For the differential equation y' + 8y + 16y = sin(7x)

Q: Find f(x) at x = 5.5 f(x) 2 14 4 88 6. 274 8 620 10 1174

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Q: 5. Let p be a prime. Prove that the group (x, ylx' = yP = (xy)P = 1) is infinite if p > 2, but that…

A: The solution which makes use of matrix theory is presented in detail below.

Q: Determinant of n x n Matrices. Solve for the determinant of the following matrices using (a)…

A: “Since you have asked multiple questions, we will solve the first question for you those asking. If…

Q: Suppose we know the number pi is irrational. Explain how we know that the number pi plus 2 is…

A: All of we know that Sum and Difference of two Rational number is also Rational. Here Supposing pi is…

Q: 1. Find the nine roots of -256 – j256/3 . 2. Find all the roots of f (z) = 226 + 81/3 – j81

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Q: Map the following SOP expression on a Karnaugh map: BC+ AB + ABC+ ABCD + ABCD + ABCD CD 00 АВ 01 11…

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Q: D is some triangular domain in the xy-plane with area equal to 9. S is the triangular area that is…

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Q: I Example 11.17. Find the solution of the initial boundary value problem : 'u u 0 sx S1: subject to…

A: Here we need to solve initial boundary value problem.

Q: x" - x' - 2x = sin3t

A: Consider the given differential equation, x''-x'-2x=sin3t make the auxiliary equation,…

Q: 25 Identify the conic (parabola, ellipse, or hyperbola) that the polar equation = represents. 6+5sin…

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Q: Q6/ Solve the following payoff matrix to find the best strategies and the value of the game: (Use…

A: the solution is given by using graphical method. In this method we draw the lines and then find the…

Q: For the following system: Use the Lyapunov function V(x) =r+r2+ to show that the system is stable.

A: The given system is: x˙1(t)=-x1+x2.............(i)x˙2(t)=-x2..................(ii) Given Lyapunov…

Q: Determinant of 2 x 2 Matrices. Solve for the determinant of the following matrices: -3 1. A = 4 6. 4…

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Q: Evaluate the following. SP S: z = 13 - 4x + 6y, 0 Sx S 5, 0sys5

A: We have to evaluate the given double integral.

Q: find

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Q: y"(t) – 6y'(t) – 2y(t) = 4 cos 2t – 4t³; y(0) = -2,y'(0) = 3

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Q: I Example 10.24. If = dy 2eły, y(0) = 2, find y(4) using Adams predictor corrector for- dx mula by…

A: here we need to use Adams predictor-corrector method and Euler's modified formula.

Q: Evaluate e dV where E is the region within the cylinder x? + y² = 2 bounded above by the paraboloid…

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Q: When z = f(x,y), which of the following is true for the whole statement? O ddz = f"(x).dx² and dx2…

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Q: Let n = pq where and q are two distinct primes and consider Z,. Further, let [a] E Z, be an…

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Q: 1) What is the greatest common factor of 9z and 6z? Choose 1 answer: A 3x 3x2 18 D. 182 54x2

A: Applying the definition of greatest common factor in solving the problem.

Q: # 4 Assume that the solid has constant density k. Find the moment of inertia about the z-axis of the…

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Q: Find the sum of the following in finite Series if it is Converges (lo0) (100)3 l00 %3D (100)" n-,…

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Q: Use function notation (with m and n) to write a composition representing the price of a ride to work…

A: Given L = n(T), from the given info we know for each increase in hour the ride time increases by 1…

Q: frunction Vercaty the u Cmiy) = verity the eelen's thertem Lore

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Q: Determine whether the series (-1)*-1 . converge, diverge absolutely or k³ +4 k-1 converge…

A: Convergence of the series

Q: 2x+10 (b) 22x+185

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Q: Let f be a function that admits continuous second partial derivatives such that VS(7, y) = (4r" –…

A: Given that, A function of continuous second derivatives , such that ∇fx,y=4x3-2a2x+2a2y,…

Q: Question 1 -1 if -2<x<-1 (a) Find the Fourier series of f(x)={ x if -1<x<1 , and f(x+4)= f(x) 1 if…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Q3: Find the first derivative at x =2 for the funct 1.0 1.5 Y. 0.4057 0.

A: We have to find the first derivative at x=2.

Q: Evaluate the integral 1 x3 dx. 1+ x2 0.

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Q: For a function f, the Divided Difference table is given by: Xo = 0 j = 0.4 S[]=? 50 X2 = 0.7…

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Q: When solving ordinary differential equations, the derivatives are approximated with O grid and…

A: In general, a finite difference approximate to the value of some derivative of a function at a point…

Q: Solve the following difference equation knowing that m=1 and m=2 are roots of the characteristic…

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Q: You are given the dollar value of a product in 2016 and the rate at which the value of the product…

A: Introduction: A linear function is defined as a function with one or two variables and no exponents…

Q: Use the Divergence Theorem to evaluate F.N dS and find the outward flux of F through the surface of…

A: The given vector field is F(x,y,z)=x2 i +y2 j +z2 k and S: x=0, x=a, y=0, y=a, z=0, z=a.  To…

Q: If 90 J of work are needed to stretch a spring from 8 cm to 13 cm and another 294 J are needed to…

A: Solution

Q: dy 2y+x B) %3D dx

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Q: Watch the video and then solve the problem given below. Click here to watch the video. Find an…

A: Solution

Q: 10. A sequence is given by the recursive definition bn = 4bn-1, bo = 3. %3D a) Find b1, b2,b3 b)…

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Q: Using False Position Method, get the roots of the following equations. Show your solution via excel.…

A: See Answer below

Q: 3. Prove that 0 divides an integer a if and only if a 0.(In your proof. you can freely ILNE your…

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Q: 2 3. f(x) = es* – x² – 1 (Xi-1= 8)(x; = 5) (х-1 3D 8)(%; — 5)

A: F12=EXP(2*E12/3)-E12^2-1 H12=EXP(2*G12/3)-G12^2-1 I12=G12-H12*(G12-E12)/(H12-F12) Error=ABS(J12)…

Q: A window has the shape ofa parabola above a Crcularare below. Find the area of the Window. 5.l63F…

A: The Given graph has been redrawn and a couple of points labelled for convenience as follows:

Q: Q4/Solve the following Assignment problem using the Hungarian method 1 2 JI 8 3 J2 5 1 J3 6 0 J4 8 3…

A: Step 1. Determine pi , the minimum cost element of row i in the original cost matrix, and subtract…

Q: Let P2 be the vector space of all polynomials of degree 2 or less, and let H be the subspace spanned…

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Q: Carbon dating presumes that, as long as a plant or animal is alive, the proportion of its carbon…

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: DLim (sec 2x).

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Q: x1 x2 x3 x4 x5 x6 (Note that this is a graph of f', not a graph of f.) At which of the marked values…

A: Solution