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Q: [1] The forward-difference formula can be expressed as h h2 f'(xo) = [f (xo+ h) – f(xo)] f"(xo) f"…

A: Consider the provided question, The forward difference formula is given as,

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: 3. Use the Racetrack Principle to show that: In x 1

A: The Racetrack Principle :-

Q: Find the value(s) of such that х -1 2х 1 -1 0=12 2 -1 -x O x=4 or x= -3 O x= -4 or x = -3 O x= -4 or…

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Q: Evaluate the following integral; 16х3 4x2 — 4х + 1 -

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Q: Compute the following. |25х11+28х3 - 3х*-13х +4 dx

A: We need to evaluate the following integral  ∫25x11+28x3-3x4-13x+4dx Formula used : ∫xndx =…

Q: Prove that the following relationship is true: nCr + nCr + 1 = n + 1Cr + 1

A:

Q: Part 1 of 5 (a) When a = 0.10 and n= 22, Xieft 11.591 = 32.671 Kright Part: 1/5 Part 2 of 5 (b) When…

A: a)GIvenα=0.10n=22

Q: 1 1 1 1 1 0 1 1 1 11 1 1 0 0 0 1 |0 1 1 C = 1 1 1 A = B = 0 0 Lo 0 D = 1 1 1 4- 0- Lo 0 1

A: We know the following. Row Echelon form: Any row consisting entirely of zeros occurs at the bottom…

Q: , Giran me qiven family of ines for b=0, I, I 3, I6

A: Graph of  y = -2x y = -2x -1 y = -2x +1 y = -2x -3 y = -2x +3 y = -2x -6 y = -2x +6

Q: 6. Evaluate the det A where A = 1 0 -1 2 4 24 3 1 0 1 0 041 44

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Q: 2. Show that cÃ=cA.

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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: Find the interval of En=0 2" (z – 3)" O (2.5, 3.5) O (2, 3) ( (3.5, 0) O(2.5, 0)

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Q: Evaluate the following. SP S: z = 13 - 4x + 6y, 0 Sx S 5, 0sys5

A: We have to evaluate the given double integral.

Q: 3. Is this sentence consistent? “There is someone who loves exactly those people who do not love…

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Q: IL Determine the Absolute V'alue of the following 6.-3 7-13-8) 9. 0-7 10. 9 11. 81-9 12. 43 13.-17

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Q: 32y- 154-25x= o 152 =120 2と72 3 23 3. 23 3.130437783 %3D 120 55 23 ニ 23 Y-5.217 391304

A: Solve simultaneous  linear equation

Q: Show that 100 1 arctan(100) – arctan(2) + 1 1 < arctan(100) – arctan(2) + 1+ 1002 1+ k2 k=2 1+ 22

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Q: (b) Use the value of det(A) to evaluate 1 2 3 3 -2 3 3 1 1 1 2 -2 -3 -1 4. 1 3 -2 4) 2. 2. 021

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Q: P(−0.24°C<x<0.37°C)=P(−0.24<z<0.37)=

A: Solution: The probability which is needed to calculate is…

Q: É(3k – 1) k= 1

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Q: Evaluate (x + 5)(x − 1)(x − 2) (x - 1)(³) — 2(x − 1)(²) O A (x − 1)(³) + 2(x − 1)(²) (x − 1)(²) —…

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Q: a, x 2 ex-1+ 2 ex-1+2 1 3 9.38906 1.5 3.64872 2.5 6.48169 1.9 4.45960 2.1 5.00417 1.99 4.69123 2.01…

A: Given limx→π22sinx

Q: In(3*+2*) Apply L'Hospital's theorem to evaluate Lt X00

A: Here we will solve the given limit by L'Hospital Theorem,

Q: Prove the following: 1) 1+3+5...+ (2n-1) = n²

A: *By Bartleby policy I have to solve only first one as these are all unrelated  problems.These are…

Q: If tanh '() = 1- 12/3, then z = %3D In + 종 In O In In

A: As per the question we have to solve the complex equation and find the exact value of the complex…

Q: of the give ess your ans

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Q: Apply Gauss forward interpolation formula to obtained y(39) if 15 30 45 60 75 90 Y : 0.23 0.32 0.33…

A: Thanks for your question. Since your question contains two parts, so we are solving the first part…

Q: H PROVE : กะ1 [-¹-², ¹+ ²] = [1,1] 1 t

A: As per our guidelines we are supposed to answer only one question at a time. Kindly repost other…

Q: Prove or disprove: If (xn) and (yn) are subsequences of each other, then xn = yn.

A: Definition: Suppose ann∈ℕ be a sequence. A subsequence of this sequence is a sequence of the form…

Q: Evaluate (x^2 - 1)^3 dx * O (1/7) x^7 + (3/5)x^5 - x^3 + x + C O (1/7) x^7 - (3/5)x^5 - x^3 + x + c…

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Q: If A+B+C=90  then  prove that tanAtanB+tanBtanC+tanCtanA=1

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Q: Ex: estimate the In2 using linear interpolation.using 1) In 1 = 0 ,In 6 = 1.79176 %3D 2) In 1 = 0 In…

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

Q: pls explain to me step by step. thanks

A: To exponentiate the matrix tA, A as given, using the special properties of A.

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: [1 0 1 Let A =|1 0 1 |0 1 0 Identify Al3].

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Q: 5|8" – 3", Vn EN

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Q: Check Al That Apply nent an imege of exactly one element

A: This is a problem of function.

Q: Prove: le* a. ſ csch x = In - |+c lex+1

A: As per Bartleby guidelines rule I am answering only first question as Both question is not subpart…

Q: . Let, a, = 1, az = 2, b; = 0, b2 = 1, for n2 3, a, = 2an-1 + bn-1 for n22 b, = br-1+ an-1 express…

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Q: Evaluate the following integral 2 πα 3 πα3 na3 3 πα 1 πα3

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Q: Is there any n n for which U2n = Dn?

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Q: prove the following:

A: Given,           f(x-y, x+y)=2(x2+y2) To prove that,          ∂f(x, y)∂x+∂f(x, y)∂y=2(x+y)

Q: Find y'(0.2), y''(0.25) and y'''(0.75)  and  from the table below                      0.2 0.4…

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