125
75
60
36
Correct answer is B
No. of ways = 3 x 5 x 5
= 75
Calculate the variance of \(\sqrt{2}\), (1 + \(\sqrt{2}\)) and (2 + \(\sqrt{2}\))
0
\(\sqrt{\frac{2}{3}}\)
\(\frac{2}{3}\)
2
Correct answer is C
| x | (x - \(\bar{x}\)) | (x - \(\bar{x}\)) |
|
\(\sqrt{2}\) 1 + \(\sqrt{2}\) 2 + \(\sqrt{2}\) |
-1 0 1 |
1 0 1 \(\overline{2}\) |
variance = \(\frac{\sum(x - \bar{x})^2}{n}\)
= \(\frac{2}{3}\)
A force of 230N acts in its direction 065\(^o\). Find its horizontal component.
208.5N
197.2N
118.5N
97.2
Correct answer is D
Horizontal component = 230 cos 64
= 97.2N
In what interval is the function f : x -> 2x - x\(^2\) increasing?
x = 1
x < 1
x > 1
0 < x < 1
Correct answer is C
2x - x\(^2\) > 0
0 > x\(^2\) - 2x
x\(^2\) - 2x < 0
x(x - 2) < 0
x > 1
-9
-6
15
21
Correct answer is C
f(x) = x\(^3\) + px + q
f(3) 3\(^2\) + 3pf + q = 6
f\(^{1}\)(x) = 2x + p
f\(^1\)(3) = 2(3) + p = 0
p = -6
from 9 + 3p + q = 6
9 + 3(-6) + q = 6
9 - 18 + q = 6
-9 + q = 6
Q = 6 + 9
= 15