hat e get 20. lim 1 x+2 19, lim 2 x+8 Au +1-3 9+h-3 22. lim 21. lim -2 h 1 1 (3+h) 3 3 24. lim 23. lim +t 25, Im - 26. lim 0 0 - 4x+4 4-x re 28. lim I2x .x 4 27. lim 16 16 - H) x2+9 5 29. lim 30. lim x t 4 (x+ h-x (x + h 31. lim 32. lim

Q: Find the volume of the solid obtained by rotating the region enclosed by x=8y, y^3=x, y≥0 about the ...

A: Calculation:Compute the volume using disk method.Obtain the points of intersection as follows.y3 = 8...

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A: Given curve is, 

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A: Given graph of P(x),From the graph, we can say that it is a cubic polynomial.

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A: Is it true?

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A:

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Q: Can I get help with this question step by step?

A:

Q: Can i get help with this problem step by step?

A: Given,

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Q: Evaluate without a calculator:

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Q: #16 please

A: We know that,

Q: In Problems 43-51, solve and give the solutions in interval notation.

A: We first rise both sides to the power 10. log and 10 cancels. 

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A:

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A: Hey, since there are multiple questions posted, we will answer first question. If you want any speci...

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A: Here, since limit of numerator and denominator is 0 as t approaches 0, so , we use L'hospital's rule...

Q: please answer parts c and d

A: The given function is:

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A: Given,

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A: Given, The plane through the point (6, 0, 1) and perpendicular to the line x = 7t, y = 8 − t, z = 5 ...

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A:

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Q: 95.a)

A:

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A: Given that t = square root of 2s/g.

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.