The functiony = 0.03x2 + 245.50, 0 < x < 100approximates the exhaust temperature y in degreesFahrenheit, where x is the percent load for a dieselengine.(a) Find the inverse function. What does eachvariable represent in the inverse function?(b) Use a graphing utility to graph the inversefunction.(c) The exhausttemperature ofthe engine mustnot exceed500 degreesFahrenheit. Whatis the percent loadinterval?

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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.