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The cabinet that will enclose the Acrosonic model D loudspeaker system will be rectangular and will have an internal volume of 2.1 ft3. For aesthetic reasons, it has been decided that the height of the cabinet is to be 1.5 times its width. If the top, bottom, and sides of the cabinet are constructed of veneer costing 40 $/ft2 and the front (ignore the cutouts in the baffle) and rear are constructed of particle board costing 20 $/ft2, what are the dimensions of the enclosure that can be constructed at a minimum cost?
Bob owns a watch repair shop. He has found that the cost of operating his shop is given by C(x) = 4x2-296x+85 , where c is cost and x is the number of watches repaired. How many watches must he repair to have the lowest cost?
Let G be a group of order n and suppose that G has 2^(n-1) subgroups. Show that G = or G is isomorphic to Z2 . You may use the fact that a set of k elements has 2^k subsets.
A 45-year-old male from the Midwest presented with the following symptoms during February: weakness, fatigue, orthostatic hypotension, weight loss, dehydration, and decreased cold tolerance. His blood chemistry values follow:
Find the correlation coefficient for the data and find the equation for the regression line for the data, and predict the final grade of a student who misses 3.5 days
Let A and B be subsets of a universal set U and suppose n(U) = 360, n(A) = 140, n(B) = 70, and n(A B) = 40. Find the number of elements in the set.
Show that arg(tanh z ) is given by tan - 1 (sin 2 y/ sinh 2 x ). Identify arg(tanh z ) as the imaginary part of a suitable function of a complex variable and hence deduce that, for x > 0, tan - 1 (sin 2 y/ sinh 2 x ) is a solution of Laplace's equa..
Consider the recurrence relation an = 3an-1 + 5n. (a) Write the associated homogeneous recurrence relation. (b) Find the general solution to the associated homogeneous recurrence relation. (c) Find a particular solution to the given recurrence rel..
Following completion of your readings, answer the following two questions from "Chapter 12 Supplement" of Mathematics in Our World.
Suppose that f is continuous on [a,b], f(z) 0. Set z = sup{x: f (t)
Calculation involving a change in blood pH. Although the pH of human blood is normally between pH 7.3-7.5, certain situations can take place which bring about "acidosis." Acidosis is defined as an abnormal lowering in the blood pH
How many ways are there to pick a collection of 13 coins from piles of pennies, nickels, dimes, quarters, and half-dollars? Base on the following condition: a) Assuming that each pile has at least 13 or more coins. b) Assuming that each pile has at l..
What is the equation of a circle touching the lines x-3y-11=0 and 3x-y-9=0 and having its center on the line x+2y+19=0.
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