and has real 2erar. find no necessary and sufficient conditions P(x) dx. 9(x) or convergencer of

Q: x2n-1 Find the radius of convergence of En=1 5n 100

A: Given, ∑n=1∞ x2n-15nFind radius of convergence

Q: 1. Let z, be the sequence of approximations to the root of f(x) = 0 and r, is a suitably close…

A:

Q: 1. Try to use the ratio test or the root test to determine if the following converge or diverge. If…

A:

Q: Determine a real root of f (x) = x* – 2x - 4x? +4x+4 using the Newton-Raphson method. Use an initial…

A: Given fx=x4-2x3-4x2+4x+4, εa=0.1%, xo=1.5.

Q: Consider the following equation f(x) = a3 – 3x2 + 3x – 1 = 0, [0.5, 1.5] Determine a function g(x)…

A: given fx=x3-3x2+3x-1 with interval 0.5,1.5 a)  put x=0.5 into the equation of function…

Q: Find the radius of convergence for: (– 1)"r" Vn +8 72 1 Basic Funcs Trig

A: We have to find the radius of convergence in this question.

Q: 0.7 The series A=2 nlogn Ans'- A) Convergent ) clwergeut to too o divergeut to -s Is Oscillating

A:

Q: Determine h if V = 1.1535 m³ and r= 1m using Fixed point iteration on the given convergent equation.…

A: Given function is as follows. h=h3+3Vπ3r We have V=1.1535 m3, r=1 m. So we have h=h3+1.1023 For more…

Q: Given f (x) = a² – x – 6.Using the fixed point iteration method (x=g(x)), where g(x) is a negative…

A: Given: The function fx=x2-x-6.

Q: (-1)"n" sin" (4) 2n n=1 CS Samed with Camacarner

A:

Q: (n+1)(2x+1)" 2H (2n+1) a) Find the radius and interval of convergence of

A:

Q: Which one of the following methods always converges while finding the root of f(x) = 0. Newton…

A: We have to choose the method that always converges while finding the root of f(x)=0.

Q: if the Positive root aso: ax²+x-1=0 it is calculated using the recurring formula X₁+1 = 1 = a (x₁)²…

A:

Q: Given f (x) = x² - x- 6.Using the fixed point iteration method (x-g(x)), where g(x) is a negative…

A: Given function fx=x2-x-6 To evaluate value of x take f(x)=0, x2-x-6=0x2=6+xx=±x+6Given x=g(x) is the…

Q: plz ans both B and C

A: This method is called power method. If modulus of all eigen values less than 1 then the power method…

Q: (d) 5 (ar + 2)k 2k k=1

A:

Q: (2k)!rk (3k)! (e) k=1

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

Q: (-1)"-1 Vn n=1 Input C for convergence and D for divergence:

A:

Q: 6. Consider xn+1 = (1/3)(2xn - 9/xn2). Does it converge for any nonzero initial point? If so, to…

A: Given that,

Q: Consider the function f(x) = Inx+2- whose graph is given below. (a) On the graph, illustrate how…

A: Draw a tangent line at f(x0) and if it crosses or cuts the x-axis then that point is x1. The Newton…

Q: End Hhe Point wwise Convergence and show uniFeraly converge ornct ?? X€ Co13

A:

Q: b) Suppose (xn) does not converge to 0. Then there exists e > 0 such that all except for finitely…

A: Let us suppose the following sequence xn=1,0,1,0,1,0,..... We have to see that the odd terms are 1…

Q: For each integer k = 1,2, 3, ... and each choice of + or –, determine the stability of x = 0 as a…

A: When k =1, the slope fields from the differential equation x˙=x and x˙=-x are shown below: and As…

Q: Discuss the Convergence or Divergence for D { [4+ (-0"]" (Z+2)" こう 2n+1 - DZ² 2 لع Wi ngo (2n+¹)!

A:

Q: The radius of convergence of Eo(3n + 1)! (x + 5)" is: infinity none of the other options

A:

Q: 1 d.x x In (ex)

A:

Q: Determine if the given is convergent or divergent. (x²+1)² n Zn=1 (n²+1)²

A:

Q: Q2: If the positive root of the equation f(x) = ax + x- 1 is calculated using the fixed point method…

A: Let's find.

Q: 7) The point p = 3 is a zero of the function f(x) = x³ – 7x² + 15x – 9, using Newton iteration to…

A: Given that fx=x3-7x2+15x-9. 3 is a root of this function. To find f'x: f'x=3x2-14x+15 At x=3,…

Q: 4) ( The function f(x)=x'-5x +3x+9 has a double root at x= 3. Use a) the standard Newton-Raphson, b)…

A: a)

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

A:

Q: Find the convergence set (or interval of convergence) for the 80 (x-2) Σ 6n+8 n=0 1.

A: Solution

Q: (h) (3x)* (3.r)* 2k |1 k=1

A:

Q: ax Examine the convergence of , where a>1. x (log xy" +1

A:

Q: determine the radius and convergence of E n=1 5xn/3n2

A:

Q: 1.3 write the fallowing integral (a) e | Determine whether the folawir Converges or diverges. x- 3x°…

A:

Q: 1 3. Show the Root Test and the Ratio Test cannot be used to determine the convergence 2 71n(p))c.…

A:

Q: The approximation of the root x of the function f (x) = x* – 5x3 + 9x + 3 in the interval…

A:

Q: determine convergence or divergence using any method covered so far.

A:

Q: 1. Determine whether the Fourier series of the following functions converge uniformly or not. Sketch…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: Determine convergence or divergence of E=1 using any method covered so far. n=1 n+sin(n)

A: The given series ∑n=1∞1n4+sin(n)

Q: Determine the interval of convergence of the following: x2n+2 (2n – 2)! n=1

A:

Q: Q2: If the positive root of the equation f(x) = ax +x-1 is calculated using the fixed point method…

A:

Q: The function f(x)= x' - 5xr² + 7x - 3 has a root at x = 3, write one re-arrangement to that root,…

A: For any point x0, consider the recursive process xn+1=gxn where n=0,1,2… If f is a continuous…

Q: 1 - dx converges? What are all values of p for which x2p 8.

A: Given : ∫1∞1x2pdx

Q: 4) Consider the function given by (-1)*+' (x-7)* Ax) = E n =1 Find the interval of %3D convergence…

A: The function is  f(x)=∑n=1∞ (-1)n+1(x-7)nn

Q: The iteration Xn+1 = 2 – (1+c)xn + cx, will converge to a = 1 for some values of c (provided that xo…

A: Given Equation: xn+1=2-(1+c)xn+cxn3=f(xn) and this iteration converges to α=1 for some c To find c's…

Q: 3. Gauss – Seidel Method 4х — у — z %3D 3 -2x + 6+ x = 9 -x +1+7 = -6 Assume a convergence of ɛ =…

A:

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.