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h(t)=t^2-14t 356 maximum height

Sagot :

Answer:

Maximum height = 332 units

Step-by-step explanation:

Maximum height reached when h'(t) = 0

h'(t) = 2t - 14 = 0

2t - 14 = 0

2t = 14 Divide both sides by 2

t = 14 / 2

t = 2

This implies that the height is maximum when

t = 2,

Maximum height = h (2)

= 2² - 14(2) + 356

= 4 - 28 + 356

Maximum height = 332 units