Adam takes his remote control boat down to race it around his pond. He sets it in the water next to the dock and recognizes the position function of the boat, in relation to the end of the dock, as it travels away from him is given as ?(?)=3?4 −5?3 +?–6feet where t is the time (in seconds) since the boat started moving. Find the distance the boat is away from the end of the dock after 3 seconds. State the equation for the velocity of the boat. Find the velocity of the boat after 3 seconds. State the equation for the acceleration of the boat. Find the rate at which the boat is accelerating after 3 seconds.

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Q: Use the function c=15n+5 to find the value of c when n=8.

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Q: nanges saved D 2. The height after t seconds of an object projected upward with an initial velocity…

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Q: We are standing on the top of a 384 feet tall building and launch a small object upward. The…

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Q: The cost of producing xgallons of Slurm is given by the function ?(?) = 2? + 48. A gallon of Slurm…

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Q: The number of unwatched shows in Timo's DVR is 62. This number grows by 12 unwatched shows per week.…

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Q: Mia jumps off a cliff into the ocean in Acapulco while on vacation.  Her height, h, above the water…

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Q: A ball is thrown into the air with an upward velocity of 40 feet/second. Its height, h, after t…

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Q: ay makes a base salary of $2,500 per month. Once he reaches $48,000 in total sales, he earns an…

A: To find out the total sales for the month mentioned.

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Q: At an amusement park, the pendulum ride's movement from its starting position in meters can be…

A: Given:- fx=-4cosx8+4

Q: We are standing on the top of a 48 feet tall building and launch a small object upward. The object's…

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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.