20n21 is O(21n20) True True. False

Q: Prove the following statement: 22 +23+24+... 2n+1 = 2n+2-4

A:

Q: Is 22n O(2")? Justify your answer.

A:

Q: 12sin(45) does not equal 12cos(45)

A: 12 cos(45°) and 12 sin(45°) are equal because  cos(45°) = sin(45°) = 1/√2

Q: It is given that (²1) = 4, (3) k 2 -(" + ²) Write and expression for = B, (x+1)= = C (where n, k, A,…

A: Use the properties of combination.

Q: Evaluate 5e dx In 5 + 1 In 2 +1 O In 5 + e None of these

A:

Q: 4x=22(mod10)

A:

Q: 1. Which of the following statements are true and why? (a) If 5 is a prime number then January has…

A: Solution by using conditional statements

Q: +6n +3 is Θ (n)

A: 1st expression is TRUE

Q: 2(210) 2(510 210) 510 210 510 3 2 1 show that 1 4 2(510)210 10

A: To calculagte the 10th power of the given matrix in the required form

Q: Which expression shows the number of possibilities for 1st, 2nd, and 3rd in a soccer league of 18…

A: We have to find no. Of permutations possible.

Q: How do we proof that 2logn = n?

A:

Q: prone 2 + 4 + 6 + + 2n = n(n+1). for every nz 2.

A:

Q: Evaluate [14*15*0.3](6)

A:

Q: Can I please have this re-writen?  Is it B(60)??? I cannot tell what that symbol is

A: Let, the woman invested $x at the rate of 8%. Then the amount invested at the rate of 9% will be…

Q: 6. Letn be a positive integer. Prove that 1+ 4+7++ (3n − 2) = = 3n² 2

A:

Q: Is the following proposition true or false? Justify your conclusion. n For each natural number n, 3…

A:

Q: 4s + 32 L-1 (s² – 16). wwww.

A: Given that  (4s+32)/(s^2-16) To determine the inverse Laplace

Q: √38 10 V √ 65

A: To check whether the given triangle is right triangle or not.

Q: 720 can also be written as А. 2! х 3! В. 3! х 4! C. 2! x 5! D. 3! x 5!

A:

Q: In(e-7)=7 O True O False

A: We have to slove above ln question

Q: i do not undertstand where the 8 has come from in q2c

A: Part c,            4log32-log34-2log33-log312

Q: he answer is not liisted for this question

A: We can solve the given question .

Q: Use (9.11) and (9.12) to simplify (ABTC)T, (С-1мс) -1, (АН) -"(АНА-1)"(НА-1) -1.

A: For (ABTC)T by using (9.11) we get (ABTC)T = CT(BT)TAT As (BT)T = B Hence (ABTC)T = CTBAT

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.