2. Determine the first root of the function f(x) = te" -0.3. Using two iterations of the bisection meti od to determine the root. Employ initial guesses of x1= 1 and Xu = 5. Compute he estimated error ɛa after each iteration.

Q: (c) For each of the two matrices A below, express the entries of A" as a recurrence relation. [:] 1 ...

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Q: • Let f(x) = 5x. Let P be the partition {0, 1/3, 2/3, 1}. Compute Lp(f) and Up(f). • Let f(x) = 5x a...

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Q: 6. Maximize 10x +35y subject to 8x + 6y < 48 (board-feet of lumber) 4x+y 20 (hours of carpentry) y 2...

A: Given: max 10x+35ysubject to8x+6y≤484x+y≤20y≥5x,y≥0

Q: Solve the above system of equations below by Gauss-Seidel method: End the iteration when 3 decimal a...

A: We can solve this by using Gauss-Seidel method

Q: 2- Calculate the extremum point of below function and Classify it f(x) = 4 x3 + 2 v11 – x + x?

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Q: Given the point D(−4, 5, 3) and A = yax + (x + z)z ay, express the D and A in: Kindly answer in vec...

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Q: The temperature distribution of a long, thin aluminium rod with a length of 12 cm can be determined ...

A: The heat equation k∂2u∂x2=∂u∂t---1 is given with k=0.835cm2s-1, ∆x=2cm, ∆t=0.1s, t≥0. The B.C's are ...

Q: x^2 - 5x + 8 is equal to 4(2x - 5)^2 + 7 2(x-5)^2 - 6 O (2x-5)^2 - 7 O (x - 5)^2 - 9 O O O

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Q: For which value of k does the matrix 4 k A have one real eigenvalue of multiplicity 2?

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Q: 4 f4* u lt - i) + (+1) u(t -)

A: Some of the properties of the Laplace transform   Lu(t-c)=e-cssLf(t)+g(t)=F(s)+G(s)L[af(t)]=aF(s)

Q: Q: Prove the trans farm; formula's by definition f Laplace -sto L 181t-6)J= ë* (Dirac Delta Funchan)

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Q: 3. Given an equation of a circle, determine how to find a point on the circle. Determine how to find...

A: Suppose (x-a)2 +(y-b)2 =r2  be an equation of circle with centre at (a,b) and radius is r. Two ways:...

Q: Q2. Find the radius of convergence and interval of convergence of n! n=02"

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Q: 4. Suppose you are given equations of two overlapping circles as shown below. a. Determine how to fi...

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Q: Solve y (xy + 2x?y) dx +x (xy-xy?) dy = 0.

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Q: (a) Find the rank and nullity of th4e following system of linear equations: x, +2x, - x, +4x, =0 2x,...

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Q: Solve for the Laplace transform : (number 12)

A: Laplace transferom of the function

Q: ). Find the complete solution to 1. 2 3 1 1 [1 -17 X2 X3 %D 3. 4 3 X4 [4 4 5 0 X5.

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Q: y = -x^2 + 4x + 3,y = -x^3 + 7x^2 - 10x + 5, x = 1, x = 2 * O 4.083 sq. units O 4.183 sq. units O 4....

A: Given function is y=−x2+4x+3 and y=−x3+7x2−10x+5 and x=1, x=2. We have to find the area of the requi...

Q: Frad PH) 5-a

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Q: (d) Consider the following system of linear equations 2x1 – 3x2 + x3 - 3x4 + 2x5 = 6 2x1 – 3x2 + 5x3...

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Q: A software company uses two quality assurance (QA) checkers X and Y to check an application for bugs...

A: If A and B are independent events then PA∩B=PAPB

Q: If the present value of a cash flow at an annual rate of interest of 4.5% is $30000, what is the yea...

A: Given: Annual rate of interest 4.5% and Present value of cash flow: $30,000. To find the yearly cash...

Q: Obtain the values of the following integrals. sin?nz+cos?nz A) dz on the contour |z – i| = 3 (z-1)(z...

A: According to our guidelines we can answer only one question and rest can be reposted. 

Q: Let X = {1, 2, 3, 4, 5} and Y = {3, 4}. We define the relation R on the set P (X) by the formula (A ...

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Q: 4w dw = w2 –4 -3^(5/3) О з(3/5) 3^(3/5) 3 O O O

A: We have to evaluate the integral ∫124ww2-43dw.

Q: ii) Prove that if f is continuous on [a, b], ƒ(x) > 0 on [a, b], and if f(c) > 0 for some ce (a, b),...

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Q: In Problem 5, you found the closed formula for the sequence below. Use proof by induction to verify ...

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Q: 3s+9 3. F(s) = s2 +5

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

Q: While calculating correlation coefficient between two variables x and y from 25 pairs of observation...

A: The formula to calculate the correlation coefficient is given by r=n(∑xy)-(∑x)(∑y)[n(∑x2)-(∑x)2][n(∑...

Q: 4. Let 2; x + f(x) = 1; x = Prove that f is R. I. on [0, 1] and find G f(x)dx. Hint: See a similar p...

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Q: 3. Water is being poured at the rate of 2 7 m3/min. Into an inverted conical tank that is 12-meter d...

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Q: ди One-dimensional heat equation at dx

A: To solve the equation we can use method of separation of symbols. In this method we put our dependen...

Q: f (x) = x3 – 7x² + 8x – 3 if xo = 5.

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Q: Problem 3. Solve the following equations system: 2x1 + 6x2+ 4x3 : 18 %3D 5x1 + 6x2 + 4×X3 = 24 -2x1+...

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Q: Determine the real root of 8(sin x) e-x- 1 = 0 with x0= 0.30 using Newton-Raphson Method until absol...

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Q: Evaluate ax xm-1 sin bx dx in terms of Gamma function. -ax

A: We use the special results of Gamma function to solve this problem as in next step.

Q: Sum of two numbers is C then find the minimum of the sum of their squares

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Q: 0 -3 -71 -3 -3 | has an eigenvalue A = 4. The matrix A 4 -2 2 4 Find an eigenvector for this eigenva...

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Q: Consider the function f : [a, b] → (a, b] with ƒ being continuous. Show that there is a number c in ...

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Q: Apply Lagrange's formula inversely to obtain a root of the equation f(x) = U, given that f (30) = - ...

A: given f(30) =  -30 . f(34) = -13 , f(38) = 3 , and f(42)  = 18 here x0 =30 ,x1 = 34 ,x2= 38 ,x3 = 42...

Q: . Determire flx) as a polynomial in x for the following data, using Newton's divideu difference form...

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Q: To pay for an SIK,600 motorcycle, Raina made a down payment of $4700 and took out a loan for the res...

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Q: A particle of unit mass is projected so that its total energy k in a field of force of which the pot...

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Q: (5z + R)uz + (7z + R)u, R (b) (z+ R)uz + (y + R)u, = R+u? %3D

A: General solution to the differential equation

Q: Compute the Inverse Laplace of the following Laplace Transforms. Show complete solution F(s) = s+3 4...

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Q: If(z)- 니 < e. By definition Show that: lim, »1+i = - а. b. 4 lim = 2i. %3D 2- 1-i z2

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Q: A class is taking a multiple choice exam. There are 8 questions and 5 possible answers for each ques...

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Q: fx (partial derivatives)

A: We can solve this problem by using complete derivative .

Q: Find the Laplace transform (3)

A: