Suppose 10 < f'(x) < 20 for all x E R (and so f(x) is continuous and differentiable on R). Use the Mean Value Theorem to place an upper AND lower bound on the size of the difference f(4) – f(16), i.e. place a bound on |f(4) – f(16)|. Please select file(s) Select file(s)

Q: Which of the following is the absolute minimum value of the fuk took f(x)=(x-3)^3 on interval [1,4]

A: The graph is shown below:

Q: A continuous function defined on an open interval (a,b) must have a minimum value. True False

A:

Q: Provide an example of a function which is continuous on all of R and differentiable on all of R…

A: The function is y=x+4 (shown in the figure above)

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A:

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A:

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Q: Use 50 rectangles to approximate the are under the graph of f(x)=3** on [-2,2].

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Q: if f functions is bounded on [a,b] does f has an absolute maximum and absolute minimum or not??

A: if f functions is bounded on [a,b] does f has an absolute maximum and absolute minimum or not??

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A:

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A: