P(-2 < Z < 2)

Q: From z= 0 to z = 1.57

A:

Q: k と(-1)* k2 +1 k=1

A: LEIBNITZ TEST According to this test, a series of the form ∑k=1∞-1k·ak ; ak&gt;0 will be converging…

Q: %3D k (n+1) (k-10 (n+1) k +1 (*) n+1)

A: The correct option is the last option. The detailed solution is as follows below:

Q: Σ k! k=1

A:

Q: Min z = 4x1 + 2x2 s.t. 3x1 + x2 ≥ 27 -x1 - x2 ≤ 21 x1 + 2x2 ≥ 30 x1 and x2 are unrestricted .

A: the given LPP is as follows Min z=4x1+2x2 subject to  3x1+x2≥27-x1-x2≤21x1+2x2≥30 where x1,x2 are…

Q: k! k 1

A: Consider the given series

Q: a bijection (not the binomial theorem!), prove that for n E N Using Σ-1()- =0

A: Here we know that:

Q: found z already what is w?

A: Definition: A set x1, x2, …, xn of a vector space is linearly independent if there are scalars α1,…

Q: µ = 3, o² = 9, P(−6 < X <12) a. Determine P(µ − ko < X < µ+ ko) ≥ 1 − 1/k²

A: The question is about Chebyshev's inequality Given : μ = 3 σ2 = 9 So, σ = 3 .... by taking square…

Q: Given f(x) = a - 4x, then f'(r) = 4x²(x – 3). The critical numbers are x = and x= f"(x) = 12x(x –…

A: Hair we have to find out the point of inflection and critical point.

Q: 75. For a certain bowling league, a beginning bowler computes her handicap by taking 90% of the…

A: Given: a beginner bowler computes her handicap by taking 90% of the difference between 220 and her…

Q: Direct proof for ~N • ~M, ~P → N, ~N → Z, (Z • ~~P) → K, therefore K • ~M

A: To write the direct proof for ~N • ~M, ~P → N, ~N → Z, (Z • ~~P) → K, therefore K • ~M

Q: (b) Determine the value of k for which p(x) = k (0.01)*, x=1, 2, 3, ... x-1

A:

Q: 8+ド. K 13 let y6)=1 andyい し" Find Ķ

A:

Q: (a) an = }(n² + n). (b) an = 2an-1 – an-2 with ao = 0 and aj = 1. (c) an = nan-1 with ao = 1. %3D

A:

Q: using con |' 1 P+ (1)

A:

Q: 15. Suppose X - Bino(2,). Find P(X = 0|X < 1). (а) 3/4 (b) 1/4 (c) 1/2 (d) 1/3 (е) 2/3

A:

Q: ormalisation, show that, for any triple v = [n; p; h], v = Pv₁ + av₂ + bv3 where P = n+p+ h is the…

A: The population has been divided into three categories: covid-negative, covid-positive, and…

Q: show that |z3|  ≠ |z4|  it is verified that |z1+z2/z3+z4|  ≤ |z1|+|z2|/|z3|-|z4|

A:

Q: Find the value of t so that t 4 -4| 2 3 3=4 4 5 0

A:

Q: z = ecos(2x)

A:

Q: alue of 'A' the g has a non-trivia

A:

Q: 2 and g(x) = x + 2x + 11 Let A = Find the sum of the entries of g(A).

A:

Q: (a) Evaluate . z²e1/z where c is z = 1.

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: a. Find P(x-4) X P(x) 0.33 0.09 0.12 7 0.25 b. Find P(x2) 3 13 P(x) 0.25 ? 0.15 0.10 0.13

A: As per guideline expert have to answer first three subparts only please upload otyer parts as…

Q: C=k-2 express ((c^2)-(k^2))-2 in terms of k

A: C=k-2 express ((c^2)-(k^2))-2 in terms of k

Q: 2 X² test for goodness of fit Show that - 2log 2

A: Hint: First find the expected Frequencies for 6 faces. Then, apply the chi-square test of goodness…

Q: ind the Wronskian of: 18x - 6 18x + 6 6x - 18 6x + 18 f₁ = x² - 6x f₂ = x² + 6x f3=x²-3

A:

Q: n+2n Show that represents an integer Vn EN.

A:

Q: 7 45 and fourth term of (3x -) 6. Find the product of expressed 2 as P.

A: The complete solutions are given below

Q: Σ (-1)* True/False: We have = -1. (2k)! k=0

A: We know thatcos(x) = ∑k=0∞-1kx2k2k!

Q: (b) Pr[X > 0.6n] < 0.85. Let X be the number of HEADS after n fair coin tosses. Show that

A:

Q: HW Solve the fallowing first order 0E. -3= \-3+メー

A:

Q: Determine coefficients a and b such that p(x)=x^2+ax+b satisfies p(1)=-6 and p’(1)=-7.

A:

Q: Find the least value of “n" so that , k=n 1 199 Sn 2k-1 k=1 200

A: Given:          Sn=∑k=1n12k−1&gt;199200

Q: Employ a suitable c 2n² +3n diverge (a) V5+n² n=1

A: ∑n=1∞2n2+3n5+n5limn→∞an+1an= limn→∞2(n+1)2+3(n+1)5+(n+1)52n2+3n5+n5= limn→∞…

Q: 5. Find interval values for Z such that P(-z <Z < z) = 0.9886.

A: Given, Pz&lt;Z&lt;z=0.9886and Z~N0,1

Q: The series k=1 3k (k² + 1)“ + 20

A:

Q: (i) (ii) Show that 8; &k = &k Әхк Әхі Əхі Әхі чо

A:

Q: the degree of homogeneity, if there is one, for eac 1 X1,X2, X3) = - xf +x +x X2 X3 O gro finotion:…

A: Introduction: For a function f(x,y), the degree of homogeneity is an integer n such that,…

Q: B = {1 + x + x², x + x², x²}. for P2. Let p(x) = 1 + 3x + 2x². Then [p(x)]B = 2 of 2 1 None 1 2

A: The given set is: B= 1+x+x2, x+x2, x2

Q: (In 2x)' In V k.

A:

Q: (-1)*k 42. k4 + 1 k=1

A:

Q: 4.By applying the Convolution Theorem to calculate L-1 is obtained: Determine the value of (a+b): a…

A: We have to find the solution.

Q: (ii) Find the rank and nullity of the

A: given matrix A=20464-7201-5247-92-4 to find the rank and nullity of the matrix

Q: 5th term of the G.P 3,6,12 ....is?

A:

Q: B. Use indirect proof 1. Show that: Vx€z, if x2- 6x+ 5 is even, then x is odd.

A: Given : x2-6x+5 is even for all x∈ℤ   To prove : x is odd As x2-6x+5 is even . So,  x2-6x+5=2m for…

Q: (a) Find the extreme values on [–1,4] of p (x) re-z²/8. = xe

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: {1 + x + x, x + x², for P2. Let >(x) = p(x)]B = 1 + 3x + 2x2. The

A: Here we have, B=1+x+x2, x+x2, x2  for P2. Let p(x)=1+3x+2x2 We have to find, p(x)B=?

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.