Determine the standard equation of parabola with vertex V(2,-3) ,focus is below the vertex and is 8 units away from the directrix.

The number of revolutions of two pulleys is inversely proportional to their diameters. if a 24-inch diameter pulley making 400 revolutions per minute is belted to an 8-inch diameter pulley, find the number of revolutions per minute of the smaller pulley.

What is the average rate of change for this function for the interval from x=2 to x=4 ?

Write the summation to estimate the area under the curve y = 1 + x2 from x = -1 to x = 2 using 3 rectangles and right endpoints