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A homeowner wants to enclose a 5,300 square foot rectangular garden by a fence in his backyard. If 3 sides of the fence cost $8.25 per foot and the 4th side costs $11.25 per foot, find the dimensions that will minimize the cost of building the fence and the minimum cost of its construction.
Express the function in the form f(x) = a(x-h)2 + K and indicate the vertex. An object is thrown upward from the top of a 160-foot (Ho) building with an initial velocity (Vo) of 48 feet per second. How long after the object is projected upward wil..
Saunders Corp. has current liabilities of $440,000, a quick ratio of 0.81, inventory turnover of 5.7, and a current ratio of 1.8. What is the cost of goods sold for the company?
Sample Question: Binomial Probability Distribution. Assume a binomial probability distribution with n=40 and Ï? =.30(pi =.30) . (Round all z values to 2 decimal places.)
Let K be a normal subgroup of G, and both K and G/K are simple. Show that either K is the only nontrivial proper subgroup of G, OR G is isomorphic to K x (G/K).
Determine accumulated rates of change using definite integral - Explain how this represents an accumulated rate of change in detail
Find the equation of the Straight line from the given data - Evaluate the equation of the indicated curve, subject to the given conditions,
Prove that the set of natural numbers will be a ring by using ring definition - set of natural numbers
Recall that a graph G is randomly Eulerian from a vertex x if and maximal trail starting at x in an Euler circuit. (If T = xx_1 ... x_l, then T is a maximal trail starting at x iff x_l is an isolated vertex in G - E(T).)
In each case make a conjecture about a possible generalisation, and explore it (i.e. attempt to prove your conjectures true or false).
Solving probability problems based on empirical rule
Find the equation of the tangent plane to the ellipsoid 7x2 + 5y2 + 3z2 = 60 which pass through the line 5y - 3z = 0 = 7x + 10y - 30.
Let f be defined on the interval [0,1] by setting f(x)=0 if x is irrational, and if x=(m/n) rational where gcd(m,n)=1 set f(x)=n. Show that f is unbounded on every open interval in [0,1] and compute the Lebesgue integral of f over the interval [0,..
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