For each set of ordered pairs, indicate whether it is a function. If not, briefly explain why it is not a function.
(a) { (2, 2) , (2, -3) , (2, 0) }
(b) { (2, 2) , (-3, 2) , (0, 2) }
(c) { (2, 2) , (-3, -3), (0, 0) }
For each set of ordered pairs, indicate whether it is a function. If not, briefly explain...
{(5,2), (4,2), (5,3)} Is the set of ordered pairs a function?
(6 pts) 3. Prove whether or not the set of ordered pairs of the form (w ) is a subspace of R'. (6 pts) 4. Prove whether or not the set of polynomials of the form a+Ox+ax is a subspace of P. 5. Let S = {(2,2,1,6),(1,3,5,1),(1,7,14,-3)} . (6 pts) Is S linearly independent or linearly dependent? (3 pts) b. Find (4 pts) 6. Give three examples of vectors in the span of {0.2.1),(3.1.0);
Indicate whether the first function of each of the following pairs has a smaller, same or larger order of growth (to within a constant multiple) than the second function. Justify your answer (1) n(n2+1) and 2000 n2 + 34 n (2) ln n and lg n (3) 2n-1 and 2n (4) 2 n2 and 0.001 n3 – 2 n
Explain briefly why each of the following is not a pos- sible set of quantum numbers for an electron in an atom. In each case, change the incorrect value (or values) to make the set valid. (a)n=2,l=2,ml =0,ms =+1⁄2 (b)n=2,l=1,ml =−1,ms =0 (c)n=3,l=1,ml =−2,ms =+1⁄2
Which set of ordered pairs could be generated by an exponential function? • (-44),(0,0), (1.4),(2,1) (-1, -1), (0, 0), (1, 1), (2, 8) • (-1,1),(0, 1), (1, 2), (2, 4) (-1, 1), (0, 0), (1, 1), (2, 4)
3 1 3 -4 (a) Write a set of ordered pairs (x, y) that defines the relation. (b) Write the domain of the relation. (c) Write the range of the relation. (d) Determine if the relation defines y as a function of x.
In each situation, indicate whether the method of data collection is biased. If it is, briefly explain why. a. Ask the students at the gym on a Tuesday afternoon how many hours a week they work out to estimate the average amount of time students at the university work out. b. A professor asks her class of first year students if any of them consumed alcohol over the weekend.
QUESTION 12 Consider the function f defined by the following set of ordered pairs: f = {(-3,2), (4,5), (7,4), (10, 19)}. Find f1(4). 7
For each of the following pairs of structures, indicate whether the structures are (a) constitutional isomers. (b) stereoisomers, or (c)the same compound
For each of the following pairs of structural formulas, indicate whether the pair represents: a. identical compounds b. constitutional isomers c. stereoisomers d. different compounds that are not isomers 6. For each of the following pairs of structural formulas, indicate whether the pair represents: a. identical compounds b. constitutional isomers C. stereoisomers d. different compounds that are not isomers H₃C and CH2 - CH2 - CH3 НАС "CH₂ - CH₂ - CH₃ C CH₂ and CH₂ - CH₂ - CH₂...