Use the mean value theorem to prove that if the derivative of f(x) is less than or equal to 2 for x> 0 and f(0)=4 then f(x) is less than or equal to 2x+4 for all x greater than or equal to 0.

The proof is given below.

Step-by-step explanation:

Given:

Using Mean Value Theorem,

Here,

Therefore,

Now, as per question the derivative of is less than or equal to 2.

Therefore, . Plug in the value of . This gives,

Therefore, we get, and hence it is proved using mean value theorem.

you would have to sell 24 bracelets.

step-by-step explanation:

84/3.5 = 24