The price of dance lessons depends upon the number of lessons that you select. If x is the number of lessons then 40x if0 8 lessons are increasing by 10% per lesson with a $5 processing fee for each student. What is the new function for the cost of lessons? 44x if0 8 35x + 5 if r> 8 44x+5 if0 8 35x if r> 8

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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.