Questions from Calculus


Q: Describe the difference between a discontinuity that is removable and a discontinuity

Describe the difference between a discontinuity that is removable and a discontinuity that is non-removable. Then give an example of a function that satisfies each description. a. A function with a no...

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Q: Determine whether the statement is true or false. If it is

Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false.

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Q: Determine whether the statement is true or false. If it is

Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. If f(x) = g(x) for x ≠ c and f(c) ≠ g(c), then either f or g is not continuous...

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Q: Determine whether the statement is true or false. If it is

Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. The Intermediate Value Theorem guarantees that f(a) and f(b) differ in sign whe...

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Q: Determine whether the statement is true or false. If it is

Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. The limit of the greatest integer function as x approaches 0 from the left is −...

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Q: Sketch the graph of f′. Explain how you found your answer

Sketch the graph of f′. Explain how you found your answer.

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Q: Determine whether the statement is true or false. If it is

Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. A rational function can have infinitely many x-values at which it is not contin...

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Q: Determine whether the statement is true or false. If it is

Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. The function f(x) = │x - 1│ / x – 1 is continuous on (-∞, ∞).

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Q: Describe how the functions f(x) = 3 +

Describe how the functions f(x) = 3 + [[x]] and g(x) = 3 – [[-x]] differ.

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Q: Every day you dissolve 28 ounces of chlorine in a swimming pool

Every day you dissolve 28 ounces of chlorine in a swimming pool. The graph shows the amount of chlorine f(t) in the pool after t days. Estimate and interpret / and /

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