Answer:
The change in the volume of a sphere whose radius changes from 40 feet to 40.05 feet is approximately 1005.310 cubic feet.
Step-by-step explanation:
The volume of the sphere (
), measured in cubic feet, is represented by the following formula:

Where
is the radius of the sphere, measured in feet.
The change in volume is obtained by means of definition of total difference:

The derivative of the volume as a function of radius is:

Then, the change in volume is expanded:

If
and
, the change in the volume of the sphere is approximately:


The change in the volume of a sphere whose radius changes from 40 feet to 40.05 feet is approximately 1005.310 cubic feet.
Bike to work: d=16*t
ride home: d = 27*.4 =10.8
solve for t
10.8 = 16*t
t = 10.8/16
0.7 of an hour
(6x^2+5x+1)/(3x^2+4x+1)
= (3x+1)(2x+1)/(3x+1)(x+1)
= (2x+1)/(x+1)
Answer:
Step-by-step explanation:
(10 - 8)/(-21 + 9)= 12/-12= -1
y - 8 = -1(x + 9)
y - 8 = -x - 9
y = -x - 1