-
$\sqrt{3}$
-
$\sqrt{2}$
-
$1$
-
$0$
$\sqrt{3}$
$\sqrt{2}$
$1$
$0$
Solution:
A unit vector along any direction always has magnitude.
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If the derivative $f^{\prime}$ of $f$ satisfies the equation $f ^{\prime}( x )=\frac{ f ( x )}{ b ^2+ x ^2}$ for all $x \in R$, then which of the following statements is/are TRUE?
$(A)$ If $b>0$, then $f$ is an increasing function
$(B)$ If $b<0$, then $f$ is a decreasing function
$(C)$ $(x)(-x)=1$ for all $x \in R$
$(D)$ $(x)-f(-x)=0$ for all $x \in R$
| X | 0 | 1 | 2 | 3 | 4 |
| P(X) | 0.1 | k | 2k | k | 0.1 |
$1.$
Eight coins are tossed together. The probability of getting exactly 3 heads is:
$12\pi\ \text{cm}^{3}/\text{sec}.$
$180\pi\ \text{cm}^{3}/\text{sec}.$
$225\pi\ \text{cm}^{3}/\text{sec}.$
$3\pi\ \text{cm}^{3}/\text{sec}.$