For numbers 1-5, let X equal the larger outcome when a pair of fair four-sided die The pmf of X is 4x – 1 fx(x) = where x = 1, 2, 3

Q: 49. f(x) = alst %3D n=0 Selet ai 50. f(x) = 2 (-1)+1(x – 5)n n5" n=1 * (- 1)n+1(x – 1)"+1

A: f'(x)=∑n=1∞ (-1)n+1n(x-5)n-1n5n      =∑n=1∞ (-1)n+1(x-5)n-15n Apply the ratio test to check the…

Q: f(x) * a = 49 (2n – 1)! 2". 72n + 1 + (x – 49)" n = 1 1 ㅇ윽+>m.72n+ 1.n! 1 (x - 49)" n = 0 1 1:3.5.…

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Q: Minimize c = 2r + s > 30 Subject To: 20 3s 2 30 And Where: {r > 0, s > 0} + + + ||

A: Given that, The objective function, Minimize c = 2r + s. Subject to the constraints, We solve the…

Q: 1. Calculate the value of x, y and z. (Use Jacobi Iteration) • 5x- 2y + 3z = -1 -3x + 9y + z = 2 2x…

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Q: For this problem, involving a weighted die. assume that all the odd numbers are equally likely, all…

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Q: f(x) = ao + a,x + azx² + azx³ € R[x] polinomu için –2 e R, f(x) polinomunun bir kökü ise x+2 e R[x]…

A: As ℝ is a ring of real numbers. So ℝ[x] is the polynomial ring that contains all polynomials in x…

Q: a21 is the susceptible residents becoming infected in day 1 = 0.4 a22 is the residents remaining…

A: Given, In a dormitory there was a common cold epidemic. Each day 40% of the dorm residents became…

Q: 1 7) Find the antiderivative: S 3x2-6x+12

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Q: S (x+5g+wz) dzoly de ax X-つ

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Q: 6. y = xe* 7. y= 3x.e* 8. y = x² In(x) 9. y =x*(5x – 1) 10. y = (x² + 2x)5(3x-3 +x²)-7 11. y = (1 –…

A: Use product rule of differentiation.

Q: 5. (5 – x)² * 6 Show that if y=3-x then %3D 6. . (x-s) _ xp 1. dx. 3 Hence, find the value of , 2(5…

A: In differentiation use quotient rule In integration use substitution

Q: -n+1 Xn 4 Xn = A Lyn -1 6 . Pn+1 –1 by using the method of elimination. II

A: Given:- xn+1yn+1=Axnyn=24-16xnyn

Q: The function h(x) given by h(x) = –6 – 8.2944x - 4/5x + 3.84x³ has a critical number c = = -1.2.

A: We have given function hx=-6-8.2944x-45x5+3.84x3 and critical number c=-1.2

Q: 1. S(Vz5 + Vx ) de с 6 x2/7 +- 2. x5/6 +x³ +C 1 x3 + C 1 7/2 x3 + C х6/5 + - х3 + C + - O A О в O c…

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Q: b) Show that MsE(S²) = (п-1)* c) You are given another estimator of o? which is T² = = (X; – X)² i=1…

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Q: 1. max z = 2x1 + 3x2 X1 + 2x2 < 10 3x1 + 4x2 S 25 s.t. X1, X2 2 0; x1, X2 integer

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Q: 1.2 Solve for x 1.2.1 x2 +5x- 6= 0 1.2.2 4x2 + 3x - 5 = 0 (Correct to TWO decimal places) 1.2.3 (3x-…

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Q: A radioactive sample decays according to the law - -hy where k>0 Suppose c represents the size of…

A: From the given differential equation:   dydt=-ky   So, dy=-kydt...Integrating on both…

Q: Show that (0, 0) is a critical point of ƒ(x, y) = x2 + kxy + y2 no matter what value the constant k…

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Q: 3. The value of c is given by Vn А. /n+1

A: This is a limit problem

Q: 1/2 S x²√1-x²dx. 0

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Q: 1 0 Problem 4. Let p(x) = 5x? – 3x +2 and suppose that A = 0. for some y E R. Evaluate p(A).

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Q: Use Theorem I to compute the areas of the three shaded regions in Fig. 2.

