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Question Number 109494    Answers: 2   Comments: 0

Question Number 109493    Answers: 1   Comments: 0

Question Number 109489    Answers: 2   Comments: 0

(1) sin (2x)−cos (2x)−sin (x)+cos (x)=0 (2)lim_(x→0) ((e^x −e^(−x) )/(sin x)) (3)lim_(x→−1) ∣x+1∣ sin (x+1)

$$\left(\mathrm{1}\right)\:\mathrm{sin}\:\left(\mathrm{2}{x}\right)−\mathrm{cos}\:\left(\mathrm{2}{x}\right)−\mathrm{sin}\:\left({x}\right)+\mathrm{cos}\:\left({x}\right)=\mathrm{0} \\ $$$$\left(\mathrm{2}\right)\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{{e}^{{x}} −{e}^{−{x}} }{\mathrm{sin}\:{x}} \\ $$$$\left(\mathrm{3}\right)\underset{{x}\rightarrow−\mathrm{1}} {\mathrm{lim}}\mid{x}+\mathrm{1}\mid\:\mathrm{sin}\:\left({x}+\mathrm{1}\right) \\ $$$$ \\ $$

Question Number 109488    Answers: 0   Comments: 0

How many are the permutations of 1 − a little rubik′s cube with 4 squares by side 2 − a classical one with 9 squares by side

$${How}\:{many}\:{are}\:{the}\:{permutations}\:{of} \\ $$$$\mathrm{1}\:−\:{a}\:{little}\:{rubik}'{s}\:{cube}\:{with}\:\mathrm{4}\:{squares}\:{by}\:{side} \\ $$$$\mathrm{2}\:−\:{a}\:{classical}\:{one}\:{with}\:\mathrm{9}\:{squares}\:{by}\:{side} \\ $$

Question Number 109485    Answers: 1   Comments: 0

If f(x)=ax^2 +bx+c, g(x)= −ax^2 +bx+c where ac ≠ 0, then f(x)g(x)=0 has

$$\mathrm{If}\:{f}\left({x}\right)={ax}^{\mathrm{2}} +{bx}+{c},\:{g}\left({x}\right)=\:−{ax}^{\mathrm{2}} +{bx}+{c} \\ $$$$\mathrm{where}\:{ac}\:\neq\:\mathrm{0},\:\mathrm{then}\:{f}\left({x}\right){g}\left({x}\right)=\mathrm{0}\:\mathrm{has} \\ $$

Question Number 109483    Answers: 1   Comments: 2

Question Number 109472    Answers: 4   Comments: 0

Question Number 109469    Answers: 0   Comments: 2

Question Number 109468    Answers: 0   Comments: 0

Question Number 109464    Answers: 0   Comments: 0

(√(1+(√(2+(√(3+(√(4+...))))))))

$$\sqrt{\mathrm{1}+\sqrt{\mathrm{2}+\sqrt{\mathrm{3}+\sqrt{\mathrm{4}+...}}}} \\ $$

Question Number 109463    Answers: 0   Comments: 3

Question Number 109462    Answers: 1   Comments: 0

Question Number 109461    Answers: 1   Comments: 0

Question Number 109460    Answers: 1   Comments: 0

Question Number 109459    Answers: 0   Comments: 0

Question Number 109457    Answers: 3   Comments: 0

Question Number 109453    Answers: 1   Comments: 0

Question Number 109470    Answers: 0   Comments: 1

Question Number 109435    Answers: 1   Comments: 0

Question Number 109428    Answers: 2   Comments: 2

Question Number 109427    Answers: 1   Comments: 0

Question Number 109414    Answers: 2   Comments: 0

Question Number 109410    Answers: 3   Comments: 1

solve { ((x≡3 (mod 5))),((x≡ 1 (mod 7))),((x ≡ 6 (mod 8))) :}

$${solve}\:\begin{cases}{{x}\equiv\mathrm{3}\:\left({mod}\:\mathrm{5}\right)}\\{{x}\equiv\:\mathrm{1}\:\left({mod}\:\mathrm{7}\right)}\\{{x}\:\equiv\:\mathrm{6}\:\left({mod}\:\mathrm{8}\right)}\end{cases} \\ $$

Question Number 109403    Answers: 2   Comments: 0

∫ (dx/( (√(x^2 +a^2 ))))=ln∣x+(√(x^2 +a^2 ))∣+C Proof?

$$\int\:\frac{\mathrm{dx}}{\:\sqrt{\mathrm{x}^{\mathrm{2}} +\mathrm{a}^{\mathrm{2}} }}=\mathrm{ln}\mid\mathrm{x}+\sqrt{\mathrm{x}^{\mathrm{2}} +\mathrm{a}^{\mathrm{2}} }\mid+{C}\:\:\:\:\mathrm{Proof}? \\ $$

Question Number 109401    Answers: 3   Comments: 0

((JS)/(__00_00__00)) solve the equation 4sin 3x + (1/3)cos 3x = 3

$$\:\:\:\:\:\:\:\frac{{JS}}{\_\_\mathrm{00\_00\_\_00}} \\ $$$${solve}\:{the}\:{equation}\:\mathrm{4sin}\:\mathrm{3}{x}\:+\:\frac{\mathrm{1}}{\mathrm{3}}\mathrm{cos}\:\mathrm{3}{x}\:=\:\mathrm{3} \\ $$

Question Number 109400    Answers: 1   Comments: 4

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