Which of the following is the smallest-1-4-1-5-3-4-3-5

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Comparison of Decimals

Which of the ...

Question

Which of the following is the smallest?
$\frac{1}{4}$ , $\frac{1}{5}$ , $\frac{3}{4}$ , $\frac{3}{5}$

\frac{1}{4}

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\frac{1}{5}

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\frac{3}{4}

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\frac{3}{5}

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Find $\frac{d y}{d x}$ in the following questions:

$y = t a n^{- 1} \frac{3 x - x^{3}}{1 - 3 x^{2}}, - \frac{1}{\sqrt{3}} < x < \frac{1}{\sqrt{3}} .$

If $c o s A = \frac{4}{5}$ and $c o s B = \frac{12}{13}, \frac{3 π}{2} < A, B < 2 π$ , find the value of the following

$(i) c o s (A + b)$

$(i i) s i n (A - B)$

cos α + cos β = \frac{3}{2}

sin α + sin β = \frac{1}{2}

θ

α

β

sin 2 θ + cos 2 θ

B r_{2}

O_{2}

O_{2.}

B r_{2} + \frac{1}{2} O_{2} \to B r_{2} O

B r_{2} + \frac{3}{2} O_{2} \to B r_{2} O_{3}

{log}_{4} 5

{log}_{\frac{1}{16}} (\frac{1}{25})

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