Question

Алгебра, 10 класс, Оптима.

Answer 1

$S (t) = {t}^{4} - t {}^{3} + 2t \\ S'(t) = V(t) \\ V(t) =S'(t) = 4 {t}^{3} - 3 {t}^{2} + 2 \\ t = 3 \\ V(3) = 4 \times {3}^{3} - 3 \times {3}^{2} + 2 = \\ 4 \times {3}^{3} - {3}^{3} + 2 = 3 \times 3 {}^{3} + 2 = \\ 3 {}^{4} + 2 = 81 + 2 = 83 \: \: \frac{cm}{c}$