Using the substitution t tan can be written as of dx sin(x) - 60 cos(x) of dt +30-30 2 de 30²2² +1-30 dt 30-t-30² dt 30²-30 tan (4). , the integral dt of 30²-1+30

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A: To find the rate of growth after 6 hours.

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Q: For what value of a is the following function continuous at every x? f(x) = a x+6a, x≥2 20, X<2

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A: Given query is to find the derivative of the function.

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Q: 1. Evaluate. (a) In (e) (c) 26 (e) tan-¹ (1)

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A: given f(x) = ( 4sinx + 6 cosx ) tan-1(x)f'(x) = ddx(4sinx + 6cosx )tan-1(x)f'(u.v) = udvdx + vdudx

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A: Given query is to find the value of derivative.

Q: Find the derivative of ?(?)=32?3+14?2+2?+1f(x)=32x3+14x2+2x+1 where ?=2x=2.

A: given f(x)=32x3+14x2+2x+1

Q: Evaluate

A: b) Given sinπ6π6=π6×180ππ6=30°sinπ6=sin30°sin(π6)=12

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Q: 0 Which of the following has the indeterminate form f(x): = f(x) = f(x) = = f(x) = = In 3x 9-x COS…

A: I am attaching image so that you understand each and every step.

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A: A function with no breaks is a continuous function.

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A: The number x of MP3 music players that a store will sell and their price p in dollars are related by…

Q: For what value of a is the following function continuous at every x? a²x+2a, x≥2 12, X<2 f(x) =…

A: Topic = Functions

Q: given point. 24. y = x + tan x, (TT, TT)

A: