Questions from Calculus

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.

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.

Q: Prove the second part of Theorem 1.9. /

Prove the second part of Theorem 1.9.

Q: Let /

Let

Q: (a) Find an equation of the tangent line to the

(a) Find an equation of the tangent line to the graph of f at the given point, (b) use a graphing utility to graph the function and its tangent line at the point, and (c) use the tangent feature of a...

Q: Consider f(x) = sec x – 1 / x2

Consider f(x) = sec x – 1 / x2 a. Find the domain of f. b. Use a graphing utility to graph f. Is the domain of f obvious from the graph? If not, explain. c. Use the graph of f to approximate / d. Conf...

Q: b. Use your answer to part (a) to derive

b. Use your answer to part (a) to derive the approximation cos x ≈ 1 – ½ x2 for x near 0. c. Use your answer to part (b) to approximate cos(0.1). d. Use a calculator to approximate cos(0.1) to four d...

Q: In your own words, describe what it means for a function

In your own words, describe what it means for a function to be continuous at a point.

Q: What is the value of c? /

What is the value of c?

Q: Determine whether / exists. Explain. /

Determine whether / exists. Explain.