(-1)" 81+n Σ (x – 7)" n + 4 n=0 8. 5.

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: 10 X =1.2 is to be sol he initial approxima

A:

Q: The number of computers N (t) (in millions) infected by a computer virus can be approximated by 2.2…

A: Given data is: Nt=2.21+17 e-0.82t

Q: (n² – 3n – 21) ÷ (n –7) -

A:

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: Find L-1. by convolutions. l(s-1)².

A:

Q: bility 0.2. Supposing that there are only sunny or rainy days, in the long run on what fraction of…

A: here given ,  On a Southern Pacific island, a sunny day is followed by another sunny day with…

Q: Q3:B. Find the convolution between the signals h[n] and x[n] shown in Figure below using analytical…

A:

Q: (-2)"+1 n+ 5" (2n)! 2n - n! - n (a) (b) (-1)". n=1 n=1 (c) E(-1)": (n!)'3" (2n + 1)! (d) 5 (-1)"…

A:

Q: Using R.K. method of fourth order, find y(0.8)correct to 4 decimal places if y'-y-x v(0.6)=1.7379

A: Given y'=y-x2  y(0.6)=1.7379. Using R.K method of fourth order, we need to find y(0.8)  The solution…

Q: 4. y= 5e, y-s+ax-3x between x-0 and x=1 about y= -3

A:

Q: п-1 k n-2 n-1 n-2 () x6n-10 = p %3D k - 4 X6n-9 = 4 n-1 n-1 n-1 k n-1 X6n-8 = h X'6n-7 = P k n-1 n-1…

A:

Q: n-1 n-1 k n-2 n-2 - = P k X6n-10 X6n-9 = 4 - n-1 п-1 n-1 h k k n-1 X'6n-8 = r X'6n-7 = P h - . k - 4…

A:

Q: 2. Find the odd and even half range expansion- f(t) 2 2

A: The given problem is to find the Fourier odd half range expansion and Fourier even half range…

Q: How does h(n) = n2 / 2n behave for large whole-number values of n? Does h(n) tend to infinity?

A: Consider the function:      hn=n22n Determine end behavior for the large whole number value of n.

Q: 4n +5 Describe the long run behavior of f(n) = 3nº – 5n° As n → – 00, f(n) → As n → 00, f(n) → Add…

A:

Q: V2+cos (n2+1) Use the basic comparison test to determine whether E1 n=D1 converges or n+en diverges.

A: To check the Convergency of the given series. We apply here Simple comparison Test and Ratio Test of…

Q: (Зп+5 Find infimum of A |n E N} n+9

A:

Q: How do I calculate this? If Z~N(0,1), calculate Pr(1.55 < Z < 2.65)

A: Given that, Z~N(0,1)

Q: Find the curvative for y = 2t" at t = 1. (Use symbolic notation and fractions where needed.) K(1) =

A: The curvature of any function y=f(x) is given by the following formula: κ=|f''(x)|1+(f'(x))^23/2…

Q: For the BVP to find the steady-state temperature in a sphere, we use Legendre polynomials in the…

A: Use the properties of Legendre polynomial to write the functions in terms of it. Use the expanded…

Q: 2n²+3n 2 3) Prove (with an e - N proof): lim n-0o 3n2+8n+2 3

A:

Q: Ym - 21 , prove that + (n? m² ) yn =o 2 + (2n+1)x Ynts

A: Given y1/m+y-1/m=2x To prove that  x2-1yn+2+2n+1xyn+1+n2-m2yn=0 Solution :  y1/m+y-1/m=2x…

Q: E-o(-1)"(n+ 1) x“ = (1+x)² 1 2.b) for |x| < 1 %3D n=0

A:

Q: Outcome/s: Max Z = -X1 + X2 + 2X3 ST: X1 +2X2 - X3 s 20 -2X, + 4X2 + 2X, s 60 2X1 +3X2+ X3 s 50 X1.…

A:

Q: How do I calculate this using Excel?  If Z~N(0,1), then what is Pr(-0.09 < Z < 2.54)?

A: Solution: From the given information, Z follows N(0,1).

Q: Assume the model: Y = 5 - 2X + e , where e ~ N(0,81) What is the Pr(Y>10) when X =2? And What is…

A:

Q: Q9 Use initial value theorem and final value theorem to find f(0) andf(∞), if 6 + 7s2 + 5s F(s) =…

A:

Q: (x + 2)" Find the interval of convergence for 22(-3)n n²(-3)" n=1

A:

Q: 1. Find the interval and radius of convergence 00 (4x – 2)" (-1)" (4n + 1) n=0

A:

Q: (2+k)dr Evaluate 1– sec (x+a) 1- sec

A: ∫2+k1-secx+adxTake the constant out=2+k·∫11-secx+adx Now,    ∫11-secx+adxLet…

Q: at k ( k) = n(k-₁) fo 1) for in

A: To prove, knk=nn-1k-1

Q: n=1 B. E(-1)"- In n n=2 1 Inn c.(-1)"+1. n- Inn (-1)*+1. n + n=1 E.(-1)" sin(n) n=1 E(-1)"- n=2…

A: This is a problem of series calculation. based on the several available tests we can determine which…

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

A: Given

Q: 5n2 For E>0, there is a corresponding N such that -4/0 N. 4 +3 Then the value of L will be

A: Given function is , f(n)=5n24n+3

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

A:

Q: -> (6) 금 AxB) at t-1 at t=1 (1) A X 4P

A:

Q: (i) Determine the number g, of ways of tossing a coin n times so that the combination HT never…

A:

Q: 11. [D' +4]y=sinx, using reduction of order and letting y, = vcos2x. (Note: This is the same problem…

A:

Q: (k) E(-1)"-1. n+1 n=1 Vn +1- Vn – I (1) n=1

A: The given problem is to determine whether the series is converges or diverges using the appropriate…

Q: 4. Jordan and Jeffrey are driving north. Jordan is driving at 65 kph and Jeffrey is driving at 85…

A:

Q: L₂V₂ 4+1dx. You need to carefully write out 7. Use the trapezoid rule with n = 60 to approximate the…

A:

Q: 3. A ceramic insulator is baked at 400o C and cooled in a room in which the temperature is 25º C.…

A: Follow the procedure given below.

Q: B. For the Pearson coefficient r, find sum((L - X) * (L2 - Y)/(24 * S * T) | and store this as R

A: Given, Age(X) BMI(Y) 25 30.5 42 34.3 26 23.1 42 34.7 58 39.2 32 30 24 37.6 21…

Q: 5: A. Using convolution to find L¹ [(5+2)(s+4)

A:

Q: 5n+7 Find supremum of A :|n E N 4n+12

A: Given set isℝ A = 5n+74n+12 | n∈ℕ We know that a number u is the supremum of a nonempty subset S of…

Q: How does h(n) = n2 /2n behave for large whole-number values of n? Does h(n) tend to infinity?

A:

Q: (k-k) = O a. n O b. 6n +(n + 1)(2n +1) OC. 00 O d. (n + 1) O e. 4(n + 2) (n² - 1)

A:

Q: 1 A. Using convolution to find L¹ [(5+2)(s+4)].

A: Convolution Theorem : If L-1F(s)=f(t) and L-1G(s)=g(t) then L-1F(s).G(s)=∫0tf(u).g(t-u)du. (As per…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.