Suppose that y varies inversely as the 4th power of x, and that y=8y=8 when x=4x=4. What is y when x=8x=8? Round your answer to two decimal places if necessary.

Q: ! Consider the nonhomogeneous differential equation: y" - 2y + y ==... (E). Using variation of…

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Q: Find the transform in Z of the following exercise:

A: Given,          z2-7z(z-1)2(z-3)

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A: Given that y=xlnx-3x, y=1 bounded by x=3, x=6.

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Q: 28 Use the Integral Test to determine if the series shown below converges or diverges. Be sure to…

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Q: Find the general solution in terms of real functions. From the roots of the characteristic equation,…

A: Below given clear explanation

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Q: 8/14 Let 1 < p < 0. For t = [0, 1], let xi(t) = 1, -{ 1, if 0 ≤t≤ 1/2 -1, if 1/2 <t≤1 and for n =…

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Q: From this graph, Find the volume around the X-axis (Use π = 3.14). y = x (0, 0) (1, 1) y=x² R

A: Please find attachment

Q: Question 2 Given the function of two variables f(x, y) = -5x² - 2xy-8y²-8. a) [ Use Lagrange…

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Q: Find the sloution of the given DE dy y-x dx y + x = Yexact - y(0) = 1, h = 0.1 at x = 0.5 ? (find…

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Q: Determine a suitable form for Y(t) if the method of undetermined coefficients is to be used. y"-81y'…

A: Sol:- y'''-81y'=te-9t+10cos9tFirst , find the yh:-yh is the solution to the homogeneous ODE…

Q: 8. Find the first 4 non-zero terms of the MacLaurin series for the func- tion: f(x) = √(1-x)².

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Q: Find the general solution in terms of real functions. From the roots of the characteristic equation,…

A: Given below clear answer

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Q: 3. Determine the Fourier transform of the following: f(t) = {el³6 0, -1 < t < 1 elsewhere

A: Fourier transform of f(t) F(f(t))=∫-∞∞f(t).ejstdt given function f(t)=ej3t-1&lt;t&lt;10elsewhere

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Q: Use the Comparison Test to determine whether the series converges. ∞ 1 Σ k=1 7k-³√/k Choose the…

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Q: □ Use the definition of integral to prove that for = f'/h 1/x if X FO (x) is NOT if x=0 Riemann…

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Q: Prove the following statement using induction. Every claim that you make must have a reason. Στα For…

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Q: (3) Suppose that xo ≥ 2 and x₂ = 2 + √xn-1-2 for ne N. Use the Monotone Convergence Theorem to show…

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Q: 8. Find the first 4 non-zero terms of the MacLaurin series for the func- tion: f(x)=√(1-x)².

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Q: The tangent plane to the surface with equation at the point where (x, y) = (1,0) has the equation z…

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A: Given the differential equation                       xy''+y'+y=0,    2x=z

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Q: b 13 18 5 [ f(x)da - [² f(x)dx + ["F = [²”, f(x)dx + [¹² f(x)dx − [°¸ ƒ(a)da, 2 13 2 what are the…

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Q: Find the Fourier series expansion of the following periodic function: f(t) = {_3 -2<t<0 0<t <2

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Q: 1Q: Using Newton's Method solve the following system of equations by taking the initial guess as x =…

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Q: The general solution of the second-order differential equation y"-y-12y = 0 is: y = c₁e³x + c₂e-4x…

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Q: Suppose xo = 2√3, yo = 3, 4 Note: If (x) is monotonically decreasing (resp. montonically increasing)…

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Q: 3 * (dx)/(dt) + (dy)/(dt) + 2x = 1, (dx)/(dt) + 4 * (dy)/(dt) + 3y = 0  Given x = 3 y = 0 when t =…

A: As per the question we are given the following system of differential equations : 3x'(t) + y'(t) +…

Q: (2) Let DCR and (x,) be a sequence in R. Show that xnx such that x € D if and only if D is closed.

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Q: Find y as a function of a if y(0) = 12, y(0) = 21, y"(0) = 18. y(x) = y" 16y" +63y = 144e²,

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Q: A cable company offers its 1000 customers two special services: high-speed internet and digital…

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Q: Consider the matrix A Calculate A¹00 if = (-5,-4,5). 1 6 2 -1 0

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Q: 23- y" - 2y + y = 0; y₁(t) = et, y₂(t) = tet

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Q: 3. (Complex Numbers: Quadratic Equations; Scientific Calculators). Solve the quadratic equation 2² +…

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Q: The function g(x, y) = x+y+4ry has at least two critical points Select one: O True O False The…

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