams-Moulton. Determine the coefficients β0, β1, β2| for the third order, 2-step Adams-Moulton method. We will do this two different ways.
complete solution. to be done on mathlab. ltbrgt ltbrgtmathlab code and output to be given ltbrgtand done up on .doc
The base of the solid is the region in the xy-plane bounded by the paraboles y=x^2 and x=y^2 . find the volume of this solid if every cross-section perpendicular
A box contains 4 green, 10 red, 6 yellow, and 5 blue marbles. Four marbles are drawn from the box without replacement. What is the probability that you get one marble of each color?
24. Business partners want to purchase a restaurant that costs $750,000. They have $300,000 for a down payment, and they can get a 25-year business loan for the remaining funds at 8% per year on the unpaid balance, with quarterly payments.
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