Which flow diagram best explains the energy transformations that occur within an automobile running on diesel?
a) chemical energy → kinetic energy→ heat energy
b) heat energy → kinetic energy → chemical energy
c) kinetic energy → mechanical energy → heat energy
d) mechanical energy → heat energy → chemical energy

A) chemical energy → kinetic energy→ heat energy

Explanation:

Energy neither forms nor gets destroyed. Energy gets converted from one form to another. Diesel is a fuel which has chemical energy. When automobile starts running, the engine burns the fuel and it converts into kinetic energy with runs the automobile and the energy is converted to heat.

Hence, the correct sequence of energy transformation would be:

A)chemical energy → kinetic energy→ heat energy

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .

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