Formulate a 4th order interpolating polynomial that models the COVID cases in the Korea from April to October, 2021 in a monthly basis. Choose 5 points within the interval to obtain the best model. Using lagrange methods. Show your full solution Month Cases April 60,457 May 55,875 June 68,659 July 45,568 October 58,647

Q: (b) Use the GaussJordan function to solve the system: 1 2 3 4 5 6x₁ 91 1-325-4 6x₂ 37 6 1-2 4 35 63…

A: Augmented matrix of the given system 123456911-325-463761-24356332-1456814-2-1365695-6-34-21-4

Q: Evaluate the following: 25² a. £-1 : + b. £-1 [ s²+25 4-2s c. £1[ | + 4=s? s4+8s +16 353

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Q: (D³ + 3D² + 3D + 2)y = 0

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Q: Using Fixed-Point Iteration with an initial value of zero, find a root of the function: f(x) = x³ -…

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Q: Compute the Fourier series for the given function f on the specified interval. a) f(x) = x, - π < x…

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Q: The general solution of (D³+4D)y=0 is (A) Ay=c₁еx+c₂e²x + c3e² (в y=e*(c₁cos2x+c₂sin2x) -4x y =…

A:

Q: 4. The statement "p: r is a real number such that r² ≥ 0." is a proposition. 5. If a bird can fly,…

A: A proposition is a statement that can be either true or false; it must be one or the other, and it…

Q: Let A={mez: m = 2a for some aeZ}, B= {mez: m = 2a for some aeZ}. Show that A=B. (need to show A≤B…

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Q: Based on the image attached, solve the following questions. i) Express graph the system by using a…

A: The system of equations can be solved graphically or algebraically. The method of substitution and…

Q: plication 12 e. 9 in Z29 under addition

A: Follow the steps.

Q: (a) Find the mass, M, of a solid sphere with radius r = 2 and density function given by f(r.o) = ² =…

A: A solid sphere with radius r=2 and density function given by…

Q: df =2f-48 dt dg - f-3g dt

A:

Q: Solve the quadratic equation: 2 z² − (3 + j5)z +j8-5=0 -

A: To Solve: the complex quadratic equation z2-(3+5j)z+8j-5=0.

Q: Using Rodrigues' formula for Pn(x), (T) (i) Pn(-x) = (-1)" P₂(x) cl

A:

Q: Find the surface area generated by y = x³; x = 0 and x = 3 and is revolved on x-axis.

A:

Q: 2. Consider the following first-order ODE: (a) Solve by hand with Euler's explicit method using h =…

A: Given the differential equation dydx=x-y with the condition y0=1 and step size h=0.4 Solve using…

Q: A solution of a differential equation free from arbitrary constants obtained from the general…

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Q: (3 min) Is the proposition (pvq)^(pv¬q)^(pv¬q)^(pv q) satisfiable? True False

A: First we construct the truth table for the given proposition. We use "T" for "True" and "F" for…

Q: find the solution from x = 0 to x = 2 with an increment of 0.5 by a) Euler’s Method  b) Heun’s…

A: given, f(x,y)=dydx=4x3-53x2+6x-7 a)Eulers method: h=0.5, yi+1=yi+f(xi,yi)h, y(0)=2 for i=0,…

Q: N (z−2)²

A: Follow the steps.

Q: Create a table wherein it shows your score or your • class interval • class width • frequency •…

A: To create a table where a data is shown with the frequency, class interval and cumulative frequency.

