Sketch the graph of a function f that has all of the following properties: (i) (ii) (iii) (iv) f(1) / (-1), lim / (3) = 2, f'(2) = 0, /" (x) > 0on ( 1, 3). 1. वर्ष 2. 3. -4 4. M 5. 2 6. M 2

Q: Prove the following fact: A" = 3"-1A. 1 1 1 1 1 1 1 1 1 A =

A: Given, A =111111111  We have to  prove An = 3n-1A

Q: A= B = 3 5 7 -2 . -3 1 [-2 6 L-3 61 3 4. 1 21 1 -2 0 5.

A:

Q: Consider the statement Vxy (y <x) Let x be all natural numbers Let y = x-1 Is the statement true or…

A: We know that the set of natural numbers starts from 1 and it is an infinite set. This set is…

Q: A = B = 2 (1) Find a matrix C which satisfies 3A + C = B. C = (2) Find a matrix D which satisfies A…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: (2c) Prove or disprove the following statement: “ A UBCANB for any A and B "

A:

Q: If A= 2 1, then the Accompanying worker for o 41 1. (a,) 2. (a) 3. (a,,) 4. (a) A. -4 B. -12 C. -1…

A:

Q: If P (A)=0.6, P (B)=0.1, and A and B are mutually exclusive, find P (A or B).

A:

Q: dy de Xoy. -Secxy)

A:

Q: Let 4; = {0, i} . Find U4, and N 4. i= 1 | A;. i= 1

A: Given :  Ai =  0 , i    To find :  The union ∪i=1∞ Ai    and the intersection  ∩i=1∞ Ai   .

Q: Let A = {x € Rx > 5 and x 15 and x 8 and x < 12

A: Given:- A=x∈R|x≥5 and x&lt;18 B=x∈R|x≥15 and x≤22 C=x∈R|x&gt;8 and x&lt;12

Q: Let X-Bin(5,0.5), then P(x >3|x >2) is

A:

Q: f(x) = -12-21x + 18x^2 - 2.75x^3 what method will give a root of the function equal to - 0.287425 in…

A: We will use a numerical method to determine what will be the value of root of the given function in…

Q: if fcx) = _X then f (-1) is: |-X

A:

Q: If (R – {0}, .) = (Q,.) then 1=0 1=-1 -1=0

A: For the given statement

Q: Let X~Bin(6,0.5), then P(x >4|X >3) is O a. 0.759 O b. 0.524 O C. 0.318 O d. 0.344 O e. 0.143

A: Binomial distribution N=6 P=0.5 q=0.5

Q: Let D = {-2, -1, 0, 1}. Let E = {0, 1, 2, 3}.

A: Answer

Q: c ?) n=D0 is it Conv or div--

A: Here is the solution

Q: Let ā= . Find |āà.

A: Here we will find the magnitude of vector a,

Q: 3 I- 0) = [u- w -3 [-1 4] 6.

A: We will solve it in parts Consider 0-1453-101-1 = (0)(5)+(-1)(-1)+(4)(1)    (0)(3)+(-1)(0)+(4)(-1)=…

Q: Let X-Bin (7,0.5), then P(X >4|X >3) is O a. 0.688 O b. 0.646 O c. 0.453 d. 0.393 O e. 0.227

A: The variable X follows binomial distribution with sample size n of 7 and the probability p of 0.5.

Q: ах (bxc) - о then...

A:

Q: Let  Z∼N(0,1) . Then  P(Z>−0.73)  is     A.) 0.7673     B.) 0.4757     C.) 0.9418     D.) 0.6215

A: Given: Z~N (0,1)

Q: Let a = . Find Ja]. - 2, 2,1 >. Find lä].

A:

Q: Let á = . Find Jä].

A: Let's learn the concept.

Q: The set {(a,b) : a EA and b EB} denoted by ...............

A:

Q: and vauiance if xN Exp(@)find for yae mean

A:

Q: If a|b, then a|(bc). Direct proof.

A:

Q: 1. Show that (a) Sijij=3; (b) €ijkAjAk=0; (c) Sijdjk= Sik.

A:

Q: Let U = R, A =[-6, 3), B = (-1,5), and D = [-7, 1]. Find (i) AN Bº (ii) (BUD)e

A: We use De' Morgan's law and union, intersection and complement of set to answer the given question.