Math  /  Word Problems

QuestionAdrian, un niño de 10 años, necesita espirometría. Usa V(t)=3.5t+1+3.5V(t)=-3.5^{-t+1}+3.5 y F(x)={13x(x1.5)0x<1.25169x+5691.25x3.5F(x)=\left\{\begin{array}{cc}-13 x(x-1.5) & 0 \leq x<1.25 \\ -\frac{16}{9} x+\frac{56}{9} & 1.25 \leq x \leq 3.5\end{array}\right.. Grafica F(x)F(x), indica rangos de VV y FF, y analiza intervalos de aumento y disminución de velocidad.

Studdy Solution
For the second part of the function, the derivative is (x)=169'(x) = -\frac{16}{9}, which is negative for .25x.5.25 \leq x \leq.5. So the expiration speed decreases for .25x.5.25 \leq x \leq.5.

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