d2y/ dx2 + y = xsinx and show that the solution is  y=c1sinx +c2cos x - x2cos x/4+xsinx/4

Q: 4. Prove that given any integer for n, n3 + 2n will be divisible by 3. 5. Write the formal proof…

A: We have to prove that given expression are divisible by given number.

Q: DIRECTIONS: If U = {a, b, c, d, e, f, g, h, i, j, k}; A = {a, b, c, e, f,}; B = {b, c, d, e}; C =…

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Q: 9–10 Change from rectangular to spherical coordinate 9. (а) (1, /3, 2V3) (b) (0, – 1, – 1) 10. (а)…

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A: Given X~Uniform(a, b)

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A: (a) Here the given data is  We know the Newton's interpolating polynomial is…

Q: 8. Solve the given initial value problem. dx = 3x +y- e 3t. x(0) = 2 dt dy = 4x + 3y; dt y(0) = - 5…

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Q: HW 1: Find the trigonometric Fourier of the triangular waveform shown over the interval (-TT, T).…

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Q: below diagram, OA = a, OB = b and 0Q =a. 3

A: Solution

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A: We will use counting including combination  to find solution .

Q: 3. Find the series solution of x²y" + x(G+ 2x)y' + (x – )= = 0 using frobenius method

A: Given differential equation is x2y'' + x12+2xy' + x-12y=0 Let y=∑n=0∞ anxm+n  be the solution of…

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A: Given that,  Firm's cost function;  Cw1,w2,y=kw1aw21-ayb                                         (1)…

Q: 2. State sec(cosec) in terms of x. Hence solve the equation 1 sec(cosec) 2х

A: We have to find value of x for given Equation.

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A:

Q: 92 (a) Determine the roots of fix) -13-20x+ 19 -3x graphically. In addition. determine the first…

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Q: Solve for the general and particular solution using Laplace Transform y" + y = sqrt (2) (cos sqrt…

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Q: the cost of producing q units of a good is C(q) = 50q +500, and the firm sells q units at p(q) =…

A: Solution

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Q: 3. Joshua's money tripled itself for 17.36 years. a. Determine the interest rate if the money was…

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Q: What is the Laplace transformation of  L{e-2t cosh (4t) + e-2t sinh (4t)}

A: Here we can use the following formula Lcoshat=ss2-a2Lsinhat=as2-a2andLe-atft=Fs+a   where Lft=Fsthe…

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Q: You are given a technology matrix A and an external demand vector D. Find the corresponding…

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Q: 3. Show that 1 > 0. 4. Show that if a > b and c < 0, then ac < bc.

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Q: 3. On the relation R on the set {1, 2, 3, 4, 5} defined by the rule (x, y) e R if x+y<6. a) List the…

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Q: Given the vector field F = x'yzi + xyzj + xyz'k; Transform the vector field into cylindrical system…

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Q: (3a) Let n E Z. Prove that if 3 ł n, then 3|(n² – 1)

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Q: y = x², x = 2, y = 0

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Q: 1. Please rewire the expression below without the summation operator.

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

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A: The Objective of the LPP is to maximize the value of total Audience exposure by allocating proper…

Q: H6: Find the equation of vibration of the beam to satisfy the following initial and boundary…

A: Given the equation of vibration of beam as  α2∂4y∂x4=-∂2y∂t2                                   (1)…

Q: (b) Obtain the quartic interpolating polynomial of the form f(x) = a + bæ + ca² + dæ® + ex* which…

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Q: 100% +| O 2 /2 2. Below you are given the graph of the function y=g(x). Use the graph to answer the…

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Q: 4.) Your PE Teacher told you to go jogging for 10 minutes daily for the first week 15 minutes daily…

A: please post the multiple question separately.Here I answered 1st question i.e, 4 no as per our…

Q: If the position of an ob ject moving along a straight line at any time is expressed by s(t) = 1³ –…

A: Given: s(t)=t3-9t2+24t

Q: Evaluate the triple integral. 10x dV, where E is bounded by the paraboloid x = 5y? + 5z2 and the…

A:

Q: Find the volume. 1.5 m 1.5 m 50 cm 2 m 2 m

A: To find the volume.

Q: Verify that 1; is an eigenvalue of A and that x; is a corresponding eigenvector. 11 %3D 13, х1 %3…

A: Given A = -14-645-12-2-43λ1 = 13, x1 = (1, 2, -1)λ2 = -3, x2 = (-2, 1, 0)λ3 = -3, x3 = (3, 0, 1)

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Q: 1. A graph of a function f (x) is given as follows. Sketch the graph of f(x) . State all the x and y…

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Q: Given are the two sets of data on the science achievement tests of two Let's Practice A. Do as…

A: 1. Section A : n = 40 Mean = ∑ Xin = 72+73+74+.....94+94+9640 = 83.125 Standard deviation = 7.2083…

Q: Given the equations 10x1 + 2x2-X3 = 27 -3x1 - 5x2 + 2x3 = -61.5 X1 + x2 + 6x3 = -21.5 %3D a) Solve…

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Q: A carpet is to be installed in one room and a hallway, as shown in the diagram below. At a cost of…

A: To find the cost to the carpet area when cost per square meter is $14.50 . And the figure is given .

Q: Let e1, e2,..., en be an orthonormal list of vectors in an inner product space V over F. For any…

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Q: 3)3 differant radical #'s rany is the set of all real #'s greater than o

A: Let us give three different examples of radical numbers in the next step.

Q: ove the following: 1. FT(f(ax)) = F(=) a

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Q: * Homew. Σ in The following table shows the results of a survey of authors by a fictitious…

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Q: pand f(x) =5x as a half-range Fourier sine series in the range 0 < x <A , and sketch the function…

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Q: Activity IV. Determine the truth value of each item. A. If X and Y are true statements and A and B…

A: Since you have posted a multiple  question according to guildlines I will solve first   question…

Q: Dept. A. A. 250 25 240 125 400 335 C 100 225 125 285 175 Construct the following:

A: Solution