JermiyahB251852 JermiyahB251852
  • 30-10-2022
  • Mathematics
contestada

Does a maximum value exist for y = 8x^2 + 80x + 72? Explain your answer.

Respuesta :

MarleniR174024 MarleniR174024
  • 30-10-2022

Solution

Reason 1:

[tex]\begin{gathered} y=8x^2+80x+72 \\ \\ \Rightarrow\frac{dy}{dx}=16x+80 \\ \\ \frac{d^2y}{dx^2}=16>0(\text{ Minimum\rparen} \end{gathered}[/tex]

Reason 2:

Since the coefficient of x is positive, the graph is going to be minimum.

Maximum value does not exist.

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