Let f be the function defined by f (x) = x + lnx. What is the value of c for which the instantaneous rate of change of f at x = c is the same as the average rate of change of f over [1, 4]?

A football is kicked toward the goal. The height of the ball is modeled by the function h (t) = - 16t2 + 64t where t equals the time in seconds and h (x) represents the height of the ball at time t seconds.

A regular polygon is drawn in a circle so that each vertex is on the circle and is connected to the center by a radius.

Find all zeros of f (x) = x^3-17x^2+49x-833

Write 6 * 10 - 7 in decimal notation. 0.0000006 0.00006 600,000 6,000,000

Is the ratio 10:3.515 and 9:4.05proportional

The kindergarten teacher wants to divide 1/2 of her classroom into 5 equal sections for stations

A train traveling at 30 miles per hour reaches a tunnel which is 9 times as long as the train. If the train takes 2 minutes to completely clear the tunnel, how long is the train in miles? (1 mile = 5,280 feet)

The cost for 7 dance lessons is $82. the cost for 11 is $122. write a linear equations to find the total cost C for L dance lessons. How much for 4 lessons?

What is 9.09 repeating as a fraction?

The number of gallons of water in a tank that already has 300 gallons in it after being filled at 35 gallons per minute for m minutes