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Find the critical points of the function and determine whether the critical point is a local minimum or maximum (or neither). (Enter your answers as a comma-separated list. I answer does not exist, enter DNE.)
f(x) = 8x2 - 9x3 + 3
Find the points of inflection of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
Determine the intervals on which the function is concave up or concave down. (Enter your answers using interval notation. Enter EMPTY or 0 for the empty set.)
Water is pumped into a sphere on the figure below at a variable rate in such a way that the water level rises at a constant rate c = √3. When the water level in a sphere of radius R is h, the volume of water is V = π(Rh2 - h3/3).
What is the inflection point for V?
A television station estimates that 50% of college students watch the Super Bowl. For a sample of 120 students selected at random, what is the mean and variance of the number of students who watch this game?
A square support unit in a television is made with a side measuring 5 centimeters. A new model being designed for the upcoming year will have a larger square with a side measuring 5.2 centimeters. By how much will the area of the square be increas..
A ball drops from a height of 14 feet. Each time it hits the ground, it bounces up 65 percents of the height it fall. Assume it goes on forever, find the total distance it travels.
Let X(t) be a homogeneous Poisson process with parameter λ. Determine the covariance between X(t) and X(t + τ), t>0 and τ >0, i.e., compute E[(X(t) -E(X(t))(X(t + τ) - EX(t + τ))].
the number of cell phone accounts in a certain country has increased exponentially for the last decade. the nubmer of
Why did the single factor tests and analysis
To order meat to be grinded at the meat factory cost 1/10 of the meat as the fee. If you need 2 pounds of meat, how much meat will the meat factory have to grind?
A retailer finds that the demand for a very popular board game averages 100 per week with a standard deviation of 20. If the seller wishes to have adequate stock 95% of the time, how many of the games must she keep on hand?
What about the second equation? How are these examples similar? How are they different? Find a problem in the text that is similar to examples 2, 3, and 4. Post the problems for your classmates to solve.
Use the distributive property to multiply. Then, if possible, simplify the resulting espression.
Graph triangle WXY on a separate piece of paper. How many lines of symmetry does Triangle WXY have?
chocolate bars produced by a certain machine are labeled with 8.0 oz. the distribution of the actual weights of these
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