(a) Use properties of quadratic functions to prove that 6(x - 1)² ≥² for all real x > 2. (b) Use mathematical induction and the inequality from part (a) to prove that 4-6 ≥ 5+1 + (n − 1)² for all integers n ≥ 2. (c) Let g(n) = 5+¹ + (n − 1)² and h(n) = 6". Using the inequality from part (b), prove that g(n) = O(h(n)). You need to give a rigorous proof derived directly from the definition of the O-notation, without using any theorems from class. (First, give a complete statement of the definition. Next, show how g(n) = O(h(n)) follows from this definition.)

Q: 24. Find d²4 zP 2. xp 4=3x² +34-8

A: Differentiate two times

Q: Conv or dive?

A:

Q: -₩220-13

A: The given inequality is -14t≥25t-13 We have to find the solution set .

Q: is 63 a multiple of 9

A: is 63 a multiple of 9

Q: There are two more questions pleade

A: I have to answer for part-d and part-e, so i use the previous result .

Q: a2 - 4 = 0

A:

Q: determine the value of 25P2.

A:

Q: Blank of 80 is 50

A: Blank of 80 is 50

Q: I wanted help with 22 not 21

A: 22)

Q: Evaluate 0 b 0 10

A:

Q: 16cups=?qt

A: We will solve the problem

Q: Evaluate  P43 and C96

A: Solution

Q: 36 please

A: Given rt=cost i +sint j +2t k  ,  t=π3

Q: Can you answer D plz

A: We need to determine which of the sales, 170 CDs or 200 CDs, yields a higher revenue.

Q: Evaluate 2T de.

A: Use the Residue theorem to evaluate this integral.

Q: 8sin 75 = 4

A:

Q: 52n= 125

A: We have to find n