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Q: 1 B (m,n) = m-1 (1-x)"-ldx %3D

A: Concept: By definition of Beta function

Q: f(x) = xsinx (-1)"x2n (2n+2)! .2n+2 OA. (-1)"r2n+2 (2n + 1)! O B. n=1 (-1)"x2n+1 (2n+ 1)! C. 1.…

A: Maclaurain series

Q: Show that r n2n-1 r=0

A: Want to  prove:    ∑r=0n rnr=n2n-1

Q: 1. Expand x³y²(x + y)12. E15.(15) xn+3y15-n ,15-п а. n 12 b. Eo () xn+3y14–n ELo (5) xn+3y14-n С.…

A: From the given information. The given expression is .

Q: 2.16 Find the characteristics of each of the following PDES: a?u a?u (a) +3 + 2- - 0 ay? dx? дх ду

A: ** I believe we are being asked to classify the above given PDEs into elliptic hyperbolic and…

Q: 3 Find Ay and f'(x)Ax for y = f(x) = x°, x = 3, and Ax = 0.03.

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Q: If k(x) = {x + 4 1 - x if x < 0 if 0 sx < 1, find the following. if x 2 1 (a) k(-5) (b) k(0) (c)…

A: We are given a piecewise function k(x) and we need to find the value of the function for different x…

Q: 2) y-Sy=-5xy* Type:? find general solution. 3

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Q: 1.1 Solve for x in cach of the following: 1.1.1 * +x-12=0 1.1.2 V2x+1 =x-1 1.1.3 2 = 27 1.1.4 x…

A: As per the guidelines we are allowed to solve one question. So please upload the other questions…

Q: Find the radius of convergence and interval of convergence of  Σ 1 to infinity…

A: Given

Q: (3) Let X = n(µ,4) and Var(2x) = E(4–7x) find µ. %3D

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Q: Suppose X~N(148,8), and Z~N(0,1). Then x = 143, is equivalent to z = ______. (Round your answer to 2…

A: Given information  X ~N(148,8) Population Mean (µ) = 148 Standard Deviation(σ) = 8 X= 143

Q: 3 n' (iv) En=1 2n³+5

A: (iv). Series  ∑n=1∞n32n3+5 diverges by divergence test for series.

Q: 1. Given that X1 = 1 X4 =-2 Xs = 4 X6 =-1 X7 = 5 X2 = 3 X3 =0 Xg = 2 X9 = 10 %3D Γind (a) E X;, (b)…

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

Q: L %3D e2t e-3s-6 (s+2)? O e6-3s ( 1 3 + S+2 (s+2)2 O e-3s (s+2)2 1 3 s+2 O e2-3* ( +) 1 (s+2)2 s+2 O…

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Q: 1.1. Show that Y(n) max(Y1, Y2, ..., Yn) is sufficient for 0.

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Q: Solve the following S-L problem y" (x) + Xy(x) = 0, y(-L) = 0, y(L) = 0. Where L is some fixed…

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Q: 8. Evaluate D = 3 2 4 4 0 7 9 -2 -1 -8 -3 3 5 6 9 5 9. Check your answer in item 8 using any method.…

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Q: Find the radius of convergence and interval of convergence of  Σ 1 to infinity…

A: Find the radius of convergence and interval of convergence of given infinite series.

Q: In x +1 If y = then will be 2x³ – 3x' (2x³ – 3x) G+1) – (In x + 1)(6x² – 3) (2x — 3х)? А. (2x3 — 3х)…

A: SOLUTION-

Q: 3) Find the general solution by using reduction of order method to ty" – (t + 1)y' + y = 0 given…

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Q: Find the value(s) of the constant k so that f(x)=kx2-5x+1 and g(x)=x2- kx -6 have the same critical…

A: A point x=a is said to be critical number of a function y=f(x) iff f'(a)=0

Q: , у"+ бу'+ 9у 3D 0; x = 0, y = 0 and x = 0, y' = 3 = Ans. y=3 x e-3*

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Q: -15 ス=スーカー3;w>え崎-k md 。 d o えしデx2) ) 1パx悩)1,) (穴応)し花っ2) - %3D A. 一

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Q: Suppose X~N(159,19), and Z~N(0,1). Then x = 126, is equivalent to z = ______. (Round your answer to…

A: We have to find z score for given data...

Q: 1 dx = x² – 6x +8 Select one: 1 In|(x- 2)(x-4)|+C а. 2 1 b-In|(x-4)(x+2)|+C 2 1 c. – In x- 2 +C x- 4…

A: Evaluate ∫1x2-6x+8dx