(г,9) —(0,0)22 — у4 – y4

Q: y = log (cos(2x) );y'=* %3D %3D O 2 tan ( 2x ) / In (10) O - 2 tan ( 2x ) / In (10) O 2 cot ( 2x ) /…

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Q: Differentiate each of the following functions. i. y = 12x12 – 24 - ii. y = x5/6 – 28 - iii. y = 14…

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Q: Determine which of the following functions are locally Lipschitz, globally Lipschitz, or not…

A: Here we need to find wether given function is locally, globally lipschitz or not.

Q: If we have to y = C₁e* + c₂xe* is the general solution of the homogeneous differential equation…

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Q: Зх — 4у + 23 (a) f(x, y, z) = '9 – x² – y² –. - V2t – 4 x² – y? - (b) g(x, y, t) : -

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Q: Determine the value of x of: (Зх — 1 f(x) = {5 x + 2 x 2 X = 2

A: Given:    Function is given

Q: Determine the value of x of the discontinuous function: х — 1 f (x) 3D {3х — 3 (-4x + 3 x 3 -

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Q: The cost C in dollars of manufacturing x bicycles at a production plant is given by the function…

A: topic- application of derivatives

Q: 1. Find the domains of the following functions. x2 - 2x 2.x-3 (a). f(x) = (b). f(x) = (c). f(x) = 3…

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Q: y = Arctan ( sinh (2x)); y' = * O - 2 coshx /(1+ sinh^2 (2x)) O 2 coshx / (1+ sinh^2 (2x)) O 2/ cosh…

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Q: 14 Consider the following two functions: 1 exp dx %3D (面) e() tan (2) %3D Explain why both of these…

A: Given function is  φv=12π∫-∞ve-x22dx Let us consider  fx=12πe-x22 Then, fx is the probability…

Q: cos(130°) cos(10°) + sin(130°) sin(10°)

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Q: Determine the value of x of the discontinuous function: * х — 1 = {3x – 3 -4x + 3 x 3

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Q: Consider the following functions. f(u) = u + 1 h(u) : = Vu + 1 p(u) = 1 - 4u2 (1 – 4u2)9 Vu + 1(1 –…

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Q: An exponential function t(x) = v(a“-²) where v is a nonzero integer and a is an integer greater than…

A: Given: The exponential function is, t(x)=v(ax-2). v is a nonzero integer. a is an integer greater…

Q: a) f(x) = (1+ ln²x)² tanx

A: f(x)=(1+ln2x)2tanx differentiate…

Q: 4. List the zero(s) of the following function: zero(s):

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Q: f(x) = 5x - cos x Find the x-value at which f is not continuous. Is the discontinuity removable?…

A: Discuss the continuity of f(x) = 5x - cos x.

Q: (ii) (iii) x+ +sin y = x'y² %3D

A: The objective is to differentiate the given functions. (ii) Given y=x2+π This can be rewritten as,…

Q: 'x + 7 |x – 2| f(x) = { x² – 2x x 3 9x 2х — 3

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Q: f(0) = 4, g(0) = 9, f' (0) = 11, gʻ(0) = 6. Find h'(0) for the function h(x) = g(x)f(r). h'(0) = %3D

A: f(0)= 4 g(0) = 9 f'(0)= 11 g'(0) = 6 h(x) = g(x) f(x)  And we have to find, h'(0) = ?

Q: y = sqrt ( sin (x^2));y * %3D xcos(x) / (sqrt (sin(x^2)) xcos^2(x) / (sqrt (sin(x^2)) O xcos(x^2) /…

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