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- 18 Фев 2019
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1.
f(x) = 5x^2 / (x^2 + 1)
f(2) = 5 * 2^2 / (2^2 + 1) = 5 * 4 / (4 + 1) = 20 / 5 = 4.
f(-2) = 5 * (-2)^2 / ((-2)^2 + 1) = 5 * 4 / (4 + 1) = 20 / 5 = 4. [x^2 = |x|^2]
f(0) = 5 * 0^2 / (0^2 + 1) = 5 * 0 / 1 = 0. [0 / V = 0]
f(2) + f(-2) + f(0) = 4 + 4 + 0 = 8.
2.
c(x) = (2x^3 - 5x) / 10
c(3) = (2 * 3^3 - 5*3) / 10 = (2 * 27 - 15) / 10 = (54 - 15) / 10 = 19/10 = 3.9
c(-3) = (2 * (-3)^3 + 5*3) / 10 = -(2 * 27 + 15) / 10 = -(54 + 15) / 10 = -69/10 = -6.9
c(3) + (c-3) = 3.9 - 6.9 = -3
3.
f(x) = 0.25x + 6
a) 0.25x + 6 = 0
0.25x = -6
x = -6 / 0.25 = -24
б) 0.25x + 6 = 4
0.25x = -2
x = -2 / 0.25 = -8
в) 0.25x + 6 = 1
0.25x = -5
x = -5 / 0.25 = -20
f(x) = 5x^2 / (x^2 + 1)
f(2) = 5 * 2^2 / (2^2 + 1) = 5 * 4 / (4 + 1) = 20 / 5 = 4.
f(-2) = 5 * (-2)^2 / ((-2)^2 + 1) = 5 * 4 / (4 + 1) = 20 / 5 = 4. [x^2 = |x|^2]
f(0) = 5 * 0^2 / (0^2 + 1) = 5 * 0 / 1 = 0. [0 / V = 0]
f(2) + f(-2) + f(0) = 4 + 4 + 0 = 8.
2.
c(x) = (2x^3 - 5x) / 10
c(3) = (2 * 3^3 - 5*3) / 10 = (2 * 27 - 15) / 10 = (54 - 15) / 10 = 19/10 = 3.9
c(-3) = (2 * (-3)^3 + 5*3) / 10 = -(2 * 27 + 15) / 10 = -(54 + 15) / 10 = -69/10 = -6.9
c(3) + (c-3) = 3.9 - 6.9 = -3
3.
f(x) = 0.25x + 6
a) 0.25x + 6 = 0
0.25x = -6
x = -6 / 0.25 = -24
б) 0.25x + 6 = 4
0.25x = -2
x = -2 / 0.25 = -8
в) 0.25x + 6 = 1
0.25x = -5
x = -5 / 0.25 = -20
