There are currently 300 cells in a culture and it grows at a

A baseball is travelling on a path given by the equation y 0 011x 1 15x 1 22 The profile of the bleachers in the outfield can be modelled with the equation y 0 6x 72 All distances are in metres a Determine the maximum height of the ball b Does the ball reach the bleachers for a home run Justify your answer

A rectangular solid with a square base has a volume of 1 728 cubic inches Let w represent the length of the sides of the square base and let h represent the height of the solic a Determine the dimensions in inches that yield the minimum surface area W h in in in b Find the minimum surface area in in

O cm cm cm cm cm s The function V r models the volume of a basketball that is deflating due to a puncture If V r is measured in cm and r is measured in cm what are the units of V r 1 point rm s

Given this function f x 35 arcsin 11 an equation for the line tangent to the graph of y f x at the point where x Y is

Apie is removed from your oven with an internal temperature of 165 F It is placed on your counter to cool The temperature of the room is 65 F If the temperature is 140 F after half an hour how much time will have passed when the temperature of the pie will be equal to 95 F Note Round to the nearest hundredth of an hour

Which of the following would not be a representation of the differentiable function f where f 5 3 6 points O The slope of y f x at x 5 is 3 O The instantaneous rate of change at x 5 of f x is 3 O f 3 h f 3 lim h 0 h 5 The slope of a line tangent to the graph of f at x 5 is 3

9 A farmer has 5000 meters of fencing to enclose a rectangular field and subdivide it into three equal plots The enclosed area is to be a maximum Determine the dimensions of one plot of land to the nearest meter

Farmer Ed has 650 meters of fencing and wants to enclose a rectangular plot that borders on a river If Farmer Ed does not fence the side along the river find the length and width of the plot that will maximize the area What is the largest area that can be enclosed The width labeled x in the figure is 162 5 meters Type an integer or decimal The length labeled 650 2x in the figure is 325 meters Type an integer or decimal The largest area that can be enclosed is Type an integer or decimal square meters CEL

Correct The total revenue for Fred s Estates LLC is given as the function R x 100x 0 4x where x is the number of rooms rented What number of rooms rente produces the maximum revenue Answer How to enter your answer opens in new window Keyboard

1 2 A drone flies in a straight line with a positive velocity v t in miles per hour at time t hours where v is a differentiable function of t Selected values of v t are shown in the table t hours 2 v t miles per hour 2 1 2 5 2 1 0 1 3 4 5 6 1 7 1 5 1 5 1 6 Based on the values in the table at is the smallest number of instances at which the acceleration of the plane could equal zero on the open interval 0 c 6 1 point