The Function $f(x)=8 x \sqrt{x+1}$ Satisfies the Hypotheses of the Mean Value Theorem on the Mean

question 139

Short Answer

The function $f(x)=8 x \sqrt{x+1}$ satisfies the hypotheses of the Mean Value Theorem on the interval $[0,3]$ . Find all values of c that satisfy the conclusion of the theorem.

---

Definitions:

Bonds Payable

Bonds payable refers to the long-term debt a company owes to bondholders, representing the amount that is due to be paid back at the bond's maturity date along with periodic interest payments.

Straight-Line Method

A depreciation method that allocates an equal amount of the asset's cost to each accounting period of its useful life.

Effective-Interest Method

A technique of calculating the amortized cost of a bond and the amount of interest expense over its life, correcting for any differences between the issue price and the redemption value.

Interest Expense

Interest expense is a cost incurred by an entity for borrowed funds, reflected on the income statement.