MCQ
$\int_{\,0}^{\,\pi } {{{\cos }^3}x\,dx = } $
- A$ - 1$
- ✓$0$
- C$1$
- D$\pi $
$\{\because \,\,{{\cos }^{3}}(\pi -x)=-{{\cos }^{3}}x\}$ .
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| Class: | $0-6$ | $6-12$ | $12-18$ | $18-24$ | $24-30$ |
| Frequency : | $a$ | $b$ | $12$ | $9$ | $5$ |
If mean $=\frac{309}{22}$ and median $=14$, than value $(a-b)^{2}$ is equal to $.....$
$(A)$ $f$ has a local maximum at $x=2$
$(B)$ $f$ is decreasing on $(2,3)$
$(C)$ there exists some $c \in(0, \infty)$ such that $f ^{\prime \prime}( c )=0$
$(D)$ $f$ has a local minimum at $x=3$