(2) (a) Show , if n2 - 6n + 5 is even, then n is odd for every integer n. Prove by contrapositive. (b) Prove that n(6n +9) is divisible by 3 for every integer n. (c) Use a proof by contradiction to prove that the sum of an irrational number r and a rational number a is irrational.

Q: –2q + 20=

A: Here , we will find the value of q

Q: Find AB.

A: Let  A=210-3-70-24 and B=4-2011-2005-3-10 The order of a matrix is number of rows× number of…

Q: Find å · b for å = (4,1, →) and b = (6,–3,–8).

A: Topic:- dot product of vectors

Q: Plot P(2, -4, 1) and Q(0, 3, 4) on the same set of coordinate axes

A: Given: plot P(2, -4, 1) and Q(0, 3, 4) .

Q: The set S = {x : I ½x - 3 I > 4 }.

A: Given set is We need to find the set in the interval form.

Q: 8. X(2, 4) translated (x + 3, y– 3).

A:

Q: Find 2. 2 i

A:

Q: y X (9, –3)

A:

Q: dt t2-t-6

A:

Q: Multiply. (ex − e−x)2

A: Here we multiply this:

Q: what is mode?

A: Mode:Mode is used as a measure of central tendency. The mode is the most frequently occurring value…

Q: If p = [7, 2]  and  q = [5, -1], find p - q.

A: Given: p = [7, 2] and q = [5, -1]

Q: Plot the following six points: (- 5, 4) (1, 3) (- 2, – 1) (4, 0) (2, – 3) (0, - 2)

A:

Q: Find the value of each expression if x = 2 and y = - 1. (xy)2

A:

Q: Simplify. (4y²– 2y-3)+(3y²–5y-4)-(8)²-4y-8)

A: Given :

Q: Complete each step. a'a6 a4 4 - 4 a II II II

A: An exponential expression consist of powers of variables or numbers. An exponent in exponential…

Q: Let a = (-1,0, 5) and 6 = (3,-1,0). Find à x 6. < V

A:

Q: find az and dz if uv u=1+St, v= S? ta

A:

Q: What is the value of

A: We know, i=-1

Q: Solve the equation of the line that pass through A (1, 2, 3) and B (4, 5, 6).

A: we have to find the equation of a line passing through the points A (1, 2, 3) and B (4, 5, 6). the…

Q: Find the real numbers x and y if  2x –i = 6 + ( 1 – y )i

A: Given that  2x –i = 6 + ( 1 – y )i Find the real numbers x and y if

Q: Specify a linear combination in terms of coefficients?

A:

Q: Find the point of the way from (-5, –10, 0) to (-9, 10, –4).

A: Let A(-5, -10, 0), B(-9, 10, -4)⇒a→=(-5, -10, 0), b→=(-9, 10, -4) Let P(p→) be the point 15 of the…