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Determining the height at which the light has to be fixed to get its use in maximum area using its perimeter function.
Illumination A light source is located over the center of a circular table of diameter 4 feet (see figure). Find the height h of the light source such that the illumination I at the perimeter of the table is maximum if I = k(sinα )/s2, where s is the slant height, α is the angle at which the light strikes the table, and k is a constant.
a market research company finds that at a price of p=$20, they would sell x=42 tiles each month. If they lower the price to p=$10, then more people would purchase &they can expect to sell x=52 tiles in one month, find the equation of the line for ..
The slope of the tangent line.
Buying a Cottage A group of friends decides to buy a vacation home for $120,000, sharing the cost equally. If they can nd one more person to join them, each persons contribution will drop by $6000. How many people are in the group?
Solve the equation on the interval.
Do not explain your answers in English. Please find system of equations questions in your textbook or MML for us. Try your best to solve.
Suppose that two of her friends (of the 14 of either gender) do not like each other. If one of the two is invited, the other will not come to the party. How many ways are there to invite 8 people to the party. Explain.
Jill's Company produces lawnmowers. It has fixed costs of $1000 per week and Variable costs of $70 per lawn mower.
Let C be the Cantor set defined C=intersection sign on top inf bottom n=0 C_n.Define g:[0,1]->R by g(x)={1 if x belong to C and 0 if x does not belong to C. a-show that g fails to be continuous at any point c belong to C.
During the first part of a trip, a canoeist travels 76 miles at a certain speed. The canoeist travels 24 miles on the second part of the trip at a speed 5 mph slower. The total time for the trip is 4 hours. What was the speed on each part of the t..
Explain the difference between the solution sets when a compound inequality contains the word "and" versus when the inequality contains the word "or".
sandra would like to switch the positions of terms so that like terms follow each other in the expression. Which property allows her to switch the position of terms?
in a left-skewed distribution, where is the median in regard to the mean? Is it to the left of the mean or to the right of the mean?
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