Show That the Function Is Concave Upward Wherever It

question 14

Multiple Choice

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.

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Definitions:

FMVSS 121

The Federal Motor Vehicle Safety Standard that sets the requirements for air brake systems in commercial vehicles in the United States.

Air Reservoirs

Tanks used in vehicles, especially those with pneumatic systems, to store compressed air for various functions, like braking and suspension.

Air Brake Circuit

An arrangement of components including air tanks, hoses, valves, and actuators, designed to operate brakes using compressed air.

Slack Adjusters

Components in a vehicle's brake system that adjust the brakes as they wear, ensuring consistent braking performance.