a. Suppose f (t) is piecewise continuous on [0, 0) and is of exponential order. Of the two images below, which one is the only plausible one. Explain. s² + 1 s +1 L{f(t)} 3s2 L{f(t)} 35? 3s2

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A: Given that: f(x)=-x27+45

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A:

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A:

Q: Suppose that a continuous function g satisfies: | 9(2)de = 12 and | 9(20)da = 24. Find og(3x²)dx.

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Q: determine L−1[F].

A:

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A: Big-Θ notation: A function g(n) is in Θ(f(n)) if there exist constants c1, c2, and N such that…

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A:

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A: Solution:Given: Let be a positive integer. the function is defined bywe have to find the value of

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A:

Q: Assume that a manufacturer has productivity function P(l, c) where I and c are the amounts of labor…

A: given  productivity function=p(l,c) l=amount of labor and  c=amount of capital utilized

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A:

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.