2. Find the derivative for each of the following, be sure to use proper notation and simplify when needed (both, positive or negative exponents are permitted. 1 (3) a. m = V6n (3) b. y = 4t5 %3D (3) c. v = (4t3 – 6t)5 (3) d. y = Vx3 –+ 300 - x2

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A:

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A: As per bartleby guidelines we only give first three question answers. 

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A: Topic:- sequence and series

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A: Let's find. 

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Q: 2022 2. Evaluate lim,tx (1+

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A: Taylor series of function fx at a is defined as:       fx=fa+f'a1!x-a+f''a2!x-a2+f'''a3!x-a3+…=25+dd...

Q: (a) If f(x) = V3 – x, find the inverse function f. %3D

A: Topic = Functions

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A: As we know that; The Power law; ddxxn=nxn-1 And ∫sinax+bdx=-1acosax+b+C∫cosax+bdx=1asinax+b+C Where,...

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A: