onsider the equation f(x) = 2x³+x²- 2x- 1 a) Express the equation in factored form. (T4) %3D

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A: We use the recurrence relation quadratic equation technique to solve this problem.

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A: Please find step by step solution of given boundary value problem below:

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A: We use strong induction. The detailed answer is presented in typeset form below.

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A: Here we need to find the values of u(x,t).

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A: Since θ is constructible, by definition, (cosθ, sinθ) is a constructible point.

Q: a a2 a a 12. Using cofactor method, prove that det N = +99 9 = ab?c'd* - %3D %3D 0 0 c c4 0 d 0 0

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A: Half range cosine series expansion

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Q: 25. A number is drawn at random from the set {1, 2, 3, .., 40}. Find the probability that the number…

A: Given: the set 1, 2, 3, …, 40.

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Q: 1 -3 3 4@ O } watrir, A= Find A75 3 -5 3 6 b 9- P the diffenen Linean

A: Given data A=1-333-536-64find  A75=?

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Q: 4. Find the expansion of (x + y)6 using Binomial Theorem.

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Q: 13. Let/(x) = x' + 3x² - 9x - 13. (a) Find the intervals where *) id increasing and decreasing; (b)…

A: Since you have uploaded multiple parts of the question according to our guidelines we done first…

Q: Question 4 The well-known Fibonacci Sequence Fo, F1, F2, ... is generated by the relation Fk = F1 +…

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Q: 8. Determine the truth value of the each of these statements if the domain consists of all integers:…

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Q: (2у — Зх)dx + хdу %3D0

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Q: Example 12.6. A company manufactures two types of cloth, using three different colours of wool. One…

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Q: Prove that an angle of θ radians is constructible if and only if the real number cosθ(sinθ)…

A: Since θ is constructible, by definition, (cosθ, sinθ) is a constructible point.

Q: I. Consider the permutation (1 2 3)(4 5)(1 25 4)-2. 1. Express as a product of disjoint cycles. 2.…

A: consider  the permutation (123)(45)(1254)-2

Q: Show algebraically that f(x)-2 x| -9 is an even function. Solve the equation algebraically for x.…

A: A function is an even function if f(-x)=fx. It is known that if logab=c, then b=ac.

Q: dt dy la) what is associated dineorijed System ar Hhe equilibrium lo,0) ? 10,.0) ! 11 ity of the…

A: This is a problem with the system of differential equations and their stability.

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Q: Question 7. both Z and Q. Find a subgroup of that contains Z but is different from

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Q: If f(x)=-(x² -4), find (a) The x-intercept and the y-intercept (b) The interval where the function…

A: (a) Given, fx=-x2-43.                      ⋯⋯1 Substitute fx=0 in the equation (1) and simplify to…

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A: If sin x=y, then it can be written that x=sin-1y. The value of g is 9.8 ms2.

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Q: 14. A box with 12 articles contains one that is defective. In how many ways can Martin select 5…

A: Given: A box has 12 articles such that one of the article is defective.

Q: Calculate x-z lmage 24 ) 8х -2 2x + 1 z + 22 3z O 10 O 10

A: Solution