The relationship between the correlation coefficient r and the regression coefficients bxy and byx, is
Performing 3 iterations of bisection method the smallest positive approximate root of the equation x3 - 5x + 1 = 0, is
0.25
0.125
0.52
0.1875
D.
0.1875
x | f(x) | conclusion |
x = 0 |
f(0) = 0 - 0 + 1 = - 3 < 0 |
The root of the equation lies in the interval (0, 1). |
x = 1 |
f(1) = 1 - 5 + 1 = - 3 < 0 |
|
x = = 0.5 |
f(0.5) = (0.5)3 - 5(0.5) + 1 = 0.234 < 0 |
The root of the equation lies in the interval (0, 0.5) |
x = = 0.25 |
f(0.25) = (0.25)3 - 5(0.25) + 1 = 0.234 < 0 |
The root is in the interval (0, 0.025) |
x = | f(0.125) = (0.125)3 - 5(0.125) + 1 > 0 | The rootis in the interval (0.125, 0.25) |
If f(x) = and g(u) = u2 + 1, then g[f(1)] and f[g(- 1)] is equal to
1, 1/2
- 1, 1/2
0, - 1
None of these