Let Xbe a nonempty subset of R. Show that if c E R is a cluster point of X, then for any n EN, there exists Xn E X where x, + c and | Xa – c| <=

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A: To find the correct option out of given options.

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A: Given third order homogenous linear equation is  y(3)+9y'=0such that y(0)=5, y'(0)=-2 ,y''(0)=3

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Q: Find the following limits if they exist. Must show all work (analytically?):

A: 1. Given,                f(x)=-3x2+8if x&lt;-22xif x&gt;-2       

Q: x2 е 2t Y2nt h(x) =

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A: Introduction: The p-series is a significant infinite series. It is widely used when we compare a giv...

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A: To use midpoint rule with eight subdivision to estimate the below integral. ∫24x2dx

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A: Given that the Australia has a coastline of 25760 km and Canada has a coastline of 202080 km. We hav...

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Q: ADVANCED ENGINEERING MATHEMATICS: Determine if the function satisfy the Cauchy-Riemann equations. Sh...

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Q: Vraag 10/ Question 10 1 0 -1 2 1 1 A = W = span{a1, a2, a3}. and aj a2 a3 Let 3 2 10.1 Determine if ...

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Q: 3. Determine whether each of these functions is a bijection from R to R а. f(x) — b. f(x) = -3x² + 7...

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Q: 4. n! (read "n factorial") is the product of the first n positive integers, that is 2! = 2 1, 3! = 3...

A: We can solve this by using formula of factorial

Q: Let S = {1,2,3, -} and B = {2,3, . , 20}. Then: A) inf B = {20, 21, . }. B) inf B = {1,2}. C) inf B ...

A: Given: B=2, 3, …, 20 To find: inf B

Q: Which of the following is a tautology? а. (pV@) —9 b. (р^q) —9 с. (рV ~q) —9 d. (р^~q) —9 a O b O c ...

A: a) not tautology b) is tautology. c) not a tautology. d) not a tautology.

Q: Instruction: Identify each statement if it is True True and F if it is False. Write your answer on t...

A: Note: Since you have posted a question with multiple sub-parts, we will solve the first three sub-pa...

Q: f(x) = π-x,-π<X<π

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Q: So, N 4 2 |1, N = 2 Suppose that Py(0) = and %3D dPy(t) 2(N – 1)PN-1(t) – 2N Px(t). dt (a) Find the ...

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Q: Assume that the peanut butter demand function is p = 2,000 - 0.5 %3! calculate the elasticity of dem...

A: Introduction: The formula of elasticity of the demand function is given by, ep=dqdp.pq where p=f(q) ...

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Q: Among the following mapping diagrams, which do you think represent functions?

A: Given: The mapping diagrams To find: Which of the mapping diagram represent a function.

Q: 3. Prove that if n is a triangular number, then so are 9n +1, 25n + 3, and 49n + 6. Hint: Recall tha...

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Q: National Storage employs 88 workers with a gross monthly payroll of $135,000. Fringe benefits are 8....

A: National Storage employs 88 workers gross monthly payroll of $135,000 Fringe benefits are 8.4% of pa...

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Q: According to Newton's cooling law, the rate of cooling of a hot body is pro- portional to the differ...

A: according to newton's law dTdt=-kT-Tm           ...i here Tm is the room temperature as given Tm=30°...

Q: (b) A trigonometric curve C satisfies the differential equation. dy cos x + y sin x = cos³x. dx Find...

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Q: Ali set up a savings plan with TD Canada Trust whereby he deposits $250 at the end of each quarter f...

A: As per Bartleby guidelines I can't answer more than one question per post. hope you understand. Than...

Q: x* 5,] TO Show - x-V Ju, (x) (2) %3D How did he get the value inside the circle? Can you explain ste...

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Q: | 0, N # 2 and Suppose that PN(0) = |1, N = 2 dPy(t) 2(N – 1)Px-1(t) – 2N Px(t). dt (a) Find the exp...

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Q: 1.3 write the fallowing integral (a) e | Determine whether the folawir Converges or diverges. x- 3x°...

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Q: Prove that - V ニ soL 2m+V-V d. (1) m! Pempv +1) m!Pem+v +1) Atur m20 2. m26 2

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Q: (a) x +1 ¯ (ь) 2 a +1 10 a -1 -14-5r (c) - 1

A: "Since you have posted a question with multiple subparts, we will solve the first three subparts for...

Q: Which of the following sets are subspace of M2x2? (a) All 2 x 2 matrices of the form ( 2) where a+b+...

A: We find which of the given sets are subspace of M2×2.

Q: pableni Solve the tollowing dittrential equation. - 2 tanin Seci)-ysinke

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Q: - y = log x the solution

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Q: 5. Solve -2(x + 1)(x – 4)(x + 7)(2x – 5) < 0 using a factor table. Express your answer using interva...

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Q: Perform the tasks below for the problem: f(x) = 2f +9x2, with the initial point (r), x2) = (5, 1) (a...

A: The function given is as follows: fx=x12+9x22 The initial point given is x1, x2=5, 1. (a) We are ask...

Q: Find the Fourier transform of f(t) = 5e-3|t|_ %3D

A: To determine the Fourier transform of the below function. ft=5e−3t

Q: Determine L{5 – 3t + 4sin2t – 6e"} by using the Laplace table

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Q: 10:04 A Write the following improper integral as a limit. x-3x' In(x)-1 dx x (x-1) Determine whether...

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Q: THEOREM 23. Let K be an integral operator on L,([a, b], a) Kf = | K(x, y)f(y) da(y) %3D where | |K(x...

A: Given that K is an integral operator on L2a, b, α, Kf=∫abKx, yfydαy With the condition that,  ∫ab∫ab...

Q: Find the Maclaurin polynomials of orders n = 0, 1,2, 3, and 4 and then find the nth Maclaurin polyno...

A: Let f be the given function. fx=19cosπx The Maclaurin series for cosine function is: cos x=∑n=0∞-1nx...

Q: Q.5 Using Green's theorem to evaluate f[(2x² – y²)dx + (x² + y²)dy], where C is the boundary of the ...

A: Introduction: Green's theorem is a significant theorem in calculating the line integral. This theore...

Q: fomulate the LP Model; identify the decision variables used in the model; and determine the optimal ...

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Q: Eind th interest 32,000 campoun

A: The formula for simple interest is given by: SI = P×R×T100, where P denotes the principal amount, R ...

Q: Suppose that f : Rn →R is a C1-function and c : [a,b] →Rn is a closed C1-curve. Prove the following:...

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