The Fourier integral of the function f(x) = } 0, x<- and is given by f(x)~ S (A(a) cos(ax) + B(a)sin (ax)) da

Q: Find f. f ''(?) = sin(?) + cos(?),    f(0) = 4,    f '(0) = 2

A: f''(x)= sin(x) + cos(x) , f(0)=4 ,f'(0) = 2

Q: Option 2: Problem Solving You wish to invest P10,000 for a period of 5 years. Which of the following…

A: The principal amount we have is ₱10000 and the time period is 5 years.  Therefore,  P=₱10000 t=5

Q: Let f(x) = 3 cos a - 2 tan a f'(x) = r() - C f'

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Q: Let f(x)=6x/sin x + cos x f'(−π)=

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Q: Determine f'(x) for: Ax) = sin (5x - 2)

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Q: Let .f(x) = - 4 cos? x f'(x) =

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Q: Let f(r) = cos(4r + 4). f'(x) =-4 sin(4r -4) f'(2) = | 0

A: Solve the given problem.

Q: Let f(z) = 4 cos I-3 tan z. %3D S(2) =D %3D

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Q: 1. Use trigonometric substitution to evaluate each of the following. (») /: dx x² + 4x + 3 (b) dx (4…

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Q: Let f(x) f'(-) = 8x sin(x) + cos(x) Evaluate f'(x) at x = -T.

A: INTRODUCTION Differentiation is a fundamental concept that involves finding the rate of change of a…

Q: . Find L(t cos at } .

A: We will be using the known formulas to arrive at the final answer.

Q: sin(x') In(5x + 7x- 3) 6) Find the derivative of: y =

A: Formula 1: Let f(x) and g(x) be two functions, then f(x)g(x)=g(x)f'(x)-f(x)g'(x)(g(x))2 The given…

Q: x' sin (tanx*) -1 Integrate 1+x

A: Introduction :

Q: Let f(z) = (9 sin z + 2 cosz)tan¹z

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Q: Determine the concavity of the function f(x) = cos x^2 + sin x^2 + x^2 between x = -1.5 and x = -2.5

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Q: Let f(x) = (8 sin z + 2 cos z)tan f'(z) -

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Q: Use forward-difference formula to evaluate the first derivative of y = cos(x) at x = cos(x) at x =…

A: Given function is y=cosx. We have to evaluate the first derivative of y=cosx at x=π4 using a value…

Q: integrate (sin(x)*tan(x)-cos(x))/tan (x+1)

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Q: Write the differential equation and then determine whether you have overdamped,critically damped,or…

A: Introduction: The differential equation of motion of an unforced damped harmonic oscillation is…

Q: et f(x)=-11sin x+3 cos x f' (x)=?

A: f(x)=-11sin x+3 cos x this is given  we have to differentiate the function  dsinx/dx = cosx…

Q: Find f f(0) = 2, f '(0) = 1 f "(0) sin 0 + cos 0, f(0)

A: Given that

Q: Let f(x) = 8 sin r + 3 cos r f'(x)- f(똥) =|

A: The given function is f(x)=8sinx+3cosxTo find f'(x) and f'5π6

Q: Cos 56 CUST J sin'sB-sinsB dB

A: Consider the provided integral, ∫cos5βsin25β-sin5βdβ Find the expression for the provided integral.…

Q: Let f(x) = 6 sin ¹(x²). Then f'(x) equals 12x √1-x² 1 1- x4 6 /1-x² 12x cos−¹(x²) 12x √1 x4

A: The objective is to find the derivative of f(x).

Q: Find f. f "(0) = sin 0 + cos 0, f(0) = 1, f'(0) = 3

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Q: (8) If fCx) = 3x*- +4X +1, Sind

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Q: Find f. f "(x) = 9 + cos x, f(0) = -1, f(7t/2) = 0 f(x) =

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Q: The derivative of f(t) = sin(a* + 2 a+ 22 - a) is O f(a) = (4 a+6 a² + 4 * – 1) cos(a*+2 a³ + 2 #² –…

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