sin 10x , sin 20x , sin 30x

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Q: 6. e* cos 9x , e9× sin x Ans. = (-4 sin (8x) + 4 sin (10x) + 5 cos (8æ) – 4 cos (10)) e10z.

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Q: 22. The period of the function f(x) = 105 sin(210x + 420) is %3D A. 105 В. 210 C. 420 O D. 105

A: Given: A function fx=105 sin210x+420 In the given function fx=105 sin210x+420, the coefficient of x…

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Q: 1. Linearize each function about the indicated xo and express your answer in the form y a yo + m (x…

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Q: Tell whether the following functions are linearly independent or linearly dependent, and prove your…

A: Linearly Independent: Set consisting of vectors x1 ,x2 , x3.......xn is said to be L.I. if…

Q: Evaluate F. dr where F = (4z, – 2y, - x), and C is given by 7(t) = (t, sin(t), cos(t)), 0 < t < T

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Q: Which of the following pair of functions is linearly independent? (a) e, e(*-3) (b) 4, sin2x+ cos2x…

A: Which of the following pair of functions is linearly independent?

Q: Find the functions (a) f o g, (b) g o f, (c) f o f, and  (d) g o g and their domains. f(x)=x/(1+x)…

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Q: Determine the function f satisfying the given conditions.f ' (x) = cos(x)f (5π/6) = 8.5f (x) = A…

A: The given conditions are

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Q: (a) Write |x| = Vr? and use the Chain Rule to show that dx |x| (b) If f(x) = | sin x|, find f'(x)…

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Q: 2х e*, e2x, e3x А. . О В. 2е бх С. 12е бх D. 48eбx ,6x

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Q: Evaluate the given function ſ sec5xtanxdx a. sec*x + C b. sin*x + C c. cosx + C d. 금esc5x + C

A: topic - indefinite integral

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Q: Determine which of the following pairs of functions are linearly independent. NO_ANSWER 1. f(0) =…

A: The linear dependency of functions can be evaluated using the value of the Wronskian of those…

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Q: Find f, and f, as functions if 2y f(x. y) = y+ y + cos x

A: This question is related to differentiation, We will solve it using given information.

Q: Find the functions (a) f ° g  , (b)  g ° f , (c)  f ° f  , and(d) g °g  and their domains.   f(x)  =…

A: Consider the given function as fx=1-3x, gx=cosx

Q: The following functions are linearly independent sin x , cos COS x true Error

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Q: FInd Fas a function of x and evaluate it at x = 0, x = 7T/3, and x = /2. FX) = F(x Cos 8 de Fx) FO)

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A: Explanation of the answer is as follows

Q: The period of the function f(x) = 3sin(x-) is %3D 2n TE (a) (b) (c) 2n (d) 3 4 一2

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Q: Determine the period of the function: y -응 cos + 67 7 %3D COS 67 O 67 3/2 7/6 7/3

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Q: 2. sin 10x , sin 20x , sin 30x

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Q: Show directly that the given functions are linearly dependent on the real line. That is, find a…

A: Given: f(x)=17. g(x)=6sin 2x h(x)=3cos²x

Q: 2. sin 10x , sin 20x , sin 30x

A: Since you don't mention that for which value of x, we have to check wronskian. So, I explain for all…

Q: cOS x , tan x

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Q: Derive the differentiat equation From the following relationship elimin atihg the oPional constants…

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Q: Determine the constant K so that the function f(x, y) = xy sin(x+ fxy-4 fxx - 4fy = f Select one:

A: Introduction: Partial derivatives are derivatives of a function of multiple variables in which all…

Q: Find f. f '(t) = 8 cos t + sec2t,    −?/2 < t < ?/2,    f(?/3) = 5 f(t) =

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Q: Consider the following function of x and y: z = arctan Solve: dz ax A x² + y? y B 1+ x? © y x² + y²?…

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Q: Find ƒ if f"(t) = 2e* + 3 sin(t), f(0) = -2, f(T) = -4. %3D %3D f(t) =

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Q: x, 4x , 7x , 10x , 13x

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Q: Determine whether the given set of functions is linearly independent or linearly dependent on the…

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