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A=(LP)/2-L^2, gives the area of a rectangle of perimeter P and length L. Suppose that you have 600 feet of fencing which you plan to use to fence in a rectangular area of land. Choose any two lengths for a rectangle and find the corresponding area for each using the given equation. Include units and show all calculations. Which of the two lengths that you chose gives a larger area? What is the corresponding width of each of the two rectangles?
Find the average rate of change from x=2 to x=5. Find the derivative f'(x) from first principles, by setting up the difference quotient, (f(x+h)-f(x))/(h) and finding lim h->0 (f(x+h)-f(x))/(h)
Conditional Probability of Drawing Different Kinds of Cards. A card is selected from a standard deck of 52 playing cards. A standard deck of cards has 12 face cards and four Aces (Aces are not face cards). Find the probability of selecting
A spinner is used for which it is equally probable that the pointer will land on any one of six regions. Three regions are colored red, two are colored green and one is colored yellow
Correctly match each of the following descriptions to a graph below by inserting the letter of the description that correctly describes the graph in the open box under the graph. The graph has both an Euler circuit and a Hamilton circuit.
Calculate the smallest sample size required to estimate the population mean under the following specifications:
Solving problems on probability.
Determine the minimum production level required for a day's production to be in the top 5% of production levels.
An arrow is accidentally shot into the air. The formula y = - 14x2 + 56x + 18 models the arrow's height above the ground, y, in feet, x seconds after it was released.
Conditional Probability explained in this answer, A lotttery game has balls number 1 - 21. What is the probability of selecting an even numbered ball or a 10?
How would the construction of the Lebesgue measure in R2 change if we assume at the beginning that the measure of the unit square [0, 1]Ã?[0, 1] is =2?
Probability : Expected Values and Probability Distributions - According to an automobile manufacturer, the company uses 3,000 lock-and-key combinations on it's vehicles
Determine the vertical and horizontal asymptotes and sketch the graph of the rational function F. Label all intercepts and asymptotes.
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