Higher Math 2nd Paper CQ-Barishal Board-2017

If a particle is projected vertically upwards form the groun with an initial velocity $u$ then find the time of rise.

From Scenario-1, find the difference of two times when th projected particle is at 1 meter height.

From Scenario-2, if the river flows towards $A C$ and if swimmer can exceed the distance $A B$ at time $t_{1}$ and $A C_{1}$ time $t_{2}$, then find the ratio of $t_{1}$ and $t_{2}$.

After reducing to standard form, indentify the conic $4 x^{2}-9 y^{2}-1=0$

For $\mathrm{e}=1$, determine the equation of the conic according to Scenario-1.

Find the focus and equation of the directrix of the equation given in scenario-2.

Find the cube roots of 1 .

From Secnario-2, find the minimum value of $z=3 x+4 y$ by using graph where $\mathrm{x}, \mathrm{y} \geq 0$.

From Secnario-1, formulate a linear programming problem to fulfil the daily requirements of vitamins with minimum cost.

Define mutually exclusive events and not mutualt? exclusive events.

Find the probability of two head and odd number may $b$ occurred with the help of sample space.

Find the standard deviation from the frequenc. distribution.

Prove that, $\sec ^{-1} \frac{\sqrt{5}}{2}+\tan ^{-1} \frac{1}{2}=\cot ^{-1} \frac{3}{4}$.

Draw the graph of $\mathscr{g}(\mathrm{x})$, when $\mathrm{p}=\frac{1}{2},-1 \leq \mathrm{x} \leq 1$.

Find the general solution of the equation:

$2\{\mathrm{~h}(\mathrm{x})\}^{2}+\{\mathrm{h}(2 \mathrm{x})\}^{2}=2$