(1.) An apple pie is removed from a 350 degree oven. The temperature of the pie t minutes after being reemoved is given by the function:
T(t) = 72+268e -0.086t. Determine the time(in minutes) required for the pie to cool to a temperature of 115 degrees Fahrenheit. Answer accurate to two decimal points..
(2.) A ball is tossed upwards from a height of 200 feet with an initial velocity of 45 feet/second. The heoght h(t) of the ball above the ground t seconds after being tossed is given by the function:
h(t) = -16t^2+45t+200. Determine the time in seconds after being tossed that the ball reaches a height of 100 feet above the ground. Answer as a number accurate to two decimal places.
(3.) Graph the function f(x) = x^3 -6x+2 on the interval from x= -4 to x =4. The graph of this function has three x-intercepts. Calculate the largest(rightmost) of these x-intercepts to two decimal places.
Calculate the largest (rightmost) of these x-intercepts to two decimal places in these problems.