Q: Using the linearity of the inverse Laplace transform, solve for the solution of the differential…

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Q: 9. To solve L [et] = you may use: n! (s-a)n+1 [te] - (-1){(t)}

A: here , we need to find laplace transform of function f(t)= f     we know laplace transform of eat…

Q: Consider the following initial value problem y(1) = 1 y'(t) ye2t; t € [1,6]

A:

Q: cosec²x + 2cosec²x + 3cosec²x + ... + n° +ncosec²x)sin²x

A:

Q: c. 7 in Z10 under multiplication

A: Solution

Q: 2. Consider the surface f(x, y) = x² + y² = x² + 2xy - y² - a) Find all critical points of f (Hint,…

A: As we know a saddle point or minimax point is a point on the surface of the graph of a function…

Q: Message: [-859] [1943] [1060] [O_25] [-7 81] matrix used: 3] -1 3

A: Given: A=12-13 To use matrix A to decipher the message: [-8  59] [19  43]  [10  60]  [0  25]  [-7…

Q: Which of the following is homogenous of smallest degree? x² + y² A X x-y B C D x-y In x - In y √√x+y

A:

Q: equations: b. cos(3n) + 2 sin(3n)

A: As per the policy of bartleby the provisions is to solve only one question at a time

Q: Given a differential equation as d²y x2 dx² +4y=0. dx By using substitution of x = e' and t = ln…

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Q: ax-a O cos (0) cos (4) O cos (0) sin (4) O None of the choices O sin (0) cos (4) O sin (0) sin (4)

A: Option 1 is correct

Q: Q1/ Find the area of the region bounded by the given curve (y = x² - 5) and the curve (x = -) by…

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Q: Using any of the methods discussed for both numerical differentiation and numerical integration…

A: f( x) = sinx - x3 + 1 By Midpoint method f'(a) = (f(a+h) - f(a-h)) /2h

Q: The following equation is already given in the standard form: x² y² 1 9 16 Sketch a graph of the…

A: Solution

Q: 1. Newton's Law of Cooling: At 9:00PM., a thermometer reading 70°F is taken outdoors where the…

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Q: Solve the final solution for the differential equation with initial values: y(0) = 2 & y'(0) =6. Use…

A: The given initial value problem is                                             y''-3y'+2y=6 ;…

Q: What is the DE of the family of parabolas having their vertices at the origin and their foci on the…

A:

Q: Evaluate D³(sinx - 4e²x) A -sin x-32e²x B -cos x-32e²x (C) с cos x-32e²x D sin x-32e²x

A:

Q: Let H be a Hilbert space, Mc H a convex subset, and (x₁) a sequence in M such that ||x₁|d, where d =…

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Q: d²y ) Solve the differential equation +y = dx² y'(0) = 0. sin(x) + cos(x) with y(0) = 1 and

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Q: y" + 4xy' +(4x² + 2)y=8e¯x(x+²); _y₁ = è¯ e

A: This is a problem of differential equation.

Q: 8.M.2 One can define a bilinear form on R2 by the formula ‹ [ 8 ], [ 8 ]› = ac − 3ad − 3bc + 7bd. a)…

A: We have to find the Gram matrix G of the given bilinear form. Then, we can proceed further.

Q: [2 + m 3 1. Given A= 1 a. (AB)¹ - A b. |4A-¹ + 2B-¹| a. 2AB-¹ 1 2 -1 -1 4 5+ ml and B = [-1-m 2 91 3…

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Q: Based on known series, give the first four nonzero terms of the Maclaurin series for this function.…

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Q: Find the determinant of the following matrix- (1 x₁ x² ... x7-¹\ 1 2 x2x² x²2 ... 1 In x² : ⠀ ⠀

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Q: Show that there are no Boolean lattices with cardinality 5.

A: We will use the fact that the cardinality of a finite boolean lattice is always power of 2 ,to…

Q: y" + 3y² + 2y = 12x²; y(0) = a, y'(0) = b Find the solution. A y(x) = c₁e²x + c₁₂e-2x+6x³-18x²+2 B)…

A: given, y''+3y'+2y=12x2, y(0)=a, y'(0)=b General solution of y(x)=yc(x)+yp(x) for homogenous…

Q: Write down the six elements of S3 and give the multiplication table for the group. The six elements…

A: Given six elements of S3 are     1=123123, a=123231=123 , b=123312=132, c=123213=12, d=123321=13,…

Q: = r² at r = 1,0 = 4. Write the linear approximation of the paraboloid z=

A: The given paraboloid is z=r2. To find: linear approximation of the given paraboloid.