Solve the following system of recursions x(t) = b a sin (a) 8 α (enter a expression involving t) y(t) = b a sin (a) ∞ α xt+1 xt x0 with = = Yt+1 У0 Yt E E 45

Q: Find a result by using undetermined coefficients for ý + y = x² + x+sin(2x)

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Q: 2. (8x+²)(8x-6) = 16 then x= 8 A. -8 B. О А ооо B О с co I m 3 с. ; D.3

A: The given expression is 8x+28x-6=16. Find the value of x. As we know exponent multiplies:…

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Q: Solve the following ODE using variation of parameters i) y(3) + 4y" + 5y' + 2y = ex

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A: Cos(-x)= cos(x)

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Q: Solve for Rf   E(Ri) = Rf + [E(RM) – Rf] × bi             .1020 = Rf + (.1080 – Rf)(.91)

A: Given : E(Ri) = Rf + [E(RM) – Rf] × bi              .1020 = Rf + (.1080 – Rf)(.91)

Q: If f(x)=x° + 3x° + 7x², which of the following statements are true? O x=0 is a root of f(x) 2 times…

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Q: L' (s²+4)(s²+9) 3 f cos(2a) sin[3(t – æ)]dx O b) cos(2t) sin(3t) c) None of these 1 * Só cos (2a)…

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Q: Evaluate faJ4(a)da Hint: You may use - (a-PJ, (x)) = -a"Jp+1(x), da O -x- J3 (x) + 2x 2 J2 (a) + c O…

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Q: Solve 2 secx- 5 secx+ 2 = 0 on the interval x e [0, 2x] %3D

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Q: Which of the following equations does not hold for all values of x and y? cos(r + y) = cos(x) cos(y)…

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Q: If x=√√ 1-t and y=-3t+1³, what is y'? (Α B (C) D -6 (t-1) (t+1) √√1-t 6(1²-1) √√1-1 -3 (1²-1) √√1-1…

A: x=1-ty=-3t+t3y'=dydx=dydtdxdtdtndt=ntn-1

Q: If csc e = 1/3t, then where defined, cos 0 A) Square root of (1 – 9t²) 3t/squareroot of (1 – 9t2)…

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Q: Let A = ° -2 [23] eAt = e2t T eAt = e³t eAt = e³t e³¹ = cos(3t) [- sin(3t) cos(2t) sin(2t) [ e37 .…

A: A square matrix A is given. The objective is to find the value of eAt. If A=a-bba, then eAt=eatcos…

Q: What are the solutions of the equation 2sin(4x)=1 on the interval [0,n)?

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Q: Let y = sin(2nx) + b cos x, where b: constant and n: even integer. TU 2 Evaluate y" when x = (a)…

A: Here is the solution:

Q: 2s+3 F(s) = ;L-1{F(s)} =? %3D (s+2)²+9 Select the correctresponse: O f(t) = e-2t (2 cos 3t –sin 3t)…

A: Inverse Laplace Transform: Let    be the Laplace transform of that is then is called the Inverse…

Q: Evaluate L{e-2t sinh 3t} s - 2 s2 + 4s – 5 3 2 a) s² + 4s – 5 b) c) s2 + 4s – 5 d) s2 + 4s – 5 a 3.

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Q: Given Ā =, B =,č = (a) Compute Ā· (B + T) (b) Compute A · (B × C)

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Q: Find the solution for L{e-3t(cos(5t) – sin(5t)}. Find the solution for L-1{E + 10}.

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Q: Find (21) (22) if √2 √2 (cos+ i sin 21 = 3 3 (cos+isin Simplify as much as possible. 1 = 21 ㅠ 12 O…

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Q: a) f(4x)dx x)cx

A: ∫02f4xdx Now, solve the above integral, ∫02f4xdx=∫01f4xdx+∫12f4xdx=f4·1-f4·0+f4·2-f4·1=f8-f0=1-0=1…

Q: Justify whether the equation 2xn=sinx+1 has a solution in (0,1) for every positive integer n.  If…

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Q: 3) Suppose I want to use a "u" substitution to find sec² (9x + 4)dx. What should I choose for u? O…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Write the following in the form of: r(x) if s(x)+0 P(x) = q(x)+- S(x) s(x) x'+3x +5 (a) x' +2x' +x -…

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Q: Find the root (3 – 3i)2 - + V18[cos(r/8) + isin(x/8)] O +V18[cos(x/8) – isin(t/8)] +3 V2[cos(1/4) –…

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Q: Find 7s + 15 -7 s2 + 2 15 cos (v2t) + 7 sin(v2t) V2 7 cos(V3t) + 15 sin(3t) V2 7 cos (v2t) – sin(vZ…

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Q: Q2) n(x) = x-1 , k(x) = (x – 1)/2, mx) = (x + 8)¯1 (x + 8)-1 Find a formula for ( m onok).

A: See answer below.

Q: Which of the following is true? A Jsin(3x)cos(4x)dx= [ Sin(7x) – sin(x) Jcos(3x)cos(4x)dx= [cos(x) +…

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