Derivative of T Determine the derivative of 1. y = 100 cos 3x 2. y = 5 tan (6x - 1) 3. y = 12 cot (-x³ + 4)

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Q: Solve the differential equation (D³ – 2D² – 5D + 6)y = (e2x + 3)2 %3D - -

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Q: +00 1 Σ 4n² – 8n + 3 n=1

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Q: tan x[cot x – cos x]dx

A: Here we can find the integration as below

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Q: 2. f(x) 3. f(x) = (56x – 3)(4x +5) = 56x - 32x + 16x - 10 4. f(x) = 2x-6 x+3

A: since you have posted multiple question in this question which are not interlinked so i have solved ...

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Q: С. 1 Evaluate the following limits x2 +6x+5 1) lim x-5 x²+2x-15 x(х-5)-24 2) lim x→8 x2-8x (2+x)3-8 ...

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Q: IV. Determine whether the given series is convergent or divergent. Justify your answers (a) E (c) E(...

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Q: Given the function f(x) = x – 15x², find all x-values where f has an inflection point.

A: Solution is written in below steps.

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Q: Write the first-order differential equation in standard form. (Use yp for dy/dt.) dy dt = 7y + ty +...

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