In human male skulls, the mastoid process is ____.
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Why are strawberries ideal for DNA extraction in a lab exper…
Why are strawberries ideal for DNA extraction in a lab experiment?
What is the most polar molecule in the chromatography lab wi…
What is the most polar molecule in the chromatography lab with spinach leaves? spinach-leaf-chromatography.jpg
Q8-8 points Consider the graph shown below. Does it have an…
Q8-8 points Consider the graph shown below. Does it have an Euler path? Is it Eulerian (i.e., does it have an Euler circuit)? Explain your answer.
Q7-10 points Consider the function f : ℝ → ℝ defined by f (…
Q7-10 points Consider the function f : ℝ → ℝ defined by f (x) = x³ – 2x + 3. Prove or provide a counter example that this function is onto (or surjective). Prove or provide a counter example that this function is one-to-one (or injective).
Q6-12 points Define functions f , g , h from {1, 2,…
Q6-12 points Define functions f , g , h from {1, 2, 3, 4} to {a, b, c, d} as follows: f (1) = a, f (2) = b, f (3) = a, f (4) = b g(1) = a, g(2) = d, g(3) = c, g(4) = b h(1) = d, h(2) = a, h(3) = a, h(4) = a Which of these functions are well-defined? Which of these functions are onto? Which of these functions are one-to-one?
Q14-5 points 14,890 people attended the first game of the 19…
Q14-5 points 14,890 people attended the first game of the 1984 NBA Finals between the Los Angeles Lakers and the Boston Celtics. Is it a mathematical certainty that at least two of those people shared the same three-letter set of initials (such as JFK or LBJ)? Justify your reasoning.
Q5-6 points What subset of the real numbers would you us…
Q5-6 points What subset of the real numbers would you use to make the function
Q10-6 points Seven people attended a smaller dinner party. I…
Q10-6 points Seven people attended a smaller dinner party. Is it mathematically possible that each person shook hands with exactly three people at the dinner? Explain why or why not.
Q16-5 points Use the Binomial Theorem to write out the expan…
Q16-5 points Use the Binomial Theorem to write out the expansion of (2a + b)3 .