Questions from General Calculus

Q: The graph of f is shown. State, with reasons,

The graph of f is shown. State, with reasons, the numbers at which f is not differentiable.

Q: Find the limit. limx→3 x2 -9/

Find the limit. limx→3 x2 -9/x2 + 2x -3

Q: Let C (t) be the total value of US currency

Let C (t) be the total value of US currency (coins and banknotes) in circulation at time t. The table gives values of this function from 1980 to 2000, as of September 30, in billions of dollars. Inter...

Q: Find the limit. limx→-3 x2 – 9/

Find the limit. limx→-3 x2 – 9/x2 + 2x - 3

Q: Find the limit. limx→1 x2 – 9/

Find the limit. limx→1 x2 – 9/x2 + 2x -3

Q: Find the limit. limh→0 (h – 1

Find the limit. limh→0 (h – 1)3 + 1/h

Q: Find the limit. limt→2 t2 – 4/

Find the limit. limt→2 t2 – 4/t3 - 8

Q: Find the limit. limr→9 √r/ (

Find the limit. limr→9 √r/ (r -9)4

Q: Find an equation of the tangent line to the curve y =

Find an equation of the tangent line to the curve y = x√x that is parallel to the line y = 1 + 3x.

Q: Explain what each of the following means and illustrate with a sketch

Explain what each of the following means and illustrate with a sketch.