2 (1 – 3x)² C1 C2 C3 = C4 Find the radius of convergence R = Represent the function CO || ∞ as a power series f(x) = Σo n=0 Cnxn

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A: Given,           y''-10y'+9y=e-9t; y(0)=1, y'(0)=1

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A: Solution:-  Options (e) is correct

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A: The height of the Ferris wheel is given by the below function. ht=50sin2πt10+60

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Q: Ex. (8) Sol Solve [D²-6D+9] y = 54x+18 k

A: Given differential equation is (D2-6D+9)y = 54x+18

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Q: 1 S p 2 9 real and pos ng relations

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A: Given: Properties of the function, To find: Label all the intercept points, relative extremum…

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Q: Suppose that a function f(x) satisfies the following properties, together with the table of signs…

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A: Given the region enclosed by the curves x=cosecy, y=17π4, y=19π4, x=0 is revolved about the y-axis.

Q: [-/1 Points] WANEFM7 2.3.006.MI. 0/7 Submissions Used DETAILS Find the amount accumulated FV in the…

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Q: * Evaluate. [[6x [6x² arcsin (x)]dx

A: We use integral by parts to solve the given problem.

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Q: Write f(z) = Im(z 32) + zRe(z²) - 5z in the form f(z) = u(x, y) + iv(x, y).

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Q: Problem 3 Given: Arg (Ln(z)) = 3 (radians) and |z| = 70. Find S Im(z) + Re(z) = Problem 4

A: Since ,we know that, Ln(z) = ln|z| + iArg(z+2n)Let us use the principal part of logarithm, i.e,…

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Q: Find the inverse laplace of F (s) = 8² (8²+a²) (8² +6²) consider a² ‡b², ab ‡0 b sin at-a sin bt…

A: Given that: Fs=s2s2+a2s2+b2 where a2≠b2 and ab≠0To find: inverse laplace of Fs.

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Q: Find the exact length of the curve. y = √x - x² + sin 1-² (√x) Read It Need Help? Need Help?

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Q: Determine if the system 15x₁ 3x2 5x3 -3 -2x1 14x2 9x3 = 10 -2x1 3x2 6x3 = -12 is diagonally…

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Q: (-1 5-2) Consider the matrix A = 2 -5 5 2 a) Obtain the eigenvectors (V₁, V2, V3) of A. b) Write a…

A: Solve |A-λI|=0 for eigen values and [A-λI]v=0, where v is eigen vector.

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Q: (1, Find a vector orthogonal to both (3, 2, 0) and to (0, 2, -1) of the form

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Q: (c) Use Euler's Theorem and part (b) with a suitable value of p to find the remainder of 5103 when…

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Q: el3x-6-2, Given: f(x)=[2x - 5], x² - 9, if x ≤ 2 if 2 3

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Q: Exercise 15.2.22. * Show that it is impossible to complete the following Cayley tables to make a…

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Q: (c) Use Euler's Theorem and part (b) with a suitable value of p to find the remainder of 5103 when…

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Q: Approximate the following integrals using the following methods. b. [[(x²y + xy²)dydx a. Composite…

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Q: Res (z(z+1)) a) 0 b) 1 c) -1 d) 2 e) i z=00 ||

A: We have to evaluate Res1−zzz+1at ∞. Here, fz=1−zzz+1 Here, poles of fz is z=0 and z=-1. Now,…

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A: