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The metal used to make the top and bottom of a cylindrical can costs 4 cents/in^2, while the metal used for the sides costs 2 cents/in^2. The volume of the can is to be exactly 100 in^3. What should the dimensions of the can be to minimize the cost of making it?
Could you please show all work so I can better grasp the concept?
How do you find the probability distribution of a random sample from a known population?
Let |G| be finite and N be a normal subgroup of G. If xN is an element of G/N and has order a power of p, show that there exists a y element of G such that |y| is a power of p and yN=xN.
Change into symbolic notation - Roses are red and violets are blue
Probability of a person keeping in touch with his or her parents. Please show the formula, and the steps in working the formula, to solve problems.
By contracting an edge e = uv, we mean removing e and identifying the vertices u and v as a single new vertex. Let num_T(G) denote the number of spanning trees of the graph G.
Let G = RxR (R is the real numbers) with addition (x,y) + (x', y') = (x+x', y+y'). Let H be the line y=mx through the origin: H = {(x,mx)such that x belongs to R (R is real numbers).
For what values of k is the origin a hyperbolic equilibrium point of the system ? In this case, classify it as a sink, source or saddle. For what values of k is the origin a Non-hyperbolic equilibrium point of the system ? In this case, determine..
Wing has different books to arrange on a shelf: 4 blue, 3 green, and 2 red. In how many ways can the books be arranged on a shelf? If books of the same color are to be grouped together, how many arrangements are possible?
Graph the function and label the x and y-intercepts on a scale where y-axis ranges from -100 to 900 and x-axis ranges from 0 to 55. What is the maximum profit earned by the company in a week?
The sentence below is a theorem of predicate logic. Show that it is by deriving it from the null set of premises. If any "individual" in the domain has a property, then every individual has it. I need help explaining this and with the derivation.
Why do we measure perimeter in ft, area in ft^2 (or feet squared), and volume in ft^3 (or feet cubed)? What does each mean within the strand of measurement?
Find the best unbiased point estimate for the population mean weight of the packages received by the parcel service.
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