25. Becky will prove the identity given below. - ab = Which of the following equations would MOST likely be contained in her proof? O (a?+ 2ab +b?) – 4ab = (a² – 2ab +b²) O (a?+b? - ab = 4. 4(a? + 2ab +b?) – 4ab = 4(a² – 2ab +b²) O (a?+ 2ab +b²' a? - 2ab + b?Y ab =

Q: in is where n is an integer. equal to the above e(1+2n)i wheren is an integer. equal to the above…

A:

Q: * For each integer n, let Cn = {n²,n³, nª}. How many elements are in each of C-2, C-1, Co, and C3?…

A: The set always contains the distinct elements. Given Cn = n2 , n3 , n4 Consider C-2 = (-2)2 , (-2)3…

Q: 3n³ + 20n² + 5 is O(n³)

A: Given: The given expression is 3n3+20n2+5 is 0(n3),

Q: Lisa sold 6 more than 3 times as many cookies as Mike and then sold 3 more at the end of the sale.…

A: Lisa Sold 6 more than three times as many cookies as Mike and then sold 3 more at the end of the…

Q: Show that: In(-1+/3i) = In2 + 2 ( n + Ti, where n = 0, ±1, ±2, ±3.... 3

A: Show that    ln-1+3i=ln 2+2n+13πi.

Q: -) In = O.015 (0.5-4 In) -> -> Io = :00375 + 0.9I," - o.6 ID 0.9 J,-1.6 Io to 00375 = 0 Tp> 2.2 4 J…

A: Answer is actually wrong, calculation is wrong.here is the right solution.

Q: 7. Which of the following has the correct solution given for x? Check all the apply. O 3x -3 = 24; x…

A: GIVEN(1)3x-3=243(9)-3=2424=24x=9 is correct solution

Q: Q6. Identify the incorrect statement in the following: A. If e* = 2 then x = In 2. B. If In x = 2…

A: To find the incorrect statement we simply use basic properties of natural logarithm function.…

Q: 27. Show that if a > b, and a, b + 0, then b-l > a-1, provided that a and b have the same sign. What…

A: a > b  ⇒ a - b > 0 Divide both sides by ab      (a - b)/ab > 0 ⇒  1/b - 1/a > 0  ⇒…

Q: 2. Let, a1 = 3 and for n 2 2, an = 2am-+1, express an in terms of n. 3. Let, a1 =3, a2 = 4 and for n…

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

Q: hich of the following is

A: Given,                                  f(x, y)=(x-1)yA2x2-4x+1+y2+1,       (x, y)≠(1, 0)B…

Q: Solve the following re is correct with a proo a = 3 with a = a -1 +2k for all

A:

Q: (d) The apartment is hot if and only if the temperature is not 75º and the air conditioning is not…

A: Here given Statement in English convert them to symbolic form using standard notation

Q: a) The proof is by contradiction. So we begin by supposing that z + _ and w # _ _ (which is the…

A:

Q: In C the element 3+ 4i is an associate of -4+ 3i.

A: Associate Elements in a Ring: Let R be a ring and Then the elements a and b are associates denoted…

Q: 4. Show that for all formulas p, p,0 E S(P), (a) (9 = 4) = ¬(4 ^ ¬ab).

A:

Q: Which of the following is equivalent to csc^2β(secβ−1)(secβ+1) for all values of β for which…

A:

Q: for n>2, 5 . Deermine for whpch n, n2-2 let |anlく,

A: Given  an = 5nn2-2

Q: Simplify. 4n + 3(n - 5) + 2 n + 6 13-ח 7n- 13 7n+ 6 Done Ysheed in any manner wmour epress enen…

A:

Q: (b) If = 1, show that i=1

A: We will use Arithmetic Mean (AM)and Geometric mean(GM) inequality  to prove the given results…

Q: D show that || ū+ 1?= 11u| + l" if and ū ů =0 only if %3D

A:

Q: When proving Ac B, you assume x e A and x e B Select one: - True O False

A:

Q: 9. Prove the following algebraic identity: (a - b)(a? + ab +b?)=a' -b'

A:

