8a, 2+ 225n for n> 2 with initial conditions ao 7, a1 83 %3D

Q: (x2 – 1)y" – 2xy' + 2y = 0 - tion ofS the o uation

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Q: solve xy' - y = xkyn, 1) y¹ – O a. (k+n O b. (k+n O c. (k+n O d. (k+n - - n 1) x¹ - n - 1) x¹ − n 1)…

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Q: (n² – 3n – 21) ÷ (n –7) -

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Q: Solve the initial value problem dt = 4t + 612, y (1) = 3. (Use symbolic notation and fractions where…

A: Given:  To solve the initial value problem dydt=4t+6t2, y1=3

Q: 2) By using the iterative formula x+1= and x, 1.5, then the value of x, is O 0.3652 O 1.3652 10 of…

A: Given That :  x2+4x=10 and  xn+1=10xn+1 is the iterative formula for the given equation in [1,2] and…

Q: 4 The value of 2 n=1 3n2 will be + 6n .... .

A: See solution below

Q: 4. Since a certain virus has been contained in Wakanda, researchers has proven that it will be…

A: The number of infected citizens, p thousand, after t weeks is given by…

Q: 3) FIND A PARTICULAR SOLUTION OF THE ODE y"+8y-20y = 2x +5 - e?X %3D

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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: 2.Rerolue 3r?+2 12 4+6n 12nt18 mto partial pachión

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Q: Jse three terms of the expansion for v1+x to calculate the value of y1.18

A: Introduction: The expansion of the term (1+x)n is given by, (1+x)n=1+nx+n(n-1)2!x2+...

Q: If Pn is the sum of a G.P. upto n terms (n > 3) such that (1 – r) dP, aPn-1+ bPn, where r is the…

A: Introduction :

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: 4. If LM = 41 – 2x and NP = 7x + 5, find LM. L N M P

A: Given,

Q: 5) Show that n(n+1)(4n-1) E"=1 r(2r – 1) 6 Hence find E015 r(2r – 1) |

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Q: Expand x?y + 3y – 2 in powers of x + 1 and y – 2. (up to third degree terms).

A: Given :- The given expansion x2y + 3y-2 in powers of x+1 and y-2.

Q: 1 (2r + 1)(2r + 3) 6 2(2N+ 3) 1 1 Use the method of differences to show that s=1 2N 1 1 Deduce…

A:

Q: 3. Find the correct form of x(s) and stop. State x(s) as a single fraction. x" +7x' + 6x = 2t x(0) =…

A: Explanation of the answer is as follows

Q: 3t Q3) Verify that -e-3t e 3t are solution for re-3t 3t 1 e-3t -2 21 2 X on (-0, ∞). 2 X': -2 1 2 1

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Q: BELL RINGER 1. V2k2 - 9 - x = 0 If k>0 and x=3 in the equation abové, what is k?

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Q: 2n [3] (b) E for n 21 2k k=0

A: Answer

Q: /2 5b) What is ll xl)=(2 ²) if x= G,s%2;X3=--) toce where -n/2 2. and Xn = L?

A:

Q: 10. The sales of Universal Systems in the 1st t years are given by:S(t) = tv0.2t2 + 4 where S(t) is…

A: Sales of universal systems in the 1st years is S(t)=t0.2t2+4 we have to find the average yearly…

Q: Assume w = 4 and r = 2 when t = 0. Does the number of worms increase, decrease, or stay the same at…

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Q: #4 (Greenwell, #52, p. 271) The number of people P(t) (in hundreds) infected t days after an…

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Q: (b) Use the iteration formula 4(3-х,) (3+x,) with x, = 1 to find, to 2 decimal places, the value of…

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Q: Find dP if p = In(q³ + 3). bp dp dq

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Q: (-1)"(п + 2) 2n+1(n +1) Compute the exact value of n=0

A: The geometric series formula is ∑n=0∞rn=11-r, where r<1. Simplify the numerator of the given…

Q: :find E10 (-1)(n-1) Zn=1 (n+1)2 %3D1

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Q: 4. You are given: 7800-70t- 1? P30 0SIS TO 7800 Find qso-Hs0-

A: The given formula for tp30 represents the probability of an individual aged 30 years to survive the…

Q: the next iterative value of the of x² - 4 = O using secant method, if the initial guess is 3 and 4

A:

Q: (b) Pr[X > 0.6n] < 0.85. Let X be the number of HEADS after n fair coin tosses. Show that

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Q: can i get step by step help please

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Q: 4 The value of 3n2 will be + 6n .... n=1

A: We use partial fraction method to find the required sum of the series.

Q: In what case of k such that there is only one solution? 2x + ky = 10 kx + 2y = -10

A:

Q: 5r² – 3)| -6,80 n=3 with Simpson's 3/8 rule. Find the approximate solution for

A: Simpson's 3/8 rule is: ∫abydx=3h8(y0+2∑ i=1n/3-1(y3i) +3(y1+y2+y4+y5+....+yn-2+yn-1)+yn)here y=f(x)…

Q: e2a – 6e" – 27 = 0 - -

A: e2x - 6ex -27 = 0 here lets assume ex = y y2 -6y -27 = 0 y2 -9y +3y -27 = 0 y(y-9) +3(y-9) = 0 y+3 =…

Q: =] Verify n(n + 1)(2n + 1) 6 j=1

A:

Q: Use Gauss's trick to determine H(n)=1+5+9+13+...(4n-7)+(4n-3)+(4n+1) I got n(4n+2)/2 is this…

A:

Q: The fourth term in the expansion (2r + y)' is

A: The equation for the combinations n taken r at a time is equal to Crn=n!n-r!r!.  The continued…

Q: (1) In an AP the T5 = 27 and the T13 = 67,  find S20 term

A: Since this is a multiple question, according to the Bartleby answering rule, only first question is…

Q: 2+4+... +n lim 7n2 + yn

A: limn→∞2+4+....+n7n2+n

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)

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Q: Given that n2 1 and xn =V 4n² + 3n – 2n Will {Xn}, be divergent or convergent? n=1 Will E-1 Xn be…

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

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Q: 16 3t 9. dt. Enter your answer as an exact fraction if necessary. Evaluate

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

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

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…

Q: 6n_ and If (ar + bx) = n+1 k-1 , then 1 (ak – br) = 712 n+2 k-1 k-1

A: If ∑k=1nak+bk=6nn+1 .......................(1)  and  ∑k=1nak-bk=nn+2-1n ......................(2) we…

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.