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Show That the Function Is Concave Upward Wherever It

question 14

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Show that the function Show that the function   is concave upward wherever it is defined. ​ A)  The function   is defined for any value of x and   hence the function is concave upward for any x. B)  The second derivative of   is   . It is positive for any value of x, hence the function is concave upward for any x. C)  The first derivative of   is   . It is positive for any value of x, hence the function is concave upward for any x. is concave upward wherever it is defined. ​


Definitions:

Total Loss

A situation in which property is so severely damaged that repairing it is not reasonable or possible, often leading to a claim of the full insured value.

Fire Damage

Destruction or injury caused by fire.

Shareholder

An individual or entity that owns part of a public or private corporation through possession of one or more shares of its stock.

Insurable Interest

The financial or other type of interest a policyholder must have in the subject matter of the insurance policy, ensuring they suffer a financial loss if the insured event occurs.

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