Nuclear energy derived from radioactive iso- topes can be used to supply power to space vehicles. The output of the radioactive power supply for a certain satellite is given by the function y = 40e-0.004t, where y is in watts and t is the time in days. How much power will be available at the end of 180 days?

Q: A 500 gallon oil spill undergoes a cleanup process. The company hired to clean the spill can remove…

A: It is given that 15% of the spilled oil gets cleaned and initially there are 500 gallon of oil is…

Q: 2. Find the length of chord HT that is 4 cm from the center of circle A with a radius of 5. Hint:…

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Q: The amount of radioactive substance after t years is modeled using A=Cekt. a one kilogram sample has…

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Q: An investment grows according to the formula B = 8000 x 1.0065* dollars, where t is time, measured…

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Q: An evergreen nursery usually sells a certain shrub after 6 years if growth and shaping. The growth…

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Q: Suppose that the value (in $) of a car is described by V(t)=16,200(0.97)t, where t is the number of…

A: Given: Value of a car described by V(t) (in $) V(t)=16,200(0.97)t t number of years.

Q: A bacteria culture is known to grow at a rate proportional to the amount present. After one hour,…

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Q: Actinium is a radioactive soft metal that glows light blue in the dark. The isotope actinium-228 has…

A: Half life formula is as below : where, N0=initial value=1.65 milligram t12= half life =21.77

Q: The pressure of the air in the Earth's atmosphere decreases exponentially with altitude above the…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.