Problem 2 Evaluate the limit if it exists or state DNE (does not exist): V4u+1-3 a) limu¬2 u-2 b) limx-3(5x³ – 3x2 +x – 6) c) lime-o -) d) limy-ox*cos(

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A: 1. ∫x2-x4dx  

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A: A point x= k is a critical point of a function g(x) if g'(k) =0 or g'(k) is not  defined.

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A: We can simplify the given questions as below.

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A: critical numbers are those such that value of the derivative of the function is zero.

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A: Differentiation is also called derivative.

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Q: fly(x)) c? Vx U= x)こ

A: y=e3x U=g(x) y=f(U)

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Q: 8 csc? 4x cos(cot(4x)) dx sin² (cot(4x))

A: Here, I will be using method of substitution to solve this integral. You can assume:           sin(c...

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A: 4)y=x62-3x44+5x26-78Differentiate w.r.t.x using power rule.dydx=6x52-3*4x34+5*2x6-0dydx=3x5-3x3+53x

Q: 11. If 16% less than a certain quantity is 441, find the quantity. Ans. 525

A: 11. Let the certain quantity be x From the given statement x-16% of x=441

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Q: 5.) y3 x+ at a point where x 3

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