Application of differentiation and integration on real

Reference no: EM13357239

Application of differentiation and integration on real world problem.

During the summer the temperature inside a van reaches 55⁰C while that outside is a constant 35⁰C. When the driver gets into the van, she turns on the air conditioner with the themostat set to 16⁰C. If the time constant for the van is 1/K = 2 hr and that for the van with its air conditioning system is1/K₁ = 1/3 hr,When will the temperature inside the van reaches 27⁰C? Assume that the amount of cooling supplied is proportional to the difference in temperature and that K₁ = K+K_U. Graph the temperature inside the van as a function of time for the four-houe period following the time the driver turned on the air conditioning.

After she has driven for two hours, the driver discovers that her air conditioning has turned itself off. Graph the temperature inside the van as a function of time for the four-hour period following the time the driver turned on the air conditioning given that the air conditioning is only on for the first two hours.

Discuss the cost of running the car air conditioner vs. just rolling down the windows. Irecommend you investigate the google searches on Air conditions fuel efficiency car and Air conditioners fuel efficiency car

It help to identify the model perameters for the three problems below. If a paremeter is not involved in the problem, enter N/A, include units.

Reference no: EM13357239

Questions Cloud

Show the mass as triple integral and solve the integral : show the mass as triple integral and solve the integral using spherical polar coordinate.let b be the three dimensional

Determine the multiple integral under given condition using : determine the multiple integral under given condition using spherical coordinate.let g be the three dimensional region

Evaluate the multiple integral under given condition using : evaluate the multiple integral under given condition using spherical coordinate.let t be the three dimensional region

Find the multiple integral under given condition using : find the multiple integral under given condition using cylindrical coordinate.evaluate the triple integral

Application of differentiation and integration on real : application of differentiation and integration on real world problem.during the summer the temperature inside a van

Evaluate the dimensions of the rectangle of maximum area : evaluate the dimensions of the rectangle of maximum area that can be inscribed in a ellipse.maximum area find the

Graph of the functionmake use of domain range symmetry : graph of the function.make use of domain range symmetry asymptotes intercepts relative extrema and or points of

Determining the height at which the light has to be fixed : determining the height at which the light has to be fixed to get its use in maximum area using its perimeter

User Account

All Pages