10.10) What is the least common denominator of (1 Point) 3 and 1 ? 3x3 6r2 9x O A.9x B. 18x O C.27x D.54x 11.11-12) If one of the factors of * C F5

Q: 9. Show that exp(iz) = exp(iz) if and only if z = nл (n = 0, ±1, 2, ...). (Compare

A: To prove that exp(iz)¯=exp(iz¯) if and only if z=nπn=0, ±1, ±2, . . ..

Q: 11. If a = y2 and b = y, and -1sys3, then what is the largest possible difference between a and b?…

A: Please refer the attached image for complete solution.

Q: 2. If mZMKL = 83', MZJKL = 127', and MZJKM = (9x – 10)", find the value of x. M. K

A:

Q: how many intergers solutions to x1 + x2 + x3 + x4 = 29 are there for which x1 ≥ 5, x2 ≥ 2, x3 ≥ 6…

A: The given equation is -  x1 + x2 + x3 + x4 = 29 where x1 ≥ 5, x2 ≥ 2, x3 ≥ 6 and x4 ≥ 5 We have to…

Q: (b) Prove or disprove: Z10 ~ Z5 x Z₂.

A: We shall solve first question only as you have asked more than one unrelated question. For others…

Q: 9. Show using the definition of big 2 that x² + 2x-4 is 2(x2). Find values for C and k from the…

A: Using the definition these symbols we can reach to answer.  K=1 C=2

Q: 3/4 Given: 4 2x+ 35 Prove: x= 4

A: Given: 42x+34=35

Q: Derive u and show that 7 X is biased estimator of 2. Can you modify 7T -X in order to get an…

A: The expected value of X is defined as  μ=∫λ∞x.f(x)dx And an estimator to be unbiased its expected…

Q: 4.1c. Show that the product of two integers that can be represented by x2 +dy?, is always another…

A: Prove that the product of two integers of the form x2+dy2 is always of the form x2+dy2. Consider two…

Q: {2, 3} CA implies that 2 E A and 3 e A. Select one: O True False

A:

Q: 1 Show that 2-* d.x 2 In 2

A: We can show the answer in the following steps.

Q: What is s' (x) when s(x) = In (5x³ + 2x? + 4x +6)? Select the correct answer below: O In (15a2 + 4.x…

A:

Q: The set of of solution of x2 - 5x+ 6 0 in Z12 is (a ).{2,3,4} d){2,3,6,11} (b) {2,3} (c) {.2,3,6}

A: Hence option (b) is correct.

Q: 7 of 17 If LAO} =F(s), then L{f{4t)}= %3D

A: Here we solve this from the definition of Laplace transformation.MKMJCDSCDS

Q: of Voots of the equation. 2x+3X+5=0 is The muttiple is Ę 2. 3 Prove That The sum

A: Use the formula for the sum and product of the roots of a quadratic equation.

Q: 3. cooficiant af z" in the apransion 3)11

A: From the Binomial Expansion

Q: Let w be defined as 2 more than the number of digits in the integer w. For example, 15 =4(2 digits…

A:

Q: 5. Show that b, is always positive, by establishing the equation (Qn-1,Qn-1) (Qn-2,Qn-2) b,

A: We will apply the properties of inner-product to prove the given statement.

Q: Show that if ax2 + bx + c = 0 for all x, then a = b = c =0

A: It is given that, ax2+bx+c=0 for all x,  To prove a = b = c = 0

Q: Find the probablity that in one day, the student is studying a. less than I hour b. between 2 and 3…

A: The random variable X be the total number of hours spent by a student to study The probability…

Q: If X is the number of heads obtained in four tosses of a coin, the 1 is 1+X mode of Y =

A:

Q: 2. Find p and q such that |5x - 2| ≤4 implies Ps 23x-4 5 ≤q.

A: Given |5x-2|≤4

Q: Suppose that a certain country conducted tests of a certain type of bomb in 2009 and 2013, and…

A: Define X1: random variable for the power of the explosive in the year 2009 X2: random variable for…

Q: 81/ show that *if ve(Xジーズ) oif v=(

A:

Q: В. a = lass)-(21-1) given that w= In(6x + 2y³ – 3z).

A:

Q: 5.1. Show that y2 , V2 , and v3 + V2 algebraic. are

A: We will use definition of algebraic numbers

Q: ² = 4. Maximize Q = 4xy, where x and y are positive numbers such that x+y %3D y: (Type an exact…

A: topic - application of derivatives

Q: how did the y' and 2y' apearred out of no where in line 7

A:

Q: If m*n Denofes -3伝 + Find the 2mn?

A: Given that m*n=2m-n2 therefore -3*5=2-3-52

Q: 3 1 Without using a calculator, prove that 2 4

A:

Q: 3. Which statement about k (z)= 3z -7z+2 is true?

A:

Q: GIVEN: 2x - 3 = 7 PROVE: x = 5

A:

Q: Consider the following LP Min z = 3x, + 2x, +7x, s.t - x, + x, = 10 -2x, + x, – x, <-10 1 Solve the…

A: Given, Min Z=3x1+2x2+7x3s.t,                    -x1+x2           =10              -2x1+x2-x3≤-10 The…

Q: show that x'-15x +C= O has at most root on E2,2] one

A:

Q: Uつ40+OLU 1ontい し いun 人 の-メS1-Xメーメを interval 3. 3. poutnd to factor p) いUtas0 -use the test -Point…

A: Let's find.

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: Check the lineor delende nee or IndePondence fature for seto below: in M UR 2x2 1 o in PsUR) B)…

A: The solution is given as

Q: 1 Use convolution theorem to evaluate L-1 (s²+9)²)

A:

Q: b) Prove or disprove: Z10 ~ Z5 x Z₂.

A:

Q: 9. If VW = 9x- 11 and SU 16x - 12, find WT. S. 人

A: We are solving the first question and for the next question post the questioon again and alsomention…

Q: 10. Show that F; := 2²' + 1 is composite via Pepin's Test.

A: ......(1) Here we are given the 7th Fermat number. We need to show that, 3F7-12≢-1(mod F7)

Q: 4. Show that if ki = (X; - X)/[Σ(X; – X)2], then (a) Σki = 0; = (b) Σk? = 1/[Σ(X; − x)2]; (c) Σκ;(X;…

A:

Q: In a study of pain relievers, 50 people were given product A, and 33 experienced relief. In the same…

A: According to the given information in this question We need to fill in the blanks

Q: Prove that the expression 2y2 - 128 is equal to 2(x² + 2) (x² – 2) (x8 + 4x+ + 16) Swer:

A:

Q: 9. In OP, QR = 7x – 20 and TS = 3x. What is x? -

A: Joining QP and TP, we get the radius of the circle.

Q: 14. If u(x, y) = x² cosh(xy² + 1), evaluate in the simplest term the expression ди 2х ди -- ax

A: We are using partial differentiation techniques. we have to recall the formula for differentiation…

Q: #02:-Discuss all the cases of reducible to hamggenou D.E form.

A:

Q: 8. Working over R, suppose that M = PDP ' where P 1 Then, for any positive integer k, we have that…

A: To find Mk =?

Q: 4. Show that: do Tb/(a? – b²) - a+bcos0 а b2 Where a>b>0 such that * -1+ 1. < 1 - a²

A: To Show: ∫0πdθa+bcosθ=πba2-b2 Concept: i. 1+tan2x=sec2xii. cos x=1-tan2x21+tan2x2iii.…

Q: b If K = 4.1 x 10-6 then pK, Submit

A: This is a basic log problem