Show your solution. Given the differential equation: x(x+3)y'' - 9y' - 6y = 0 Question: Which of the following is the expression for y1?

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Q: 3. Consider the integral a r²dr. (a) Find a general formula for the Riemann sum R₁- ¹2²dx = 1 (b)…

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A: Given series is ∑k=1∞1 + 11kk2

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Q: Determine a system response behavior behavior is governed by: mä1 + 3cx₁2cx2 + 3kx1 2m2 2cx1…

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Q: 4) Find the Σ Σ _n=1 SUM of the following series (a₁ +n) (a₁ +n+1)(a+n+2) (af-n, nEN)

A: To Find: The sum of the series ∑n=1∞1(a+n)(a+n+1)(a+n+2), (a≠-n, n∈ℕ)

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A: Given: A map of a city built on the banks of a river and some islands in the river. The map below…

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Q: The following is a LPP: Max Z=10X1 + 9X2 + 12X3 X1 + X2 + X3 <= 10 2X1 + X2 + X3 <= 12 X1 + X2 + 2X3…

A: By Simplex Method we have  Max Z=10x1+9x2+12x3+0S1+0S2+0S3Subject…

Q: ) Obtain the Taylor's series to represent the function |z| < 2. z²-1 (z+2)(Z+3) in the region

A: Given function as z2-1z+2z+3

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Q: f(x, y) 500 4+x² + y²

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Q: Find the F.T. of the fall wing Signals (functions): F(t)=1+cos(6πt +)

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Q: Show that the set of all rational numbers is not complete

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Q: Prove if it is a group or not. 1. G = {x € R | 0 < x < 1},x * y = xy 1-x-y+2xy

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Q: x= x² + 3y - 3x + xy and y = xy + x.

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Q: Find the solution of the given initial value problem: y(4) + 2y" +y = 3t+ 4; y(0) = y'(0) = 0, y″(0)…

A: This is a question of IVP

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Q: 6. Given: y + 1+i 1-i 14 2+i ; find xy.

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Q: 8. Solve: dx dt =x-4; dy dt = = 4y+t²; t = 0; x = 1; y = −3

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Q: f(x,y)= sin(x² + y²) + √√√9 - x² - y²

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Q: 17. Evaluate lim x-0 1+x-ex 4x² using Taylor series. You can use that e 8 -Σ² k! k=0

A: I have given the answer in the next step. Hope you understand that

Q: let -heoram a, ber about a) Find such that acb. Use the axioms and that : prove R to b) Find CEIN:…

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Q: QUESTION I 1.1 Thembi flies out from O.R. Tambo International Airport and needs to park her car at…

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Q: Show your solution: Given: y'' + 3xy' + 7y = 0 Question: Which of the following is the expression…

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Q: A bungee jumper leaps from a bridge. Velocity is determined by the given differential equation. dv…

A: Consider the given differential equation, dvdt=g-cDmv2 Since, we have given that g=9.81, cD=0.25,…

Q: Given the general vector A=(sin20) a_ find the curl of A at (2,π/4,0) O-0.5a_z 0.5 a_ - a_p 2a_z

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Q: 1 F(w)Fi [f(t)]¸ = Fi [3sgn(3t) − 1 + ]. - jt Ft Applying the linearity of F.T we get : F(w) = 3Fi…

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Q: n! 1.3.5•••(2n-1) -} +∞ n=1

A: The question is solved by monotone convergence theorem. The sequence is decreasing and bounded below…

Q: 7) You have a balance of $10,000 for your tuition on your credit card and you make no further…

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