Show your solution: Given: y'' + 3xy' + 7y = 0 Question:Which of the following is the expression for a2k+1 in terms of a1?

Q: . Approximate 26.6 using a Taylor polynomial with n = 2. Round your answer to six decimal places.

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

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Q: Use the method of variation of parameters to determine the general solution of the given…

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Q: How many functions with domain [0, 1] have the property that they attain their supremum? O…

A: Every continous function attains its maximum. there are infinite many continuos function which…

Q: Determine whether the series ខណៈ 4-1 5" n=0 D. Select the correct choice below and, if necessary,…

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

Q: Each of the ODEs shown below is second order in y, with y₁ as a solution. Reduce the ODE from being…

A: We are given second order differential equation using the method of reduction of order we need to…

Q: 8. Use the integral test to determine if IM8 k² (k³ + 2)3/2 converges.

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Q: XP √ ₁ (1+²√2hr, (-1<p<3). dx, (1+x²)²` 0

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Q: A partition of a set has four subsets: M, A, T, and H.  If P[M] = 0.143, P[A] = 0.378, P[T] = 0.278,…

A: We want to find P[H].

Q: Σ__(x+1)" 2 3"√√n²+1 Radius of convergence is 3, Interval of convergence is − 4 ≤ x<2

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Q: 7 Solve the differential equal (c) f"(t)-f(t) = u(t) sin 3t-(t-4) sin 3(t - 4) where f'(0) = f(0) =…

A: Some of the properties of Laplace transformation…

Q: A. n(n − 1)an +(3n+1)an−2 = 0

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Q: axay dy). 7. Verify Stoke's theorem for the vector field given by F = y²î+x²ĵ- (x+z)k around the…

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Q: 5. Use mathematical induction to show that for any integer n ≥ 0,7" - 1 is divisible by 6.

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Q: Expand f(z) = in a Laurent series valid for the indicated annular domain. (Give all terms a(z-Zo)…

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Q: 2. Let function f [0, 1] → R defined by f(x) = integrable on [0, 1]. Evaluate f f(x) dr. 659 0, if a…

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Q: . Obtain a solution to the following differential equation valid near the origin: y" + 3xy' + 7y = 0

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Q: 1 (Z-1)(z-2) Expand f(z) = |z|>2 f(z) = ...+ in a Laurent series valid for the indicated annular…

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Q: A function f(t) is defined by f(t) = 4 0<t <3 = 2t + 1 3 ≤t. Sketch the graph of the function and…

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Q: Use the nth-term test for divergence to show that the series is divergent, or state that the test is…

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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: Use a graphing calculator or a computer program for the simplex method to solve this linear…

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Q: Uxx-Ut = 0, U(0, t) = U(L, t) = 0

A: Given heat equation is Uxx-Ut=0, U0,t=UL,t=0. We have to write the solution of the given heat…

Q: 4. Diagonalize the matrix, if possible. That is, find an invertible matrix P and a diagonal matrix D…

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Q: In an experiment on standing waves, a string 65 cm long is attached to the prong of an electrically…

A: Given that Length of string = L = 65 cm = 0.65 m Frequency = f = 60 Hz Mass of string = m = 0.086 kg…

Q: f(xn) f(xn-1) xna, prove that lim |C| = 1. n→∞ 5. Consider Cn = ƒ'(ïn-1). Under the assumption that…

A: The given sequence Cnn=1∞ is defined as ; Cn = fxn f'xn-1fxn-1 f'xn  and  f'(α) ≠ 0  and xn → α…

Q: Find the equation of the plane that contains the point (2, 1, 6) and is perpendicular to the two…

A: We need to determine the equation of the plane that contains the point: 2, 1, 6 and is perpendicular…

Q: Cumulative cases 70,000 -5 60,000 50,000 40,000 30,000 20,000 10,000 Chart 23: Model of Cumulative…

A: We have to identify the curve which represents an exponential function in the following graph, also,…

Q: 3 "(x) = -x + x ²₁² = 1 √ ₁ ( x −t)³u(t)dt, u (0) = 0,u'(0) = 1.

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Q: The sets E and I are given below. E = {b, g, h} I = {a,e,f} Find the intersection of E and I. Find…

A: A set of the elements are of two form  Roaster form  Set-Builder form Roaster form: The content of…

Q: A function f(t) is defined by 0<t<2 f(t) = 0 =t+1 = 0 2 < t <3 3 ≤t. Determine L{f(t)}.

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Q: Find the Fourier series up to second harmonic from the following data X Y 0 0 T - 6 T - 3 2 T 2T ST…

A: Here consider θ=2πxT Here the last value is the mere repetition of the first .Therefore we omit that…

Q: 1. Find the general solution of: dx dy _y+xy²+x² x+x²y+y³

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Q: - Prove that for every positive integer 11, 1.2.3+2.3.4+... +n(n+1) (n + 2) = n(n+1)(n+ 2)(n+3)/4.

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Q: Find the solution of the given initial value problem: y" + y' = sec(t), y(0) = 6, y′(0) = 7, y″(0) =…

A: The general solution to anxyn+...+a1xy'+a0xy=gx can be written asy=yh+ypyh is the solution to the…

Q: Free fall on Mars and Jupiter The equations for free fall at the surfaces of Mars and Jupiter (s in…

A: The equations for free fall at the surfaces of Mars and Jupiter ( s in meters, t in seconds) are s =…

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: During each cycle, the velocity v (in meters per second) of a robotic welding device is given by 2 v…

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Q: Particle motion At time t, the position of a body moving along the s-axis is s = t3 - 6t2 +9t m. (a)…

A: Given that at time t, the position of a body moving along the x-axis is s(t) = t3 −6t2 +9t  m Let…

Q: Please select MCQ

A: Solution:- In 1st question answer is zero. i.e.  option c is correct.

Q: A tank contains 1,158 L of brine with 15kg of dissolved salt. Pure water enters the tank at a rate…

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Q: Let x be the set of all positive integers and d(min) = | = - = | show that (x,d) is not complete

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Q: The graph shows the amount of profit, in millions of dollars, for a large company in Seattle. The…

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Q: Use the ALEKS calculator to evaluate each expression. Round your answers to the nearest thousandth.…

A: We need to find the value of given expression  250e^(-0.85)=? After using calculator  250e^(-0.85)=…

Q: 2. Find the following cardinalities (Do not list the elements of the sets). (Notation: A² = A x A,…

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Q: DO An interior designer is redecorating a room that is 19 feet long by 15 feet wide by 11 feet high.…

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Q: The following refer to the following data set: 92.2 119.4 119.4 72.8 88.2 119.4 88.9 99.6 109.4 96…

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

Q: 1. a) Use appropriate math terminology, from the unit, to describe the transformations that would…

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Q: Question: Solve the following initial value problem by using (i) Taylor series method (ii) improved…

A: We will solve it by Taylor's series method in this answer

Q: You may use a calculator to perform basic calculations on these problems: (just label when using…

A: Given,       x'=-103020-30-1x