The height s, in feet of a ball thrown upward at an initial speed of 64ft/s from a cliff 50 ft above an ocean beach is given by the function: s(t) = -8t2 + 64t + 50 where t is the time in seconds after the ball is released? Find the maximum height above the beach that the ball will attain.

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A: We have given height  h=4+16t-5t2 For height to be maximum  h'=dhdt=0 h'=d4dt+16dtdt-5dt2dt…

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A: Note to student :   Thanks for posting your queries. But there are multiple questions given. As per…

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Q: 3) If a projectile is launched into the air at 29.4 feet per second from a height of 60 feet, its…

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Q: From the top of the building, a ball is thrown straight up with an initial velocity of 32 feet per…

A: s=-16t2+32t+48 s=-16t2-2t+48 add and subtract 1 s=-16t2-2t+1-1+48 s=-16t-12-1+48 s=-16t-12+16+48…

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Q: velocity

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Q: maximum revenue for the revenue function

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Q: The value of China's exports of automobiles and parts (in billions of dollars) is approximately f(z)…

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Q: 15. The height of an airplane from the ground in meters is given by f(x) = -5x + 14x + 3, where t is…

A: Given:       fx=-5x2+14x+3 Lets find x at which fx=0       -5x2+14x+3=0   This is in the form of…

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Q: If an object is dropped from 182 foot high building, it's position (in feet above ground) is given…

A: Given that, an object is dropped from 182 foot high building. It’s position is given by,