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1. A box is to be constructed from a sheet of cardboard that is 20 cm by 60 cm, by cutting out squares of length x by x from each corner and bending up the sides. What is the maximum volume this box could have?
2. Find the amplitude and period of y = -3cos(2x + 3).
Use your calculator to graph the function and state its symmetry.
Find the first positive x-intercept using your calculator's zero function.
3. Find two functions f(x) and g(x) such that f[g(x)] = x but g[f(x)] does not equal x.
4. State the vertical, horizontal asymptotes and zeros of the rational function, f(x) = x2+3x+2x2+5x+4.
Why is there no zero at x = -1?
5. Give an example and explain why a polynomial can have fewer x-intercepts than its number of roots.
A division of Carter Enterprises produces "Personal Income Tax" diaries. Each diary sells for $9. The monthly fixed costs incurred by the division are $20,000, and the variable cost of producing each diary is $4.
Consider the complex number:
According to an article in the Maclean's magazine, "Cable, satellite and wireless companies may be charging illegal late fees. Companies may calculate a compounded late-fee rate of two percent a month. However, because they charge even if a customer ..
Peak Elevation. The tallest mountain in the world, as measured from the base to the peak, is Mauna Kea in Hawii. From a base 19,684 ft. below sea level, it rises 33,480 ft. What is the elevation of its peak?
Three students are doing an assignment.John has finished 4/5 of the assignment,Sarah has finished 3/4 and Jo has finished 2/3. Which student has done the most?
graham walked to school at an average speed of 3 miles an hour and jogged back along the same route at 5 miles an
question given triangle abc. if triangle abc is congruent to triangle bac and triangle abc is congruent to triangle
Tom, Bill, John, and Ed are running for school president. The person in second place automatically becomes vice-president. How many possible outcomes are there in the sample space?
Determine the probability that is within one standard deviation of the mean: ?
1.what is the quantifiable number of americans who have stopped flying after the gruesome terrorist attacks in 2001
Formulate this problem as an LP solve using Solver in Excel, From the sensitivity analysis, which warehouse site should have had more paper allocated to it at the start of the week and by how much per tonne would the overall cost of transport have..
what are differences between dependent and independent samples? provide examples. what are implications for determining
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