Find the augmented matrix of the system of equation. 2x – 14y + 9z = 47 -3x + 24y = - 52 2x -13z = 23

Q: Using Simpson's 3/8th rule, evaluate the following integral with 6 sub-intervals -2 (x+1)dx x2+2x+2"

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Q: What is the Laplace Transform of f(t)=Dv((1-cos(8t))/2)? O s/(s^2+16) O 4/(s^2+16) O 4/(s^2-16) s/(s...

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Q: If a(1) = 2, and a(k) = 5a(k-1) for all integers k >= 2, then what is the 4th term of the sequence?

A: A sequence is a set of numbers that has a particular order or obeys a general form. Usually, the nth...

Q: Each of the following statements is an attempt to show that a given series is convergent or divergen...

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Q: Let f(x) = x° +6.4x. We will use the interval bisection method to find an approximate solution to f(...

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Q: 3(n+1)! (п —1)1 126

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Q: prelative to the basis S=(P. P2. P3) for P2. p = 20 - 30x +25x; P, = 5, p, = 5x, ps = 5x. %3D %3D %3...

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Q: Consider a single node x0 and stepsize h. Based on these answer the following: (Q) Derive the formul...

A: Given a single node x0 and step size h, we are asked to derive the formula for the Forward differenc...

Q: Complete the table showing the number of cans and bottles of low-sugar and regular juice in one of t...

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Q: Using Dodge-Romig plans for AOQL of 3%, determine the sampe size if the process average defective is...

A: Given: Lot size=600,  Process average defective=0.50%. To find: Sample size using Dodge-Romig plans ...

Q: Problem 3. The length and width of a rectangle are measured as 30cm and 24cm, respec- tively, with a...

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Q: 5х - Зу %3D 6 7x +у = 0 %3D

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Q: 4) Give all the values of a > 0, ß>0 so that the following matrix ominant. In thesc cases the Gauss ...

A: The problem is related to matrix. In the matrix strictly diagonally dominant matric to be defined an...

Q: Suppose [1]. 7(t) = cet + cze' -1 -3 -2 -1 -1 -2 j(0) = A B (a) Find C1 and C2. C1 = - -3-2 - C2 = -...

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Q: Find y as a function of t if 64y" + 144y' + 106y = 0, y(0) = 8, y' (0) = 3. y =

A: Given DE is  64y''+144y'+106y=0.....(1) Initial conditions are  y(0)=8,y'(0)=3......(2)

Q: he following DE

A: Given,         y''+3y'+2y=ex, y(0)=1, y'(0)=0

Q: Determine the particular solution. y" + 2y' + 2y = 0; y(0) = 1,y'(0) = 2 %D

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Q: Find the area of the surface obtained by rotating the curve y? = 4x + 4, 0 <x s 8, about che x-axis.

A: We have to find the area of the surface obtained by rotating the curve y2=4x+4, 0≤x≤8 about the x-ax...

Q: Evaluate VSinx dox Vsínx+VCosx

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Q: Consider the power series f(x)=log(n)x" . The R.O.C. of f(x) is (a) 0 (b) 1 (c) 3 (d) 0

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Q: If Ax = ax for nxn matrix A, nx1 matrix x, and a E R, determine a scalar 3 with the property that A2...

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Q: Solve the following initial value problem. y" + 16y = sin 2x; y(0)= 1, y'(0) = 0 %3D The solution is...

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Q: For the following exercises, determine the slope of the tangent line, then find the equation of the ...

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Q: Find the main, median and mode for the given data. 11,8,2,517,39,52,42

A: Given: 11,8,2,517,39,52,42

Q: Consider the parallelepiped P in R' determined by the vectors u = [0 -1 2], v = [-1 1 -1] and w = [-...

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Q: Solve the differential equation. not laplace

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

Q: Suppose that E Cn x" is a power series with interval of convergence (-3, 3) and that Cn a" converges...

A: There is no change in the interval of convergence of a series if we multiply is by a polynomial. Als...

Q: 4. Examine if functions f(x)= x , f2 (x) = x², f;(x)=x² – 2x are linearly independent.

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Q: u:(x, t) = Uzz(x, t) u(0, t) = u(1,t) = 0 u(x,0) = f(x)

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Q: For each of the following sequences, tell whether they converge or diverge as n → ∞ 1 a) an d) an = ...

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Q: n-1 8. (lerror| < 0.0005) n2. 2n n=1

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Q: Use Euler's method to calculate the first three approximations to the given initial value problem fo...

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Q: 1.8 (3-2) (7- y?) 2) (7 – s²) dz dy -1.8 -1.6 using an adaptive Gauss-Legendre Quadrature method.

A: The integral given is as follows: ∫-1.81.8∫-1.61.63-x27-y2dxdy We are asked to solve the integral us...

Q: I-X, 0<x <T Q7) Find the Fourier sine transform of f (x)= otherwise

A: The Fourier sine transform of the function f(x) is represented as F(k) or Fs[f(x)], it is defined as...

Q: Find the volume of the solid that lies under the plane 4x + 6y – 2z + 17 = 0 and above the rectangle...

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Q: y" +9y'+ 18y 2050 e2 cos 10t A solution is y,)-D

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Q: You have a job where you are helping track revenue and sales. Suppose that p is the price in dollars...

A: Given, p = price in dollars of a gadget. q= f(p)= quantity sold in hundreds. Revenue R =p.f(p) in th...

Q: 14.F(t) = cos*t – sin*t А. s2+4 2s С. s2+4 D. s2+4 s2+4 B.

A: We have to find the Laplace transformation of F(t) = cos4t - sin4t.

Q: Please solve using Cramer's Rule.

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Q: Find the area of a quadrilateral having sides AB = 10 cm, BC = 5 cm, CD = 14.14 cm and DA = 15 cm, i...

A: Given,         AB = 10 cm, BC = 5 cm, CD = 14.14 cm and DA = 15 cm, and the sum of the opposite angl...

Q: Use Euler's method to calculate the first three approximations to the given initial value problem fo...

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Q: If S = 1 +3 + 3*3 +3*3*3 + 3*3*3*3, then S = ? 121 120 241 242

A: Given S = 1 + 3 + 3*3 + 3*3*3 + 3*3*3*3

Q: The following graph shows the temperature in Nellie's dorm room over a 24 h period. 25 20- 15 10 10 ...

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Q: > B .. .. .. A is the Mode, Bis the Median, Cis the Mean O Ais the Mode, B is the Mean, Cis the Medi...

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Q: What is the equation of line tangent to sin r+1 y = at the point (T, -1)? cos E O y= TX –1 - O y = 1...

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Q: Evaluate the integral f cos z(1 - sin 1)-1/2 dr. O In (cos r) +C O In (sin z) + C 2-in(1- sin 1) + C...

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Q: .) Determine the series solution to u' – tu = -², up to rª.

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Q: Q 03: find the orthogonal trajectory of family of parabolas represented by the equation y? = 4ax Ans...

A: Given y2 = 4ax2y dydx = 4adydx = 4a2ya = 2yy'4= yy'2y2 = 2xy dydx

Q: Refer to the figure and find the volume generated by rotating the given region about the specified l...

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Q: Find the area of the shaded part. Write your answer with complete solution on your answer sheet. 3m ...

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