Fn is even if and only if 3|n.

Q: 2 -u²+1 du

A: Here we have to find the value of the integral : ∫1-u2+1 du

Q: Then A-1 If A = 5 1 -16 -3 0 0 0 -1 0 w 00+ 4 -13

A:

Q: 1+ x Σ Aa" (1 – 2)? n=0

A:

Q: If a = (4, 0, 4), b = (3, 4,-4), and c = (0, 4, 5), show that a x (b x c) = (a x b) x c. 60i + 96j -…

A: Solution: Step-1                         Given if a = 4, 0, 4 ,b = 3, 4, -4, and c = 0, 4, 5, show…

Q: Use the set A = {2} to determine n(A). n(A) =

A: We have given a set  A=2 Number of elements in set A is 1. nA=1

Q: Prove the statement if it is true, and give a counterexample if it is not true. a. For every real…

A: Both the subparts are solved with explanation.

Q: Prove the identity |a − 3b|^2 + |3a + b |^2 = 10|a|^2 + 10|b|^2

A:

Q: 0 - 9 Let A = - 3 7 Find - 4A. - 4A =

A: Solution: The objective is to find the value of -4A

Q: Solve; |2x  + 1|   x  > - 1 -2 > x > 1

A:

Q: Which of the following statements is true? Group of answer choices The probability of dying in…

A: Given four statements about the survival function.

Q: 5. Show that 1.2+2·3+3.4+...+ (n − 1)(n) = (n³ − n)

A:

Q: Show that any positive integer n with n ≥ 4 can be expressed as n = 2x + 5y where x ≥ 0, y ≥ 0.

A:

Q: 1. (a) Prove that if alb and alc. then alb² + 10c + a.

A:

Q: b. {r|x € N and 7 <x< 14}

A: Given,  x|x∈ℕ and 7≤x≤14

Q: 2 + 4 + 6+ . . . + 2n = n(n + 1)

A: On solving this we will get

Q: Find m if m is not zero, and 3/21 = 8/m

A:

Q: When a number is raised to a power, is the result always larger than the original number? The result…

A:

Q: Determine the value of n if it is known that (n + 1) P 3 = 24 {n C (n - 4 )} а.

A:

Q: Select the function that is O(2n).   3n n! n2 nlogn+4n

A: Please check step 2 for the solution.

Q: Let B = -3 {CHEMED} 0 Find [x]s 3 3 and x = -8 23

A:

Q: If then A-1 = A = 1 -3 -6 2 0 0 0 1 0 0 1 1 0 -2 -1 1

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.