State and prove the two versions of fundamental theorem of calculus. Discuss the significance of these fundamental theorems.

Q: Name: Example 9: Prove that lim(4x - 5) = 7. Example 10: Prove that lim √√x = 0. x→0+

A: 9)limx-3(4x-5) =710)limx-0+ sqrt(x)=0

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A: Yes, the entire town eventually hear the rumor. 191 people know about the rumor after 2 days.

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A: The given equation is 2x3+y3=2xy+1.

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Q: Define the term Calculus.

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Q: State and prove the intermediate value theorem.

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