x(n) = (0.8)" (-n-1) 1-(00) O 2 O otherwise -1 1-(00) 1-(08) +1 0 4JA O 3 JA

Q: Determine 1- [[2t*e3"] 2- -1 (s²-4s+13}-

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Q: La función f(x) =* expresada como serie de potencias es 4-х xn+1 А. 22n+1 n=0 4xn+1 В. 22n+1 n=0 C.…

A: Given function is fx=2x4−x. We have to find the power series representation of the given function…

Q: Solve for r: In(x) + In(x + 2) = 3

A: Use the properties of lograthim and simplify.

Q: (n² – 3n – 21) ÷ (n –7) -

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Q: 15. As x increases uniformly at the rate of 0.002 feet per second, at what rate is the expression (1…

A: We have given that                     ( 1+x )3= f(x)      ,  then we have to find out value of dfdt…

Q: if f(x1,x2) = e-*-*2, 0 < x1 < o, 0 < x2 < o, F(x1, x2) = e-Xie-x2 + e-X2 True False

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Q: Max z = 5x, + 6x2 x1 + x2 S 5 ( Machine A) 4X1 +7X2 S 28 (Machine B) s. to X4,X2 INTEGER

A: Consider the given system of equations.

Q: What is the smallest positive integer value of x where the exponential fuction defined by the table…

A: Consider the table  X -3 -2 -1 Y 181 127 19 Let the general exponential function  y=abx We…

Q: 53-N5 (0.4 – J0.3)5 + eAxM (1+ /5)" (22– 70°) (4-j179) e/15' + 515 3-N5 (7cls-) - 4+/V5 + [(6j135 –…

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Q: An investigator arrives in a crime scene where a dead body of the victim was found. He arrives at…

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Q: et z = 6ex²y³ find O 12xy³ex²y³ O 18x²y²ex²y³ O 18xy³x²y³ O 12x²y²ex²²³ дz ax

A: Given, z=6ex2y3

Q: Oa, 1+ 16a, 2+ 225n for n> 2 with initial conditions ag = -23, a1 -19.

A: Given recurrance relation is  an=16an-2+225n     , n≥2 and initial conditions are a0=-23, a1=-19

Q: The American Court Reporter Institute finds that the average student taking Elementary Machine…

A: Given : the average student taking elementary Machine shorthand will progress at the rate given…

Q: evaluate nCx px qn-x  for n=5 x=2 p= 1/2

A: Given: n=5 , x=2 , p= 1/2 We need to find, nCx  px  qn- x We know that, nCx= n!/[(n-x)!(r)!] q= 1-p

Q: X = y + % y = 0.000396707 – 0.24576 x2 22 = 0.00029753 - 0.12288 x²

A:

Q: Since a certain virus has been contained in Wakanda, researchers has proven that it will be…

A: Given,             Since a certain virus has been contained in Wakanda, researchers have proven that…

Q: (b) Define fo = 0, f₁ = 1 and fn = fn-1 + fn-2 for n ≥2. Show that 3 fak for all k ≥ 0.

A: As per the guidelines we shall solve one question only as you have asked more than one different…

Q: Question #6

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Q: 5

A: Given Roll a fair, six-sided die.

Q: - (x-2)" 3. n=0 3n +1

A: We find radius of convergence by ratio test, then find interval of convergence.

Q: The Saint Vincent Hotel and Leisure determines that its total monthly profit P(x), in hundred…

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Q: الواجُب (x-1) (x+4)<o 2 )و - رصه - (

A:

Q: y = -0.0159x* + 0.2301x3 1.2034x? + 2.6595x + 0.0661

A: Volume of the solid revolution is given by V=∫ab πfx2dx. Now, using the formula…

Q: 6. Find f'(1) if Ax) = nx

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Q: by x= 370,000(1-e^-0.077

A: Given an advertising agency has found that when it promotes a new product in a certian market 0f…

Q: D If/2ty -P and 25=n(ytoc) n-T s in terms of n and P express only MS

A: Disclaimer: "Since you have asked multiple questions, we will solve the first question for you. If…

Q: -2x -dx - Evaluate (1-x)' 8 А. х* + 6х- In(1-х)' + 1-х 8 -(1-x)* +C С. х? +6х+ In(1-х)' +- -(1–x)*…

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Q: A pitcher of buttermilk initially at 25°C is to be cooled by settling in on a place where the…

A: Given: A pitcher of buttermilk initially =25 degree C is to cooled by settling in on a place where…

Q: Determine E მა მა + მო მა 2 - მ2 მ0 მგ if e8² = w sech 0.

A: The derivative of a function of a real variable measures the sensitivity to change of the function…

Q: Evaluate dz (z–2)5/3 O -4/3 O 4/3 O Divergent

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Q: 03 Solve the diferential eauation ecosx-0. COSY-o by Milne s method with h-ol

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Q: 6. Show that =+ E-(-1)"(n+ 1) E)". when Iz – 2| < 2.

A: Seriese expansion

Q: 5s +1 To determine L-1. |s² – s – 12

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Q: 4. y' xe-), when x=0,y =0 5. 2xy-1+y, when x = 2, y= 3

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Q: Express (2ry+ 2x- 1)-i (x2 - y-2y) as polynomial in the binomial argument z = x+ iy. O iz? + 2z + 1…

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Q: 2. Show that coo(N) co(N) § c(N) Ę e^(N).

A: To prove that c00N⊂c0N⊂cN⊂l∞N. By definition, c00=x∈lp|all but finitely many xj's are zeroc=x∈l∞|xj…

Q: Describe the long run behavior of f(n) = 3n – 4n³ – 5n° + 5 As n → - 0, f(n) → ? As n → o, f(n) → ?

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Q: A pitcher of buttermilk initially at 25°C is to be cooled by settling in on a place where the…

A:

Q: 2s + 5 cosh t L- s2 + 6s + 34 et 5s L-1 (s – 2)² 3t -

A: Laplace transform of the function

Q: left of z=0.45

A: Given that  z=0.45 We need to find area left of z=0.45 In normal distribution graph it as follows.…

Q: S (sec5x – tan5x)sec5xdx - Select one: O a. (tan5x - sec5x) + C O b. (tan5x – sec5x) + C O c.…

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Q: Q2/ Evaluate (B8-5}sec² /3(38-5)2–7 V3(30-5)2-7

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Q: TO -n invested on the day of their niece" uously? $

A:

Q: N is a 2 digit no with non 0 digits. When n is added to thrice its reverse,the result is 145  If…

A: givenN is a two digit number with non-zero digitlet, 'pq' be the digits in the number N.where 'p' is…

Q: x = y + Z y² = 0.000396707 - 0.24576 x2 z* = 0.00029753 – 0.12288 x²

A:

Q: An investigator arrives in a crime scene where a dead body of the victim was found. He arrives at…

A:

Q: Use generating functions to determine the number of integer solutions for x + y + 2z = 29, x2-2, y >…

A: Given that x+y+2z=29 As for each x,y,z are non negative. The variable for x is, The variable for y…

Q: Solve for nif n Py=60(nc)

A: We know that nP4 = n!/(n-r)! nCr = n!/(r!(n-r)!)

Q: what are the first six terms of f(n)= (2n)/(n+2) ?

A: