What part of the cell cycle are these 4 cells onion root tip cell in? Image 130.JPG

Q3-10 points Let ​A​ = {1, 2, 3, 4} and let ​R​ be the relation with digraph Test this relation for the following properties: reflexive symmetric transitive

Q4-12 points Let ​C ​= {2, 4, 8}, ​A​ = ​C ​×​ C​, and define a relation on ​A​ by: (​u​, ​v​) ​R ​(​x​, ​y​) if and only if ​uv ​=​ xy​. Prove  that ​R​ is an equivalence relation on ​A​. Remember that the elements of ​A are ordered pairs. ​ Compute the partition ​A/R​ that corresponds to the equivalence relation. Hint: Keep in mind that you are partitioning the 9 elements of ​A ​into blocks. ​     

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.  

Q2-10 points Let ​A​ = {1, 2, 3, 4} and let ​R​ be the relation with matrix       Test this relation for the following properties: reflexive symmetric transitive

Q11-5 points The standard telephone number in the U.S. has 10 digits; for example, NOVA’s telephone number is (703) 323-3000. How many phone numbers are possible for the 703 area code if the first digit that follows the 703 cannot be a 0 or a 1?

Q9-5 points Use the roster method to describe the set  { 4n + 1 | n ∈ ℤ }.

Q10-5 points Michael has five different sport coats hanging on a closet rod. In how many ways can they be arranged? 

Q15-5 points Make a Venn Diagram that illustrates the set (​A​ ​∪​ B​) ∩ C.

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) = d, f (3) = c g(1) = a,  g(2) = a, g(3) = b,  g(4) = b h(1) = d,  h(2) = a, h(3) = c, h(4) = b                                                                                             Which of these functions are well-defined? ​                                                                                                                                              Which of these functions are onto?                      Which of these functions are one-to-one?