Questions from Calculus

Q: Estimate the slope of the graph at the points (x1,

Estimate the slope of the graph at the points (x1, y1) and (x2, y2).

Q: Find the slope of the tangent line to the graph of the

Find the slope of the tangent line to the graph of the function at the given point. h(t) = t2 + 4t, (1, 5)

Q: How would you describe the instantaneous rate of change of an automobile’s

How would you describe the instantaneous rate of change of an automobile’s position on a highway?

Q: Consider the length of the graph of f(x) =

Consider the length of the graph of f(x) = 5/x from (1, 5) to (5, 1).

Q: Write a brief description of the meaning of the notation /

Write a brief description of the meaning of the notation

Q: Identify three types of behavior associated with the nonexistence of a limit

Identify three types of behavior associated with the nonexistence of a limit. Illustrate each type with a graph of a function.

Q: Given the limit / use a sketch to show the

Given the limit use a sketch to show the meaning of the phrase “0

Q: Is the limit of f(x) as x approaches c

Is the limit of f(x) as x approaches c always equal to f(c)? Why or why not?

Q: Complete the table and use the result to estimate the limit.

Complete the table and use the result to estimate the limit. Use a graphing utility to graph the function to confirm your result.

Q: Complete the table and use the result to estimate the limit.

Complete the table and use the result to estimate the limit. Use a graphing utility to graph the function to confirm your result.