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1. A cylindrical package to be sent by mail can have a maximum combined length and girth (perimeter of a cross section) of 147 inches. Find the dimensions of the package of maximum volume that can be sent. (The cross section is circular.)
2. Consider the following function.
f(x) = 2x3 + 6x2 - 90x
(a) Find the critical numbers of f.
(b) Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation. If an answer does not exist, enter DNE.)(c) Apply the First Derivative Test to identify the relative extremum. (If an answer does not exist, enter DNE.)
the wind in 3 hours and travel the same distance against the wind in 8 hours. What is the speed of the wind?
a banker invested a portion of $10,000 at 5% interest per year and the remainder at 4% interest per year. if the baker received $470 in interest after 1 year, how much was invested at each rate?
Mean and variance explained in this solution. A school is sending 11 children to a camp. If 25% of the children in the school are first graders
nbspq nbsp nbsp nbsp nbspconsider the following lppnbspa nbsp nbsp nbsp nbspsolve using simplex method.nbspb nbsp nbsp
The manager of a weekend flea market knows from past experience that if he charges x dollars for a rental space at the flea market, then the number y of spaces he can rent is given by the equation y = 200 - 4x.
Manual on Uniform Control Device (MUTCD) the perimeter of some traffic sign must be 72 inches. Aslo, its length is 12 inches longer width find the dimernsion of this sign.
the length of a new rectangular playing field is 7 yards longer than quadruple the width. If the perimeter of the rectangular playing field is 514 yards, what are the dimensions?
Calculate the mean of each sample
Determine the nature of the solutions of the equation. x^2-10=0. Choose the correct nature of the solutions of the equation. Is it a) 1 real solution; b) 2 imaginary solutions; or c) 2 real solutions.
If f is a continuous function defined in an interval D, show that the restriction of f to a second internal contained in D is continuous. If f is a continuous function defined in (a, b) and if limx→b f (x) = u, show that a continuous function g : [a..
James borrows $12,000 for equipment so that he could do some of his personal training work in his garage. He agreed to repay $13,200 after 300 days. Find the amount of interest and the interest rate.
Discuss examples of administrative decisions that might be made in the managing of performance of professor?
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