Show that 1+2+3+...+n= ("""). (";"').

Q: Solve for r: In(x) + In(x + 2) = 3

A: Use the properties of lograthim and simplify.

Q: Let 21 = 2+ j3 and z 4 j5. Evaluate

A:

Q: In 9 - x= 16, how would you come to a conclusion if x can't be considered negative?

A: Consider the given equation

Q: even

A:

Q: this is all incorrect

A: The sample size n is 21 and p=0.66.

Q: 6. Evaluate In (x - In (r-...))dr in terms of some new variable t (do not simplify).

A: Given :- ∫lnx-lnx-...dx To find the given integral in terms of some new variables t

Q: 4. Conclude that n2 n=1 ||

A:

Q: et z = 6ex²y³ find O 12xy³ex²y³ O 18x²y²ex²y³ O 18xy³x²y³ O 12x²y²ex²²³ дz ax

A: Given, z=6ex2y3

Q: 2. Show that (a) Re(iz) - Im z; = (b) Im(iz) = Rez.

A:

Q: Prove that S4 = ((1 2 3 4) , (1 2 4 3) ). %3D

A: As you asked for question number 8 , and hence here it is.

Q: (b) Show that o = 2[Rx(0) - Rxx(0)] XX

A:

Q: ди(х,у) а) ди(х,у) = 0 ду ди(х,у) ди(х,у) b) ax - и (х, у) ду

A: (a) We have given a partial differential equation ,  ∂u(x,y)∂x - ∂u(x,y)∂y = 0 We will use…

Q: 4. Prove that 3i² + i = n(n+ 1)?

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Q: 2, then the conju

A:

Q: In a study of pain relievers, 50 people were given product A, and 38 experienced relief. In the same…

A: It is obtained that: For product A: Total participants=50No. of participants, who got relief=38 For…

Q: Prae that x4 -5x +3 is ineducible ouer Q

A: Given polynomial is f(x)= x^4 -5x^3 +3

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

A:

Q: In a village out of 200 people it was found that 55 people are infected from Malaria, 72 people are…

A: Solution: From the given information, 55 people are infected from Malaria, 72 people are infected…

Q: Find a three-digit positive integer such that the sum of all three digits is 14, the tens digit is…

A:

Q: (16) Show that AB=BA for 0 0 0 3 0 0 0 1 A = and B = 0 3 1 2

A: A=-100030001 and B=500030002

Q: A true or false test consist of 10 questions. If all the questions are answered, in how many…

A: Given that all questions are true or false type. So each question has 2 choices.  There are total 10…

Q: Show that there are infinitely many examples of two consecutive positive integers that cannot be…

A: According to the given information, It is required to prove that there are infinitely many examples…

Q: Which of these will prove the 10th step and the reason ?

A: Given : To find : The statement 3 and give the reason.

Q: 6. Show that =+ E-(-1)"(n+ 1) E)". when Iz – 2| < 2.

A: Seriese expansion

Q: Who has an answer for these??

A: Question 1 : If  p and q are true and r is false. That is,  p =T , q = T and r = F Then ( q ∧ r ) ∨…

Q: When the positive integer n is divided by 3, the remainder is 2 and when n is divided by 5, the…

A:

Q: 1. Find r (-) and r (-)

A: We can answer first question as per the honor policy. Please resubmit the other question on by one…

Q: Prove:

A: We will prove the following result.

Q: y is a positive integer. If x-(-y)=z, will z be greater than or less than x?

A: Here we have the relation z=x+y. and y is always a positive integer.  So z is always greater than x.

Q: - is a real num 1S y+z= 6, 4x +

A:

Q: Prove

A:

Q: Зл. What is tanº 4

A:

Q: SHOW THAT 30 to Xン0

A:

Q: 6. Show directly that inf(B) = 1 for B {N =: 4+1} -

A: The given expression is,  B = {1+1/n : n belong to N}

Q: Suppose person X was infected by a virus and it gets to infect three persons in a day. Each of these…

A: Suppose person X was infected by a virus and it gets to infect three persons in a day. Each of these…

Q: Show that  1/3 Tn + 2/3Mn ) = S2n.

A: By definition, Tn=12∆xfx0+2fx1+....+2fxn-1+fxnMn=∆xfx1+fx2+.....+fxn-1+fxn…

Q: D. Let Find 2,-

A: We will find out the required value.

Q: TO -n invested on the day of their niece" uously? $

A:

Q: 6) Prove mathematically that (1 grad = 0.9 deg)

A: We know, that 1grad= 0.9 deg.  we can solve any other similar problem by multiply the number of…

Q: Prove they are equal 4 = 7(2x+ 1) - 5x -3(3x + 1)

A:

Q: 2. Show that () (":")-).

A: 2. We have to show that Nk=N-1k+N-1k-1 The formula for combinations is, Nk=N!N-k!k!

Q: The doughnuts look the same on the outside, but have different fillings inside. Each box contains…

A: The 3 kinds of doughnuts in each box are : 4 lemon, 2 chocolate and 2 jelly The total no. of…

Q: new employees, two of = that are lined up in a row.- -obability that the married

A: To find:  a. The probability that the married couple will have adjacent desks. b. The probability…

Q: Express in both (6+j5) ® (-16-j9)

A: 16+j53 x+jy3 and x=6, y=5∴r= 62+52r=36+25r=61and α=tan-156=39.81°θ=180+39.81=219.81Polar form…

Q: of dr? e-ex

A:

Q: Show that

A: (i) To prove that                   22+42-822+3=0