Solve the higher order initial-value problem f''(x) = x-1/x + 3 ; f'(1) = 3, f(1) = 0

Q: If f(x) = 8x + 2 x² + 7 find f'(x).

A: In this question, we will find the derivative of the function.

Q: Find f f ''(x) = 8 + 6x + 36x2, f(0) = 2, f (1) = 13

A: *to find:- f(x).

Q: Find h(x) if h'(x): h(x) = = 9x (3-x²)² and h(1) = -3.

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Q: Solve using indeterminate coefficients y '' + 9y = x ^ (2) e ^ (3x) + 6

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Q: 1. h(x) = 5f(x) – 4g(x) Answer. h'(-2) =

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: Solve using the method of undetermined coefficients y'''+8y= 2x - 5 + 8e^-2x ; y(0) =-5 , y'(0)=3 ,…

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Q: Find f(x). -12x-3 f(x) = 3x - 12x 413 f''(x) =

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Q: If f (x) 2e²x Then compute f" (0) + 2f' (0) + 2ƒ (0)

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Q: If f(x) = (2-3x)^(-1/2)  , find f(0), f' (0), f" (0) and f''' (0).

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

Q: If h(x)=2-4/3x given the equation for h-1(x)

A: The definition of h-1(x) is h-1(x)=1/h(x)

Q: 5. Given: f (x) = ax³ – 9x² + 2x – 4 and g(x) = bx³ – 5x² + 62x + 70 | Solve for all values of a and…

A: We have to find

Q: f(x) = (x³ + 2x + 7)4 f' (æ) = f' (5) =

A: Consider the given function: fx=x3+2x+74 Differentiate the function using chain rule which is given…

Q: Find the function f(x) if f''(x)=12x-6, f'(2)=4, and f(2)=-4

A: The second derivative of the function is given by f"(x_=12x-6, f'(2)=4 and f(2)=-4.

Q: 25. Find an equation of the form f(x) = a · b* such that f(0)=64 and f(2)=4. Show your work.

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Q: Find f if f ' (x) = e x  + 20 ( 1 + x 2  ) -1  and f (0) = -2

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Q: Given f''(x) = 6x + 5 and f'(0) = 6 and f(0) Find f'(x) and find f(3) = = = - 6.

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Q: h(x)=px^(3)+4px+(q)/(x), where p and q are constants. Given that h(-1)=-41 and h'(-1)=67, find the…

A: The objective of the question is to find the values of the constants p and q in the function h(x) =…

Q: Given f''(x) = 4x + 3 and f'(- 2) %3D -4 and f( — 2) Е — 2.

A: Given,          f''x=4x+3  and  f'-2=-4  and  f-2=-2.

Q: Answer: f" (x)= 2x (x² In² (2)-2x In (2)+2) X³

A: f''(x) =[2x(x2ln2(2)-2xln(2)+2]/x3 Find the value of the function at x=2.

Q: Suppose f(3) = 2, f'(3) = f'(x) > 0 and f"(x) < 0 for all x. (a) When is f(x) increasing?

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Q: The first derivative of f(x) = (5x* – 6x)/3 will be 20 A. Gx* - 2) (5x* – 6x)i B. (20x³ – 6)(5x* –…

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Q: If f(x) = (3x -5)e-2x , find f'' (x)+ 4f' (x) + 4f(x)

A: To determine the given value with derivatives and function