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A jeweler has three small solid spheres made of silver, of radius 6 mm, 3 mm, and 3 mm. He decides to melt these down and make just one sphere out of them. What will the radius of this larger sphere be?
If you plan to drive the new car for 120,000 miles over the next 10 years, which car is the better buy? Use mathematical reasoning to justify your responses.
Calculate the number of bridge hands which contain and calculate the probability of being dealt each of the hands in parts (a), (b), and (c). Give your answers to 5 decimal places.
Construct the green's function that satisfies xG''-(2x+1)G'+(x+1)G= ?(x-s), G(0,s)=G(1,s)=0
An architect has designed a motel pool within a rectangular area that is fenced on three sides. If she uses 60 yards of fencing to enclose an area of 352 square yards, then what are the dimensions marked L and W? Assume L is greater than W.
Real Life Application of Linear Eqations : A mathematician has developed a model indicating a woman with x years of education can expect to earn y = 1200x + 6300 dollars a year.
Question babsed on wff-formation rules. Let L be a language whose wff-formation rules are the following..
The distinct equivalence classes of an equivalence relation on a set A provide us with a decomposition of A as a union of mutually disjoint subsets. Conversely, given a decomposition of A as a union of mutually disjoint, nonempty subsets, we can d..
Consider a Lagrangian system, with configuration space R^n, given by (x^1, ... x^n); and Lagrangian L(x', ..., x^n; v^1, ... v^n). Now consider a new system of coordinates, (y^1,... ^n),
Show that the mass, momentum, and energy are constants of motion (invariants) for the KdV equation by direct differentiation with respect to time.
What is the total dollar amount to be repaid on the loan, including principle and interest, for the entire year?
What price should the company charge in order to maximize total revenue? What is the maximum revenue?
if her account earns 4% interest, compounded monthly, then when she retires, what is her maximum possible monthly withdrawal (without running out of money)?
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