To find the critical points, first we derivate the function:
dy/dx has roots x = 0 and x = -5/6.
When x < -5/6, we can check that dy/dx is negative. When -5/6 < x < 0, we can check that dy/dx is positive. And, when x > 0, we can check that dy/dx is also positive.
Therefore, y is increasing when x > -5/6 and decrasing when x < -5/6. y has inflection points at x = -5/6 and x = 0
Answer: Four-thirdsπ(6)³
Step-by-step explanation: The formula for the volume of a sphere is attached in the image down below.
Notice that two of the options listed have <em>three-fourths</em> but we use <em>four-thirds </em>to find the volume of a sphere. This means that we can eliminate the 1st and the 3rd option.
Now, we will multiply that by π and then by the radius cubed which is also written as 6³. This means that our answer would be the second option.
