Search & Filtering
What do universal set, S, have 91 elements. A and B are subsets of S. Set a contains 20 elements and CB contains 44 elements. If sets A and B have 6 elements in common, how many elements are in A but not in B?
A Survey of 118 persons was conducted at TCC, and it was found at 24 persons carried a cell phone, 59 persons carried a tablet computer and 12 carried both a cell phone and a tablet.
- how many people carried a cell phone or a tablet?
- how many people carry neither a cell phone nor a tablet?
- how many people carried a cell phone only?
- how many people carried a tablet but not a cell phone?
a) A study was conducted on some 400 employees of a certain company to establish the favorite beverage from among Coffee, Tea and Cocoa. The following was observed:
145 employees preferred Coffee, 165 preferred Tea while 185 preferred Cocoa. The number of employees who did not choose any of the three beverages was similar to those that preferred Tea and Coffee. 65 employees preferred Coffee and Cocoa. The number that indicated a preference for Coffee or Cocoa but not Tea was 180. If the number that did not indicate a preference for any of the three beverages was 55, use the information to answer the questions that follow:
i.Represent the above information in a well labeled Venn diagram. ii. Obtain the number of employees that preferred Tea or Cocoa but not Coffee. iii.Calculate the number of employees that prefer at most one beverage.
A,B,C.
(A ∪ B) ∩ C
Let P (x,y) denote the sentence 2x+y=5. what are truth value of the following domain of x and y is the set of all integers?
The trivial negation of a proposition is: “It is not the case that [proposition]." Write two negations of the following, one trivial and one not trivial.
(a) It is snowing. (b) At least 3 inches of snow fell yesterday. (c) 1 + 2 = 3.
2fn-f(n-2) = fn+1 for n>3
2.1 Differentiate f(x) = (2x3 + 3x2
)(x2 + 5x3 +5) using product rule. (5)
2.2 Differentiate f(x) = (8x
3 + 4x )(2x
2 +5) using product rule. (5)
2.3 Differentiate f(x) =
5𝑥³+7𝑥
2𝑥²−4𝑥+5
using quotient rule. (5)
2.4 Differentiate f(x) =
𝑥³+4
4𝑥− 5
using quotient rule. (5)
2.5 Differentiate (x5 + 6)5 using chain rule (5)
and (pvg) → are logically equivalent. (Don't use truth table for this problem)
O
U
(P and -r)or(-q and r)
