Let f be the function given by f(x) = x3+ 5x . For what value of x in the closed interval [1,3 ] does the instantaneous rate of change of f equal the average rate of change of f on that interval?

x = 2.1

Step-by-step explanation:

Instantaneous rate of change of f =

Average rate of change of f in an interval [a,b] =

Average rate of change =

At the point when instantaneous rate of change = Average rate of change,

Divide both sides by 3

Take the square root of both sides

±

±2.0817

But since the value of x has to be between 1 and 3,

x = 2.0817 ≅ 2.1

80π/3 or about 83.775

step-by-step explanation:

since a cone is 1/3 of a cylinder, we need to find the base's area. since area = πr^2, we get 16π. then, multiplying this by 5, we get 80π. dividing by 3, since the cone's volume is 1/3 of that of a cylinder's, we get 80π/3.

hope this !

probability for j is 1/4

while

a is 1/6