Question

Para a função h(x), a taxa de variação média no intervalo x=2 e x=5 vale sendo h(x)=0,0205x

Answer 1

Explicação passo-a-passo:

$\sf tmv_{h,[x_1,x_2]}=\dfrac{h(x_2)-h(x_1)}{x_2-x_1}$

$\sf tmv_{h,[2,5]}=\dfrac{h(5)-h(2)}{5-2}$

$\sf tmv_{h,[2,5]}=\dfrac{0,0205\cdot5-0,0205\cdot2}{5-2}$

$\sf tmv_{h,[2,5]}=\dfrac{0,1025-0,041}{3}$

$\sf tmv_{h,[2,5]}=\dfrac{0,0615}{3}$

$\sf tmv_{h,[2,5]}=0,0205$