99 Xn+1 = (&n + ) 100 99 (i) Prove this relation. (ii)Perform five iterations to Brenda's formula starting with an initial guess of 1.03.

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Q: solve kx+12=kx for x i get confused on these

A: solve kx+12=3kx   for x  The above equation is correct as I did it in past and your equation does…

Q: Find the Residue of the function 1 by using Lourent's Series (1+2) (52) = (2)

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Q: b-a Use the theorem (≤ ) to find a bound for the number of iterations needed to achieve 272 an…

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Q: of 14 that Suppose newly-baked cupcakes are taken out of the oven which is set at 100 degrees. Room…

A: We will use Newton's law of cooling to solve this question.

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: Solve the following ODE 3 y' + • y = 0 with initial condition y(1) = 2 -

A: Write y'=dy/dx and then use variable separation.

Q: Q5/ Find Fourier series of the Function: f(x) = x if (-n <x< n)

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Q: 21 Solve in terms of Besselis Function, 2 11 the ODE: x² + xy + (x³²+ =)=0 let Z=Lnx

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Q: Find L-1. by convolutions. l(s-1)².

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Q: Solve the root of the equation f(x) = -26+ 82.3X- 88X? + 45.4X - 9X + 0.65X using fixed point…

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Q: Find the coefficient of X^35 in the generating function (x^4+x^5+x^6+x^7+x^8)^5 (Show work and…

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Q: tain cancer among men aged 70 and over occurs at a rate of 1 in 150. A blood test will be positive…

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Q: 3. The root of the function f(x) = x + x - 1 obtained after first iteration on application of newton…

A: In the given question we have to choose the correct option from the given options. In the question…

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

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Q: ex-(1+x) Evaluate by use Taylor Series lim,0 x2

A: limx→0ex-(1+x)x2

Q: Find the general solution of the given ODE.

A: Given differential equation is y'=1+x1+y2dydx=1+x1+y2dy1+y2=1+xdx

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: 8. y' + y = y²,y(0) = –1/3

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Q: 3+ cos (8x) Perform a test to determine if x converges. 1/8 2 dx x/8 (Type an exact answer, using n…

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Q: - Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ (=) < 0, f(x) has a root in [0]. To…

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Q: The equation x² + ax + b 0, has two real roots a and B. Show that the iteration (i) Xk+1 = - (axk +…

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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: 1 2. Show that E 00 converges to X-1

A: The above question is belongs to the series and sequence in which it is from the infinite geometric…

Q: Let y" + 2xy = 0 Find general solution for y(x) as a series y(x) = > Anx" n=0 Show the recursion…

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Q: 1. Express the given functional equation in terms of: a. Graphical b. Tabular form c. Sequence x(n)…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Calculate the residue of eZ.e-5=0

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Q: Q6: Find the Fourier coefficients and Fourier series of the function f(x) defined by f(x) = { -HAXNO…

A: The given function is                         f(x)=0,   -π&lt;x&lt;0x,       0&lt;x&lt;π   and has…

Q: dx -x 2-x Select one: O a. diverges to -x O b. diverges to x C. converges to -In(6) O d. converges…

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Q: 00 n + 1 is divergent. If we multiply any constant (labeled as h)to the n + 1 such that n + 2 n=1 n…

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Q: 3n? is strictly increasing and find an upper bound. n2 + 2 Rigorously show that a, =

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Q: Compute V(X) (in GB2) using the shortcut formula. (Enter your answer to four decimal places.)

A: Introduction: A random variable is a variable with an unknown value or a function that gives values…

Q: 2. Find all equilibrium or constant solutions (if any) to the ODE below dp dq dp dq 3

A: In this question, the constant solution of a differential equation is to be determined. Constant…

Q: Q3) Use the Newton-Raphson Method to estimate the root of f(x) = x -2sin(x²), employing an initial…

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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: Q2: find the solution of x = 2x – 2x – 5 using fixed point iteration to the sixth | iteration

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Q: 8+ cos (7x) Perform a test to determine if x converges. 3 n/7 9 dx x3 1/7 (Type an exact answer,…

A: Given integral :

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Q: Cos 720 n! + A) diverges B) converges

A: if sum of series is finite then series is convergent. so we need to find sum of the series. note…

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

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Q: 41. Can √5 be approximated through fixed-point iteration? Define a f(x) and a g(x) to do this if it…

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Q: A colony of bacteria is grown under ideal conditions in a laboratory so that the population…

A: Given:At the end of 3 hours there are 10,000 bacteria.At the end of 5 hours there are 40,000…

Q: 00 1 Express the series 1 as a rational function. (a – 8)2n –1 (x – 5)²n-1 n=1

A: To express the series as a rational function

Q: 1. Find the constant c that makes g continuous on (-oo, 0). Use the continuity checklist to verify…

A: Solve for c

Q: 4. Find the Fourier series for the Function f(x) = |x| ,When -n< X<n.

A: The given function is: f(x)=|x| ;          -π≤x≤π Therefore: f(x)=-x            if  -π≤x&lt;0   xif…

Q: Graph the functions

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Q: Specify c_1, co, C and p such that the formula c_1u(8 - h) + cou(s) + cu(s+h) hP u (s) 2 denotes the…

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Q: 1. Find one real root of g (x) = ln(x*) = 0.70 between 1 and 2. How many number of iterations were…

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Q: · 3x²y+ y³ + 2xy²y' = 0, y(2) = 1

A: given differential equation we have to find the general solution

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.