Questions from General Calculus

Q: A tank holds 1000 gallons of water, which drains from the

A tank holds 1000 gallons of water, which drains from the bottom of the tank in half an hour. The values in the table show the volume V of water remaining in the tank (in gallons) after t minutes. a...

Q: A cardiac monitor is used to measure the heart rate of a

A cardiac monitor is used to measure the heart rate of a patient after surgery. It compiles the number of heartbeats after t minutes. When the data in the table are graphed, the slope of the tangent l...

Q: A patient receives a 150-mg injection of a drug every

A patient receives a 150-mg injection of a drug every 4 hours. The graph shows the amount f(t) of the drug in the blood stream after t hours. Find and explain the significance of these o...

Q: Use the Squeeze Theorem to show that /

Use the Squeeze Theorem to show that Illustrate by graphing the functions f, g, and h (in the notation of the Squeeze Theorem) on the same screen.

Q: If 4x - 9 ≤ f(x) ≤ x2 -

If 4x - 9 ≤ f(x) ≤ x2 - 4x + 7 for x ≥ 0, find

Q: If 2x ≤ g(x) ≤ x4 - x2 +

If 2x ≤ g(x) ≤ x4 - x2 + 2 for all x, evaluate

Q: Prove that /

Prove that

Q: Prove that /

Prove that

Q: Find the limit, if it exists. If the limit does

Find the limit, if it exists. If the limit does not exist, explain why.

Q: Find the limit, if it exists. If the limit does

Find the limit, if it exists. If the limit does not exist, explain why.