Find the largest interval of existence and uniqueness of solution for the IVP 1 x'+ (sec t)x t-1 * No need to solve the ODE. = TU when x( ) = 1 4

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A: Hello, I don't understand what is the associated function you are asking. There are many associated…

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A: I am attaching image so that you understand each and every step.

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Q: b. If x = t- 3, find L[(xe

A: Consider the given information. Lxe-x Put the value in the function. Lxe-x=Lt-3e-t+3=Lte-te3-3e-te3

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Q: If f(2) = 5 and f'(x) ≥ 2 for 2 ≤ x ≤ 6, how small can f(6) possibly be? f(6) ► 20 X

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Q: Find the intervals on which the function is increasing or decreasing where f'(x) = 4x³ – 4x.

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Q: Find ao of the function f(x) = (T -x)2 n^ 2/6 5π. 2/12 I ^ 2/12 Ο 5πλ2/6

A: Fourier coefficient ao

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Q: Find ao of the function f(x) =÷(n - x)2 | О п^2/12 5 T^2/6 5 T^2/12 O T^2/6

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Q: Determine the particular solution of the ODE y” + lnx = -1 a. (-0.5 * lnx) + 0.25x b. (0.5x^2 * lnx)…

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Q: Iff and g are functions that satisfy f(2) = 5 and g'(2) = -3, find h'(2) for h(x) = -4f(x) + 5g(x) -…

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Q: find d/dx f^-1 (4) where f(x)=4+2x^3+sin((pi*x)/2) for -1

A: We have,.We have to find .

Q: List all intervals for which there are possible unique solutions (t-5)x''-ln(t)y'-y=et

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Q: F(x)=-4cosx-9tanx , f’(4pi/3)= ___

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Q: Let f(x) f'(1) = = 4x²-3x+6 4x²+2x+8 Evaluate f'(x) at x = 1.

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