solve the initial value problem   y' + y = e^(8t), y(0) = -1

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A: Solution :-

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Q: Problem #5: Problem #5: Evaluate the surface integral f with outward orientation. F. ds where F(x,…

A: The given problem is to evaluate the given surface integral of the given vector field over the…

Q: 8) Determine £{f(t)). The positive curves of the following graph represent sin t. f(t) * t π 2π 3π V…

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A: Here we will find number of loops /petal formed by the curve then symmetry about pole , polar axis…

Q: Problem #1: Problem #1: Use Stokes' Theorem to evaluate F F dr where F = (x + 7z)i + (3x+y)j +…

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Q: η Σ() = 2 – n+2 2n

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Q: Problem 4. Consider the inner product space C[-1, 1] with the inner product defined by (f,g) =…

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Q: is that The necessary and sufficient condition that a curve is a plane curv N T T

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Q: Find the volume of the solid bounded by the paraboloids = −9+ 3x² + 3y² and z = 52x²2 - 2y²

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Q: 1. y" +8y'-9y=e-³x sin2x

A: Note:-“Since you have posted multiple questions, we will provide the solution only to the first…

Q: 9. 12. t t

A: Part 9 The time is given on the x-axis and distance is given on the y-axis. The curve is continuous…

Q: is that The necessary and sufficient condition that a curve is a plane curv T 00 T 000 T = 0

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A: We can find the equation of the given graph.

Q: Consider A function f(x)= x³ - 7x² + 4x + 12. Construct two different fixed point functions g(x)…

A: Note:  As per your requirement, I answered here only part (a).   Consider a function  f(x) =…

Q: Problem. Find a solution y(t) for the initial value problem such that L{y}(s) *→∞ 0. 2y" +ty' - 2y =…

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A: Given series a∑n=2∞-1n+1nlnnb∑n=1∞-1n+1n13lnn2

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A: (a) Consider the Relation          V = {(1, 1), (2, 2), (3, 3), (4, 4), (1, 2), (2, 1), (2, 3), (3,…

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A: fx=1+x2 over the interval 0,2 The interval is divided in to n sub interval

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A: As per the question we are given a second order linear homogeneous differential equation as: y'' +…

Q: = u(x) = x cosh x -√² - tu(t)dt

A: As per the question we are given a Volterra integral equation and we have to find its solution u(x)…

Q: 2. Explain how to find the measure(s) of Angle A in Sin A = 0.68, Cos A = -0.24 and Tan A = -3.56,…

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A: P=e-0.0491x where P is the percentage of visible light and x is the depth.

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Q: Theorem 1.5. The principal normals at consecutive points of a curve do not intersect unless t = 0)

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Q: (c) Let f(x, y, z): = x 3x²y + Without doing any antiderivatives or integrals, compute ScVf ds where…

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Q: f(x)=sinh(x)= n 2n+1 (2n+1)! =x+ + f +³ + +. 3! 5! 7!

A: We have to write the series for  f(x)=sinh(x)

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Q: 3. S=₁ 3 2 n=0n +9 = 3 3 + 9 10 13 18 25 34 339 + + 3 3 3 + +-+... (a) Use the integral test to show…

A: Note : we can solve only first part as your all parts not small . Please repost remaining one.

Q: 1, for each of the following functions, indicate the asymptotes (with equations, like x=5 or y = 3)…

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Q: 1. f(z) = z³ − 1 + 3i Z 2z + 3 3. f(z) = 5. f(z) = = sin z (z² − 25) (z² + 9) 7. f(z) = tan z

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Q: Compute T₂(x) at x = 0.5 for y = e and use a calculator to compute the error lez - T₂(x)| at x =…

A: Taylor series for y = ex is      y = ex ≈ 1 + x + x2/2! + . . . .    So, T2(x) = 1 + x + x2/2 Then,…

Q: Parametric equation x=t^2 + 1, y=t-2. A. Eliminate the paramater and graph the parametric function…

A: Let us take firstly,  x=t2+1 and y=t-2then solve y for value of t,we get⇒t=y+2now,put this value in…

Q: Reduce each of the following to the smallest non-negative residual. (a) 87122 mod 23 (b) -7823 mod…

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