Compute the following: (a) 4!, (b) (), (c) (₂), (d) (), (e) (7), (f) (2)-(2) where n is a non-negative integer.

Q: b) 4(x – 4)(x + 2)² (2x – 1)³ < 0 - -

A:

Q: (1) IF: ā=21-j+ k, b=i+2j- 3k, č=-3i+2j+ k Find : a.b, ã.č, č.ã‚ (a+b).(a−b),(ã+ê).(ā-č) (a +2b-3c).…

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Q: Please prove 2(b)(iv)>(v)

A:

Q: (4x -1-7) dr– (5x - 21-8) di = 0, when 1 = 1, x = -2 D (x-1-1)' = 8 (2r-t-3) O (5x - 21 - 8) = 3 (2x…

A: (4x-t-7)dx-(5x-2t-8)dt=0 when t=1, x=-2

Q: Show that P(n, 1) + P(n, 2) = (22) – 2 (2), for integers n ≥ 2.

A:

Q: 27 Find (all) the value(s) of c such that 3c" n= (A) c=3 (В) с— 4 (C) c = - (D) c=} 33 %3D (E) с 3…

A:

Q: 2+² = (16*-¹)(2)

A: The given equation .We have to find the value of that satisfies the equation.

Q: Let A = d ghi Assume that det(A)=-11, compute the following. NOTE: Enter all values exactly. (b) det…

A: Topic = Determinant As per guidelines , At a time only three sub-parts can be answered. please…

Q: * n(A) = 11- n(A J B) = 15. and n(B) = 13, what is n(ANB)? n(ANB)

A: Solution: From the given information,

Q: (c) Check whether or not: Q (2¹/³) = Q(4¹/3) Also obtain (Q (2¹/³): Q].

A: We first find [Q(2^(1/3)):Q]  Then using this prove that Q(2^(1/3))=Q(4^(1/3))

Q: (a) Compute A2, A3, .•. , A7• (b) What is A2015?why?

A: (a) Compute A2, A3, .•. , A7• (b) What is A2015?why?

Q: GIVEN: xihl i+ 2) 드 hai (-1)" (n + 2) 2"+1(n + 1) 4. Compute the exact value of n=0

A:

Q: (1) How much is 0! ? (by convention on). 0!

A: (1) Given

Q: 4x – 2 > 2(x + 6)

A:

Q: (c) (i) Express the decimal 9.999 in the form where a, b € Z.

A:

Q: LET fCe) =12-31.. If Find: (a) fCu) え40 (b) ) fcn) it n z5

A: topic - functions

Q: C Compute the following expressions.

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: If n = 17640 then find (n)

A: Given: The given value of n is 1640. To find: The Möbius Mu Function of a given number. That is to…

Q: (i) Deduce that the difference in the number of integers in the numerator and denominator of (* 2N N…

A: Properties of floor functions will be used.

Q: x(n) = (0.8)" (-n-1) 1-(00) O 2 O otherwise -1 1-(00) 1-(08) +1 0 4JA O 3 JA

A: Topic:- z transform

Q: Show that if s(3) 4(q- _9−2+9(1+ 93 2(g-1) increasing or decreasing. For 3 > 0, q> 3

A: The given function is                               sβ=q-2+q1+4q-1qβ122q-1 where β&gt;0 and q&gt;3.…

Q: - Evaluate the followings: (i)-r' (4) (ii)-(2) (ii) (-3) Г (iv) Γ(0.5)

A:

Q: n² -1) 2n³ + 1

A: ∑n=1∞ -1nn22n3+1 use the alternating series test an=n22n3+1 an is positive and monotone decreasing…

Q: Suppose L(x) = "x is a llama" and E(x) = "x is an emperor." Do the following to statements mean the…

A: Consider the given information:

Q: If a, = n(a, -1) and a, = 1, what is the value of (1) 5 (3) 120 (2) 20 (4) 720

A: Here we have,

Q: 1. What is the value of 4x +x' when x- 16?

A:

Q: 3 - 4 fX = the value of X" is - 1 %3D

A: We have to find the value of X^n

Q: Show that E(r(r + 1) =- n(n + 1)(n + 2), n E N.

A: We have to show that ∑r=1n(r(r+1))=13n(n+1)(n+2)           ∀n∈ℕ

Q: (:)? /3 9. Which of the following is equal to (b) (–1)"-12·5., 3"n! 3.5-7..... (2n + 1) (Зп — 4)…

A: