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1. Explain the difference between a local and an absolute maximum. Are extrema x values or y values?
2. If an odd function f has one local maximum of 5 at x = 3, then what else can be said about f? Explain.
3. If an even function f has an absolute minimum of -6 at x = -2; then what else can be said about f? Explain.
4. Explain how to determine graphically whether a zero of a polynomial is a multiple zero. Sketch examples.
5. Show that the following equation has no rational roots. Explain how you did it.
x5 - x4 - x3 + x2 - 2x + 3 = 0
6. Could a cubic function with real coefficients have only imaginary zeros? Explain
7. Give an example of a polynomial function that has only imaginary zeros and a polynomial function that has only real zeros. Explain how to determine graphically if a function has only imaginary zeros.
An oil company distributes oil in a metal can shaped like a cylinder that has an actual radius of 5.1 cm and a height of 15.1 cm. A worker incorrectly measured the radius as 5 cm and the height as 15 cm.
if a function of one variable is continuous on an interval and has only one critical number then a local maximum has to
1. in a study of fraternal twins of different genders researchers measured the heights of each twin. the data show that
Helena and Naomi bought plastic letters to make a sign that shows both of their first names. This chart shows the price of the three sizes of letters available.
Plot the vertex and four additional points, two on each side of the vertex. Please indicate points plotted as sometimes the graph is hard to read.
Make a table showing the probability distribution function(pdf) and cumulative distribution function (cdf) for X. Hint: draw a probability tree modeling the game.
Conditional Probability Example I'm trying to set up an excel spreadsheet to solve a statistical probability.Patients 23% (smokers) -18% have a chance of contracting a serious illness
A 20-ft ladder is leaning against a building. If the base of the ladder is 6 ft from the base of the building, what is the angle of elevation of the ladder? How high does the ladder reach on the building?
Find the first and third quartiles, Q1 and Q3, of the following set of numbers.
A carton can hold 1000 unit cubes that measure
two large containers a and b of the same size are filled with different fluids. the fluids in containers a and b are
a company uses 121000 units a year.nbsp if the inventory carrying charge is 25 the item costs 60 a unit and an order
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