Apply the limit laws and evaluate. If your answer is "DOES NOT EXIST" please type DNE. (2 points each) 3) lim(2x3 + 4x2 - 3x + 1) X-5 4) lim (3x5-2x3 + 6x2-4) x-2 x²-9 5) lim X-3 x-3

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A: Solved below

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A: Follow the procedure given below.

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A: Given

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A: topic - linear function 

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A: topic - Rolle's theorem

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A: This question is based on finding equation of plane when we know 3 points of plane.

Q: Let f(x) = 4x^3 − 3x^2 − 18x + 5. (a) Find the critical numbers of f. (b) Find the open interval(s) ...

A: Answer is given below.

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A: As per our guidelines, we can answer only one question in a single request. Kindly re-post the other...

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Q: this

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A: follow the procedure given below.

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A: Given that∑n=1∞18n-12a. Integral test for convergence or divergence fx=18x-12a=1,b→∞∑n=1∞18n-12≈∫1∞1...

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A: This question is based on inverse of function.

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A: Explanation of the answer is as follows

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A: f(-1)=3f'(x)≤2Integrating w.r.t x;∫ f'(x) dx ≤ ∫2 dxf(x)≤2x+Cf(-1)=33=2(-1)+CC=3+2C=5

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Q: dy Find in terms of x and y if x In y + yo = 4 ln x. dx

A: Solution is written in below steps.

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