Question

Срочно, даю 50 баллов

Answer 1

1) S(t) = 3t³ - 2t² + 5t + 12

V(t) = S'(t) = (3t³ - 2t² + 5t + 12)' = 3(t³)' - 2(t²)' + 5(t)' + 12' = 9t² - 4t + 5

a(t) = V'(t) = (9t² - 4t + 5)' = 9(t²)' - 4(t)' + 5' = 18t - 4

a(3) = 18 * 3 - 4 = 54 - 4 = 50

2) S(t) = t⁴ - 0,5t²

V(t) = S'(t) = (t⁴ - 0,5t²)' = (t⁴)' - 0,5(t²)' = 4t³ - t

a(t) = V'(t) = (4t³ - t)' = 4(t³)' - t' = 12t² - 1

a(2) = 12 * 2² - 1 = 48 - 1 = 47

$3)S(t)=\frac{3t+1}{t+2}\\\\V(t)=S'(t)=(\frac{3t+1}{t+2})'=\frac{(3t+1)'*(t+2)-(3t+1)*(t+2)'}{(t+2)^{2}}=\frac{3*(t+2)-(3t+1)}{(t+2)^{2}}=\frac{3t+6-3t-1}{(t+2)^{2}}=\frac{5}{(t+2)^{2}}\\\\V(3)=\frac{5}{(3+2)^{2} }=\frac{5}{25}=0,2$

Answer 2

Ответ ..............Пошаговое объяснение: