Differential equations. make your work clear! note parts c and d, might require you to do some short research or read the review packet a) without referring to your notes, describe what a differential equation in your own words. when would you differential equations be used in physics? the key is not to write down the correct answer but for vou to have your own definition and refine it accordingly. points will be deducted if responses are copied from any resource, and full credit is awarded otherwise b) you are pouring a solution of your favorite drink containing a (where a is a constant) lb/gal into a large tank at a rate of r gal/min. the tank initially has b gal of pure water. assume that the tank has stirrers inside and has a hole on the bottom that drains liquid at the same rate r. let q be the concentration inside the tank. write a differential modeling the situation (hint: try drawing this out, how would you define? ) dq dt dr2 c) solve the differential equation. w0, x(0)-0 (hint, what function(s) exists where the second derivative of the function is equal to the negative of itself.) dar dt d) solve the differential equation. _-x 0, x(0)-0

-first use of geothermal energy occurred more than 10,000 years ago in north america by american paleo-indians

-the first industrial use of geothermal energy began near pisa, italy in late 18th century

-in 1904, italian scientist piero ginori conti invented the first geothermal electric power plant in which steam was used to generate the power

-with the above experiment, the first geothermal plant in usa started in 1922 with a capacity of 250 kilowatts

-however, in 1946 first ground-source geothermal heat pump installed at commonwealth building in portland, oregon

-during the 1960’s, pacific gas and electric began operation of first large scale geothermal power plant in san francisco, producing 11 megawatts

-in 1973, when oil crisis began many countries began looking for renewable energy sources and by 1980’s geothermal heat pumps (ghp) started gaining popularity in order to reduce heating and cooling costs

-as effect of climate change started showing results, governments of various countries joined hands to fight against it, for which kyoto protocol was signed in japan in 1997, laid out emission targets for rich countries and required that they transfer funds and technology to developing countries, 184 countries have ratified it

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air exerts forces on falling objects near earth’s surface.

explanation:

the term 'free falls' refer to object that are falling towards the earth, in a situation in which gravity is the only force acting on the object.

for an object in free fall, the acceleration is constant (g, the gravitational acceleration), and so the velocity of the object constantly increases.

for objects near earth's surface, there is always another force acting on the object: the resistance due to the air. this force is opposed to the direction of fall of the object, and it is proportional to the velocity of the object, so as the object falls down, this force increases up to a point when it balances the force of gravity, and the object continues its motion at constant velocity (called terminal velocity). since in this case gravity is not the only force acting on the object, we are not in a situation of free fall.

moisture is lackin, and organic acids are scarce.