Use the following methods to solve for the root of the equation f (x) = xe-* sin?x |

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Q: Using the variations of parameters method for the differential equation y" + 2y'+y = e-* In(x), we…

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Q: Determine the value of k such that the system of linear equation has no solution. x+2y + kz = 6 3x +…

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A: Given: Table of sub-interval x 0 5 6 8 9 f(x) 3 4 5 7 6   To find: Area under the curve

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Q: Suppose that f : A → B is a function, C C B and D C B. Prove that Š (C – D) = } (C) - } (D).

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Q: II. Consider the function g defined by 1 g(x, y) = cos (TLV) + logg(r – y)" Do as indicated. g 1.…

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Q: х+у+2z %3D0 Solve x — у + z%3D —1 2х + у +z %3D 2 by Gaussian elimination. а. (1,-1,-1) b. (1, 1,…

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Q: Write the simplex tableau, that should be used to: Maximize P = 5x1  + 2x2 subject to  x1+ 7x2 = 0…

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Q: 11. Solve the second-order differential equation y" – y' – 2y = 20 cos x using the method of…

A: To solve the second order differential equation by using the method of undetermined coefficients.

Q: A' D A C' E b В H a

A: Consider △ABC and △HEC,

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Q: (ii) If Y = e*² error in Y at x = 2, if the error in x = 0.002. = et" + 3x + 4x, find the percentage…

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A: To solve2y+y2x+ex1+1xdx+x+2ydy=0

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Q: Using Variation of Parameters, the particular solution y, of the non-homogeneous differential…

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Q: If E = 2ax + ay - 3az, F = ay - az, and G = 3ax + 5ay + 7az, determine E· G - (|F|^2)

A: Given that  E=2ax+ay-3azF=ay-azG=3ax+5ay+7az

Q: I. Show that the function ƒ defined by (1, y) = (1, –1) f(1, v) = { +g (z, y) # (1, –1) + y is not…

A: We will use the sequential characterization of continuity to solve this problem. The detailed…

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Q: H.W p.564/ use Trapezoidal method and Simpsons' rule to evaluate dx 1) S, n = 4 1+x²

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Q: Find a generating curve on the xz-plane for the surface of revolution with equation x²+ y²+ z²= e2x

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Q: , find the percentage error in

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Q: Find the surface area of the plane ( 15x- 5z+20y=35) if it is in the first octant

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Q: Let Lin{u} =U, Lin{w} = W, where %3D %3D 3 u = w = Mark only correct statements. O a. The matrix of…

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Q: find the Lineartransfromation T:Maxz (R) /R whose matrix MT with vegard tothe base and the base…

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Q: Solve the system of differential equations x' = 16x + 36y y' = – 6x – 14y

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Q: Draw an exploded diagram of the office organizer.

A: Given: Let us determine the exploded diagram of the given office organizer.

Q: Let R be a ring such that for each a e R there exists xE R such that a'x = a. Prove the following :…

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Q: 3. Let f(x) = x(x² + 1)/2. (a) Evaluate fo f(x)dx using integration by parts. (b) Evaluate f, f(x)dx…

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Q: 3. Let A : →P be given by I1 12 0, 2' 22 In A(T1,..., In, ...) = In,...) 2n a) Prove that A is…

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Q: 3. (a) Construct a graph with six vertices and degree sequence 1, 1, 2, 2, 3, 3. (b) Construct a…

A: 3. (a) Construct a graph with six vertices and degree sequence 1, 1, 2, 2, 3, 3.   (b) Construct a…

Q: 1. Use Least Square Regression to fit y - ax to 6 7 8 9 8 10 13 3 4 5 1.5 2 3 4 5 y

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Q: Question 5 Solve the following initial value problem using Laplace transform y" – 4y' = 8, y(0) = 0,…

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Q: a) A = (1 - 2), B= b) A = B = (3 -7) 2 2 8 A = B = о 11 c)

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Q: The weights of 40 pupils are shown below 35 43 52 39 62 54 58 37 44 62 43 48 53 42 55 37 45 50 40 46…

A: Making use of Tally method.

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Q: Find the surface area of the plane ( 15x- 5z+20y=35) if it is in the first octant

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Q: Find the surface area of the plane ( 15x- 5z+20y=35) if it is in the first octant

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Q: 8) (D + D,)'u= 0 %3D

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Q: Find the directional derivative of in the direction of the vector (1,3) at the point (-1,2)

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Q: Find the all the roots of f (2) = 522 – jllz – 2. For this question, whenever permitted by the…

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Q: Consider a rectangular plate with width w and hight h. If the temperature at all edges are kept to…

A: Given: The solution of the given problem is ux,y=∑n=1∞ancoshnπwy+bnsinhnπwysinnπwx. The boundary…

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Q: Consider the equation surface S in the three dimensional space given by the equation X = z2+2 (a)…

A: Given the surface S in the three-dimensional space given by the equation x=z2+2. (a) The graph of…

Q: Determine the value of k such that the system of linear equation has no solution. x + 2y + kz = 6 Зх…

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Q: 5. lodine-131 is a radioactive isotope of iodine that is used in a sodium salt to diagnose thyroid…

A: 5. Concept: Here we shall use the formula: N=N00.5t/h Here N is the remaining substance, N0 is the…