Blog

A race car begins the race with an acceleration of [a] m/s2 for [t] s.  What speed does the car reach at the end of this time interval, in meters/second?

A rock is dropped off of a tall bridge.  The rock takes 4.05 s to reach the water below.  What is the height of the bridge (ignore air resistance)?

Both scalar and vector quantities have magnitude, but only scalar quantities have direction.

A river flows north to south with a speed of [v1] m/s.  If a kayak is propelled due east across this river at a speed of [v2] m/s, and the river is [d] m wide, how far downstream will the kayaker land with respect to their original position on the west bank of the river, in meters?

The rate of flow, f(t), of a continuous income stream is a linear function decreasing from $10,000 to $5,000 over five years.  Find the total income produced over those five years.

Find the area between the curve y = x2 and y = 4.  Show your work and results in the file that you upload.

Find the total income produced by a continuous income stream in the first five years if the rate of flow is .  Show your work and results in the file that you upload.

The cost of producing a product is given by .  For what production level (x) is the average cost a minimum?  Show your work in the file that you attach.

Find the relative extrema of the function .  Show your work in the file that you attach.

Explain how the Second Derivative Test is used to determine where a function is at a maximum or minimum.