Suppose a radioactive substance decays at a rate of 4% per hour. How long does it take until the substance is half of its original weight?

The answer is 17 1/3 hours

Find the area of the surface obtained by rotating the curve z=4e^2y from y = 0 to y =1 about the y-axis. the area is square units

Solve one step and two step problems

Consider the function f left parenthesis x right parenthesis equals 4 x squared minus 3 x minus 1f(x)=4x2−3x−1 and complete parts (a) through (c). (a) find f left parenthesis a plus h right parenthesis f(a+h); (b) find startfraction f left parenthesis a plus h right parenthesis minus f left parenthesis a right parenthesis over h endfraction f(a+h)−f(a) h; (c) find the instantaneous rate of change of f when aequals=77.