Math Answers

Draw the Hasse diagrams of all partial ordered sets with at most 4 elements. Which of these are lattices?

In a sample of 300 students, 68% said they own an iPod and a smart phone. Compute a 97% confidence interval for the true percent of students who own an iPod and a smartphone.

Find wheather the vectors (2 0 0 0) (2 0 0 8) (0 0 0 0) and (2 0 9) are linearly dependent or not

Solve the partial differential equation (3D² +10DD'+ 3D ^1^2)z^ =e^x-y

-2 is the limit point of [-3,2]

True or false with full explanation

Given the following 2 premises, 1. 𝑝→(𝑞∨𝑟)

2. 𝑞→𝑠

Prove 𝑝→(𝑟∨𝑠) is valid using the Proof by Contradiction method.

(4xy²z³+1) + (-10xy²z³-3)

(i) Using Cayley Hamilton theorem, find 𝐴

8 − 𝐴

7 + 5𝐴

6 − 𝐴

5 + 𝐴

4 − 𝐴

3 + 6𝐴

2 +

𝐴 − 2𝐼 𝑖𝑓 [

1 2 −2

2 5 −4

3 7 −5

]

Leah Papa’s working hours for one whole week (from Monday – Saturday) is 

8, 9.5, 8.5, 10, 8, and 11 respectively. Represent the data of her overtime with the 

use of a table and a graph.

y’’’’-5y’’’+6y’’+4y’-8y=0