Question

What is exponential growth? What consequences can we expect if U.S. population growth and energy consumption continue to grow exponentially? What are renewable energy sources and how can using renewable energy to generate electricity help alleviate this problem?

Answer 1

In expontial growth the rate of change of the value of a function is proportional to the function's current value.

k is proportanility constant.

On integration it gives

Hence such a function N is exponentially growing.

If U.S. population growth and energy consumption continue to grow exponentially then sorce of energy will decay exponentially. Currently used non renewable energy sorces (i.e. sources which are naturally replenished) such as coal, petrolium will dimnished.

Renewable energyre source are those sources which cam be replenishes naturally such as water, wind, sunlight etc. Thsese sources are helpful to overcome resource depletion caused by usage and consumption. Potential energy of water is used to move blade of turbine. This mechanical work is further converted into electric energy. Similarly wind energy is also used to produce electrical energy via mechanical energy of wind mill. Sunlight is used in solar panel to produced electricity.