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

Q: -mperature of a northern city from 6 a.m. to 6 p.r 2.3 (in degrees Celsius) and x is the number of…

A: We have to choose the correct option from the given options according to the given information

Q: If an object is dropped near the surface of Mars, then the distance d. in meters, that it will fall…

A: Please see the below picture for detailed solution.

Q: When a piece of paper has zero folds it has one rectangle. When folded in half once it has two…

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Q: noon, a large pool contains only 26 gallons of water. A hose is set up so that the pool is filled at…

A: Introduction: We use the term "Rate" to describe the comparison and ratio of two separate…

Q: The following equation represents the relationship between hours of TV watched per day (x) and the…

A: Given dataŷ = -0.944x + 24.52x is the hours of TV watched per dayŷ is the number of situpspredicting…

Q: The function f(x) = 0.00056(3x + 2) + 1 models the Harrington Paper Company's revenue, where x is…

A:

Q: The equation M(x,y) = 73 +0.8x -0.9y gives the mileage (in mpg) of a new car as a function of tire…

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Q: 1. What is thex-intercept of the function y= log, (3x+ 4) 2? %3D

A: We’ll answer the 1st question since we answer only one question at a time. Please submit a new…

Q: dy 4) Find dx when y² – x² + cos(x + y) = 0

A: As we know that the derivative of : ddx(xn)=nxn-1 ddx(cos(x))=-sin(x) ddx(f(g(x)))=f'(g(x))g'(x)

Q: Try to find a "guess function" for the equation y" – 4y = 16xe2". What happens when you plug in the…

A:

Q: The function​ A(s) given by ​A(s)=0.245s+51 can be used to estimate the average age of employees…

A:

Q: by John throws a football off the roof Of the gym to a spot on the ground, The height of the ball is…

A: The height of the ball is modelled by the function h(t) = -5t² + 20t+15 where h is the height in…

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.