Math Answers

0.4i'+10i=40-sin35t

Ahmad Fishing Line Inc. produces 10kg test line. 12 randomly selected spools are subjected to tensile-strength tests. The results are as follows:

9.8 10.2 9.8 9.8 9.6 9.1 9.7 9.7 10.1 9.4 10.1 9.7

Use the fact that tensile strength is normally distributed to decide whether Ahmad Fishing Line’s 10kg test line is not up to specifications. Perform the required hypothesis test at 5% significance level.

a)     Suppose P (x, y) denotes the equation y=x+8, what will the truth values of the Propositions P (2,2), P (0,4).

Construct a table of values of the following functions using the interval of -5 to 5

g(x)=x³+3x-5÷x²

If the statement q ^ r is true, determine all combinations of truth values for p and s such that the statement (q -> [¬p v s]) ^ [¬s -> r] is true.

let q(x) denote the statement x is an integer . what are the truth values of the following?

((~a^b)^(b^c)^~b

Use any of the two proof methods to prove:

((~a^b)^(b^c))^~b

A light hangs 15 feet directly above a straight walk on which man 6 feet tall is walking. How fast (in ft/sec) is the end of the man’s shadow travelling when he is walking away from the light at rate of 3 mile per hour. 

Exercise 9:

Draw a full binary tree having the following properties

1. Four internal vertices and five terminal vertices.

2. Height = 3 and nine terminal vertices.

3. Height = 4 and nine terminal vertices.