Questions from General Calculus

Q: A helicopter is rising straight up in the air. Its distance

A helicopter is rising straight up in the air. Its distance from the ground t seconds after takeoff is s(t) feet, where s(t) = t2 + t. (a) How long will it take for the helicopter to rise 20 feet? (b)...

Q: Let s(t) be the height (in feet)

Let s(t) be the height (in feet) after t seconds of a ball thrown straight up into the air. Match each question with the proper solution. Questions A. What is the velocity of the ball after 3 seconds?...

Q: Table 2 gives a car’s trip odometer reading (in miles)

Table 2 gives a car’s trip odometer reading (in miles) at 1 hour into a trip and at several nearby times. What is the average speed during the time interval from 1 to 1.05 hours? Est...

Q: A particle is moving in a straight line in such a way

A particle is moving in a straight line in such a way that its position at time t (in seconds) is s(t) = t2 + 3t + 2 feet to the right of a reference point, for t ≥ 0. (a) What is the velocity of the...

Q: A car is traveling from New York to Boston and is partway

A car is traveling from New York to Boston and is partway between the two cities. Let s(t) be the distance from New York during the next minute. Match each behavior with the corresponding graph of s(t...

Q: If f (100) = 5000 and f ‘(100)

If f (100) = 5000 and f ‘(100) = 10, estimate each of the following. (a) f (101) (b) f (100.5) (c) f (99) (d) f (98) (e) f (99.75)

Q: If f (25) = 10 and f ‘(25)

If f (25) = 10 and f ‘(25) = -2, estimate each of the following. (a) f (27) (b) f (26) (c) f (25.25) (d) f (24) (e) f (23.5)

Q: Let f (t) be the temperature of a cup of

Let f (t) be the temperature of a cup of coffee t minutes after it has been poured. Interpret f (4) = 120 and f ‘(4) = -5. Estimate the temperature of the coffee after 4 minutes and 6 seconds, that is...

Q: Differentiate. y = 4/x2

Differentiate. y = 4/x2

Q: Suppose that 5 mg of a drug is injected into the bloodstream

Suppose that 5 mg of a drug is injected into the bloodstream. Let f (t) be the amount present in the bloodstream after t hours. Interpret f (3) = 2 and f ‘(3) = -.5. Estimate the number of milligrams...