Other Math Answers

an=4an-1-2an-2+3nand a0=0 and a1=-2 where n>2

1. A survey of 90 customers were taken at Barnes & Noble regarding the types of books purchased. The survey found that 44 purchased mysteries, 33 purchased science fiction, 29 purchased romance novels, 13 purchased mysteries and science fiction, 5 purchased science fiction and romance novels, 11 purchased mysteries and romance novels, and 2 purchased all three types of books (mysteries, science fiction, romance novels). How many of the customers surveyed purchased (a) mysteries only? (b) mysteries and science fiction, but not romance novels? (c) mysteries or science fiction?

A woman will need an amount of P2,000 to go on vacations with her husband at

the end of each year for 10 years. For this purpose she wants to invest some

money in a saving bank but does not know the exact amount of money to invest.

Require: What amount does she require to invest now to receive an income of

P2,000 at the end of each year for 10 years if:

a) the interest rate is 15%

b) the interest rate

d) Define the relational expressions to return the following subsets of the Cartesian Products, S1XS2 and S1XS2XS3 respectively:

i). T1 = {(1, 3, 4), (5, 3, 8)}

ii). T2 = {(7, 2), (9, 4)}

a) Consider the following sets and use them to answer the questions that follow:

S1 = {1, 3, 5, 7, 9}.

S2 = {2, 3, 4, 6}.

S3 = {2, 4, 8}.

i). Define the Cartesian Product, S1XS2.

ii). Define the Cartesian Product, S1XS2XS3.

b) From the Cartesian Product S1XS2 defined above, what would the following relational expressions yield?

NOTE: Be sure to explain.

i). K= {(x, y) | (x belongs toS1, y belongs to S2 and x = y}.

ii). L = {(x, y) | (x belongs to S1, y belongs to S2 and 2x - y = 0}.

iii). M = {(x, y) | (x belongs to S1, y belongs to S2 and x = y2}.

c) From the Cartesian Product S1XS2XS3 defined above, what would the following relational expressions yield?

NOTE: Be sure to explain.

i). P = {(x, y) | (x belongs to S1, y belongs to S2, z belongs to S3 and x = y + z}.

ii). Q = {(x, y, z) | (x belongs to S1, y belongs to S2, z belongs to S3 and 2x + y = z}.

iii). R = {(x, y, z) | (x belongs to S1, y belongs to S2, z belongs to S3 and y2= z}.

Prove or disprove there exists exactly two regular trees

let G be a connected graph, and let e1 and e2 be two edges of G. Prove that G-e1-e2 has three components if and only if both e1 and e2 are bridges in G.

to avoid overdosage when taking prescribed medicine , one has to abide by the recommended , the recommended dosage for antibiotics is 11,5mg/kg