meorifaust meorifaust

09-01-2021
Mathematics

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If the maximum value of y=-3x² + mx + 10 is 37, find the values of m.

Respuesta :

ChoiSungHyun ChoiSungHyun

09-01-2021

Step-by-step explanation:

y = -3x² + mx + 10

dy/dx = -6x + m.

When dy/dx = 0, -6x + m = 0. => x = m/6.

We have y = -3(m/6)² + m(m/6) + 10 = 37.

=> -m²/12 + m²/6 = 27

=> -m² + 2m² = 324

=> m² = 324

=> m = 18 or m = -18.

Answer Link

09-01-2021

m=-18...................

Answer Link

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