Answer:
Step-by-step explanation:
Q1: (x-1) * (x+1) * (x-2) * (x+2)
Q2: x'1 = -1/3, x'2 =2
Q3: i dont get this one sry
solution
1 inch = 2.54 centimeters
Therefore, to convert to cubic measurements
(1 in)³ = (2.54 cm)³
Thus;
1 in³ = 16.387 cm³
Hence 305 cubic inches will be equivalent to
305 × 16.387
= 4998.035 cm³
We will set a variable, d, to represent the day of the week that January starts on. For instance, if it started on Monday, d + 1 would be Tuesday, d + 2 would be Wednesday, etc. up to d + 6 to represent the last day of the week (in our example, Sunday). The next week would start over at d, and the month would continue. For non-leap years:
If January starts on <u>d</u>, February will start 31 days later. Following our pattern above, this will put it at <u>d</u><u> + 3</u> (28 days would be back at d; 29 would be d+1, 30 would be d+2, and 31 is at d+3). In a non-leap year, February has 28 days, so March will start at <u>d</u><u>+3</u> also. April will start 31 days after that, so that puts us at d+3+3=<u>d</u><u>+6</u>. May starts 30 days after that, so d+6+2=d+8. However, since we only have 7 days in the week, this is actually back to <u>d</u><u>+1</u>. June starts 31 days after that, so d+1+3=<u>d</u><u>+4</u>. July starts 30 days after that, so d+4+2=<u>d</u><u>+6</u>. August starts 31 days after that, so d+6+3=d+9, but again, we only have 7 days in our week, so this is <u>d</u><u>+2</u>. September starts 31 days after that, so d+2+3=<u>d</u><u>+5</u>. October starts 30 days after that, so d+5+2=d+7, which is just <u>d</u><u />. November starts 31 days after that, so <u>d</u><u>+3</u>. December starts 30 days after that, so <u>d</u><u>+5</u>. Remember that each one of these expressions represents a day of the week. Going back through the list (in numerical order, and listing duplicates), we have <u>d</u><u>,</u> <u>d,</u><u /> <u>d</u><u>+1</u>, <u>d</u><u>+2</u>, <u>d+3</u><u>,</u> <u>d</u><u>+3</u>, <u>d</u><u>+3</u>, <u>d</u><u>+4</u>, <u>d</u><u>+5</u>, <u>d</u><u>+5</u>, <u /><u /><u>d</u><u>+6</u><u /><u /> and <u>d</u><u>+6</u>. This means we have every day of the week covered, therefore there is a Friday the 13th at least once a year (if every day of the week can begin a month, then every day of the week can happy for any number in the month).
For leap years, every month after February would change, so we have (in the order of the months) <u></u><u>d</u>, <u>d</u><u>+3</u>, <u>d</u><u>+4</u>, <u>d</u><u />, <u>d</u><u>+2</u>, <u>d</u><u /><u>+5</u>, <u>d</u><u />, <u>d</u><u>+3</u>, <u>d</u><u /><u>+6</u>, <u>d</u><u>+1</u>, <u>d</u><u>+4</u>, a<u />nd <u>d</u><u>+</u><u /><u /><u>6</u>. We still have every day of the week represented, so there is a Friday the 13th at least once. Additionally, none of the days of the week appear more than 3 times, so there is never a year with more than 3 Friday the 13ths.<u />
The answers to the questions are
(i) B - A = Ф / null set
(ii) A - B = {1, 2, 3, 5, 6, 8, 9}
(iii) (A - B) ∩ (B - A) = Ф / null set
(iv) (A - B) ∪ (B - A) = {1, 2, 3, 5, 6, 8, 9}
A set contains different elements which are mathematical objects of any kind such as numbers, points, spaces, lines e.t.c.
Different types of set are -singleton setsfinite and infinite setsempty or null sets equal sets unequal sets equivalent sets overlapping sets disjoint sets subsets super sets power sets universal sets
According to question,
i ] B - A = 0/null set
ii ] A - B = [ 1,2,3,5,6,8,9 ]
iii ] (A-B) n (B-A) = 0/ null set
iv ] (A-B) u ( B-A) = [ 1,2,3,5,6,8,9 ]
Hence, the answers to the questions are
(i) B - A = Ф / null set
(ii) A - B = {1, 2, 3, 5, 6, 8, 9}
(iii) (A - B) ∩ (B - A) = Ф / null set
(iv) (A - B) ∪ (B - A) = {1, 2, 3, 5, 6, 8, 9}
To understand more about Set Theory refer - brainly.com/question/13458417#SPJ9