Questions from General Calculus

Q: (a) What quantities are given in the problem?

(a) What quantities are given in the problem? (b) What is the unknown? (c) Draw a picture of the situation for any time t. (d) Write an equation that relates the quantities. (e) Finish solving the pro...

Q: A runner sprints around a circular track of radius 100 m at

A runner sprints around a circular track of radius 100 m at a constant speed of 7 m/s. The runner’s friend is standing at a distance 200 m from the center of the track. How fast is the distance betwee...

Q: Find the derivative. Simplify where possible. y = e

Find the derivative. Simplify where possible. y = e cosh 3x

Q: Find the derivative. Simplify where possible. Yy = sinh

Find the derivative. Simplify where possible. Yy = sinh-1 (tanx)

Q: Find the derivative. Simplify where possible. y = x

Find the derivative. Simplify where possible. y = x tanh-1 x

Q: Find the derivative. Simplify where possible. y = x

Find the derivative. Simplify where possible. y = x sinh-1 (x/3)

Q: Find the derivative. Simplify where possible. y = sech

Find the derivative. Simplify where possible. y = sech-1 (e-x)

Q: Find the derivative. Simplify where possible. y = coth

Find the derivative. Simplify where possible. y = coth-1 (sec x)

Q: Use implicit differentiation to find an equation of the tangent line to

Use implicit differentiation to find an equation of the tangent line to the curve at the given point. 2(x2 + y2)2 = 25(x2 - y2), (3, 1), (lemniscate)

Q: The minute hand on a watch is 8 mm long and the

The minute hand on a watch is 8 mm long and the hour hand is 4 mm long. How fast is the distance between the tips of the hands changing at one o’clock?