Jane and jill want mom to ride the rollercoaster with them ,but she thinks it will ne to fast.She asks the girls to find out how fast the rollercoast will be travelling. They find out that the speed of the rollercoaster,in miles per hour, is modeled  by the function g(x)=x to the fourth power - 4x to the power of 2 + 7x - 8, where x is time measured in seconds. How fast is the rollercoaster traveling at 2 seconds? A.6miles per hour B.22 miles per hour c.26 miles perhour D.54 miles per hour

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Q: If f(x)=9ex, find f(5). Round your answer to the nearest tenth

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Q: Explain the effect that the constant a has on the graph of y = ax². Be sure to consider a 0.

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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.