(495+37)-(212-154)=532-58=474
S(t) = 2t³ + t² - 7
скорость V(t) = S'(t) = 6t² + 2t
при t = 4
V(4) = 6 · 4² + 2 · 4 = 96 + 8 = 104
Ответ: 104
2. 1/(х - 3) - 6/(x^2 - 9) = 1/(x - 3) - 6 /(x + 3)(x - 3) = ((x + 3) - 6)/(x + 3)(x - 3) =
(x + 3 - 6) / (x + 3)(x - 3) = (x - 3) /(x + 3)(x - 3) = 1 /(x + 3)
3. (a - 4) /(a^2 + 4a + 16) + 12a / (a^3 - 64) - 1 / (a - 4) = (a - 4) / (a^2 + 4a + 16) + 12a / ((a - 4)(a^2 + 4a + 16)) - 1/(a - 4) = ((a -4)(a - 4) + 12a - (a^2 + 4a + 16)) / ((a - 4)(a^2 + 4a + 16)) = (a^2 - 8a + 16 + 12a - a^2 - 4a - 16) / ((a - 4)(a^2 + 4a + 16)) = 0 / (a^3 + 64) = 0
1) 6*2*2*2*4*4=768дм
2) 3*2*12*3*4*2=1728дм