Q: Remind yourself what () means. For this class, we will use the convention that () = 0 if n < k or if…

A:

Q: 10 Given a1 = 4 and a, = an-1+3, write the explicit formula. %3D %3D

A:

Q: Refer to the following formula: (3X)(Mx • (-Nc v -Ox)] = (Py Pb) Reference: Ref 4-4 Which of the…

A: Given formula is ∃xMx*~Nc∨~Ox≡Py*Pb In this formula, x is introduced by quantifier ∃. But, c, b and…

Q: Express the following in the form eaz (e4-2)² + ²z = Check (ebe + c), with a, b, c EN

A:

Q: If x e R and 0 < x < 4, then 4. ac(4-ac) 2 1.

A: 12. Given that x∈ℝ and 0&lt;x&lt;4. We have to prove that 4x4-x≥1. That is, we have to prove that…

Q: Given that an 2n -1 In %3D Which one of the following statements is CORRECT? OA None of these. O B.…

A:

Q: In SOR method the value of 0 < w <1 Select one: True O False

A: We will use the formulation of SOR              (Successive over Relaxation) Method to     show what…

Q: 5) Let A= 18 Using Caley-Hamilton theorem find the expression A* -19A³ + 18A? + A + 21.

A: Please refer the attached image for complete solution.

Q: 10) Which of the following shows the solution for n2 + 2n 2 24? A) 4十 -6-5-4-3-2-10 123456

A: The given inequality is n2+2n≥24

Q: If E (ar + br) 2n and n+1 k=1 Σ (ακ-bk) -- 1, then Σa- n+2 k=1 k-1 O 2 3 2 O 1 5. 2 Ο None

A:

Q: If (ar + br) : 8n and n+1 %3D k-1 (ak - br) +, then E ak = n+2 k-1 k-1 None 2.

A:

Q: II. Prove the following using Direct Proof. 6. If x is an odd number and y is even number, then x +…

A:

Q: 1.N= 2500, e = 0.05 2.N= 486, e = 0.01 3. N=930, e = 0.1 %3D %3D

A: Population is a set of elements or subjects for which the study is conducted and a researchers want…

Q: Let the numbers c1, C2, ... be defined inductively as follows: c1 = 0 and for every n >1 the number…

A:

Q: HW KLX) = 2x+5 7 -1. Find ke-²¹ (x) 2. Prove by kok orklok

A: Let's find inverse function.

Q: 21 41 Verify the following directly if A = 1. B = |; .c = [, а. A(ВC) %3D (АB)C b. А(B+C) %3 AB + AC…

A:

Q: Find the exact values of the following 23nzn (1) 52n n=1

A:

Q: 00 6 of 12 If = 72, which equation is true? %3D On=72÷9 %3D O n= 72 x 9 %3D On=9÷72 O n = = 72 +9

A: Given that n/9 =72

Q: Without calculating it, which of the following is the number of ways that the digits { 1, 2, 3, 4,…

A: The correct option is, Option (A) :  D7 which is the number of de-arrangement of 7 objects

Q: 3 and for n > 2, an = 2an-1+5, express an in terms of n. 1. Let, a1

A: The solution is given as

Q: ) Evaluate, using Cauchy formula C:2- (a) zz-l dz dz (6) ( e

A:

Q: 1 of the above number n, or (65) = Note that the other number is Therefore, we conclude that the…

A: Given that, number is 15  of the given number n

Q: 36. For the situation above, give a practical interpretation of Bo= -92040 37. For the situation…

A:

Q: Evaluate: (- +2 e + 4" – 7) dr =, +4* – 7) dr %3D | In(x) + 2e2 4* - 7x +C In(4) - - O In(x)? +e2…

A: We have to find the integral.

Q: D. Is there guaranteed to exist a value of x = c on -2 < c < 2, such that h'(c) = 0? Give a reason…

A: Rolle's theorem states that if a function f is continuous on the closed interval [a, b] and…

Q: Find the explicit formula. 40, 50, 60, 70, .. А) а %3 30 + 11п В) а 3 31 + 10п С) а %3D53- 12n D) a…

A:

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.