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Let f be the function given by f(x) = √(x4 - 16x2). No calculator allowed.
a. Find the domain of f.
b. Describe the symmetry, if any, of the graph of f.
From a base elevation of 8300 feet, a mountain in colorado rise to summit elevation of 14, 869 ft over a horizontal distance of 15,842 ft. Find the grade of the peak.
A market research organization has found that 40 percent of all supermarket shoppers refuse to cooperate when questioned by its pollsters. If 1,000 shoppers are approached, Find the probability that fewer than 500 will refuse to cooperate?
Show a sketch of a region satisfying set of inequalities or system of inequalities
We flip a fair coin and then draw a ball from the first or second urn depending upon whether the outcome was heads or tails respectively. What is the probability that the outcome of the coin toss was heads, given that a white ball was selected.
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How does the answer change if in addition you are told that n1→ is not in Ac, and |c-1(n)| > |c-1(1)|? In both cases, give both a lower bound on the minimum number and also an example showing it is best possible.
(1) The Golden Ratio is the number φ = 1+ 5 . Is φ constructible? (2) Textbook section 12.5, problems 1, 4, 5, 7, 11, 12, 15, 18, 25.(3) Textbook section 12.5, problem 16: Prove that the following equa- tion has no constructible solutions:x3 - 6x..
What is the number of partitions of [8] into two blocks in which the two blocks do not have the same size? [8] is a set so the question is about set partitions possibly?
Explain why the rules for the order of operations are necessary; give examples to back up your explanation.
Let G={e,x,x2,x3,y,xy,x2y,x3y} with o(x)=4, o(y)=2 and xy=yx3. Then the number of elements in the center of the group G is equal to
consider repair cost for car a and car b. the mean repair cost for each is 500 per year. which statistics about repair
a researcher takes measurements of water clarity at the same location in a lake on the same dates during the course of
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