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Question Number 170181 Answers: 1 Comments: 0

Question Number 170166 Answers: 1 Comments: 1

lim_(x→0) ((1/(sin^2 x))−(1/x^2 ))=? please solve it describely.

$${li}\underset{{x}\rightarrow\mathrm{0}} {{m}}\left(\frac{\mathrm{1}}{{sin}^{\mathrm{2}} {x}}−\frac{\mathrm{1}}{{x}^{\mathrm{2}} }\right)=? \\ $$$${please}\:{solve}\:{it}\:{describely}. \\ $$

Question Number 170187 Answers: 1 Comments: 3

Question Number 170159 Answers: 1 Comments: 0

lim_(x→4) ((e !x−24)/( (√x)−2))=?

$$\underset{{x}\rightarrow\mathrm{4}} {\mathrm{lim}}\:\frac{{e}\:!{x}−\mathrm{24}}{\:\sqrt{{x}}−\mathrm{2}}=? \\ $$

Question Number 170155 Answers: 1 Comments: 0

Given f(x)=x(√(1−x+(√(1−x)))) where 0≤x≤1 find max f(x)

$$\:\:{Given}\:{f}\left({x}\right)={x}\sqrt{\mathrm{1}−{x}+\sqrt{\mathrm{1}−{x}}} \\ $$$$\:{where}\:\mathrm{0}\leqslant{x}\leqslant\mathrm{1} \\ $$$$\:{find}\:{max}\:{f}\left({x}\right) \\ $$

Question Number 170154 Answers: 0 Comments: 0

Question Number 170150 Answers: 1 Comments: 0

Question Number 170148 Answers: 1 Comments: 0

Question Number 170255 Answers: 1 Comments: 0

(d/dx)[∫_2 ^x e^t^2 dt=?

$$\frac{{d}}{{dx}}\left[\int_{\mathrm{2}} ^{{x}} {e}^{{t}^{\mathrm{2}} } {dt}=?\right. \\ $$

Question Number 170143 Answers: 0 Comments: 3

Question Number 170142 Answers: 0 Comments: 2

Question Number 170141 Answers: 1 Comments: 3

lim_(x→0) ((1/(sin^2 x))−(1/x^2 ))=?

$${li}\underset{{x}\rightarrow\mathrm{0}} {{m}}\left(\frac{\mathrm{1}}{{sin}^{\mathrm{2}} {x}}−\frac{\mathrm{1}}{{x}^{\mathrm{2}} }\right)=? \\ $$

Question Number 170140 Answers: 0 Comments: 0

Question Number 170131 Answers: 1 Comments: 0

4^(∣x∣) =x^4 x=?

$$\mathrm{4}^{\mid{x}\mid} ={x}^{\mathrm{4}} \\ $$$${x}=? \\ $$

Question Number 170130 Answers: 0 Comments: 3

lim_(x→0) ((1/(sin^2 x))−(1/x^2 ))=?

$${li}\underset{{x}\rightarrow\mathrm{0}} {{m}}\left(\frac{\mathrm{1}}{{sin}^{\mathrm{2}} {x}}−\frac{\mathrm{1}}{{x}^{\mathrm{2}} }\right)=? \\ $$

Question Number 170129 Answers: 0 Comments: 0

lim_(x→4) ((e !x−24)/( (√x)−2))=?

$$\underset{{x}\rightarrow\mathrm{4}} {\mathrm{lim}}\:\frac{{e}\:!{x}−\mathrm{24}}{\:\sqrt{{x}}−\mathrm{2}}=? \\ $$

Question Number 170126 Answers: 0 Comments: 3

Question Number 170120 Answers: 1 Comments: 2

Question Number 170117 Answers: 1 Comments: 1

x^2 =4^x x=?

$${x}^{\mathrm{2}} =\mathrm{4}^{{x}} \:\:\:\:\:\:{x}=? \\ $$$$ \\ $$$$ \\ $$

Question Number 170116 Answers: 1 Comments: 1

solve the D.E. (x+2y−4)dx+(2x+y−5)dy=0

$${solve}\:{the}\:{D}.{E}. \\ $$$$\left({x}+\mathrm{2}{y}−\mathrm{4}\right){dx}+\left(\mathrm{2}{x}+{y}−\mathrm{5}\right){dy}=\mathrm{0} \\ $$

Question Number 170115 Answers: 0 Comments: 0

In △ABC then: ((cos (A/2) ∙ cos (B/2) ∙ cos (C/2))/((1 - sin (A/2))∙(1 - sin (B/2))∙(1 - sin (C/2)))) ≥ 3(√3)

$$\mathrm{In}\:\:\bigtriangleup\mathrm{ABC}\:\:\mathrm{then}: \\ $$$$\frac{\mathrm{cos}\:\frac{\mathrm{A}}{\mathrm{2}}\:\centerdot\:\mathrm{cos}\:\frac{\mathrm{B}}{\mathrm{2}}\:\centerdot\:\mathrm{cos}\:\frac{\mathrm{C}}{\mathrm{2}}}{\left(\mathrm{1}\:-\:\mathrm{sin}\:\frac{\mathrm{A}}{\mathrm{2}}\right)\centerdot\left(\mathrm{1}\:-\:\mathrm{sin}\:\frac{\mathrm{B}}{\mathrm{2}}\right)\centerdot\left(\mathrm{1}\:-\:\mathrm{sin}\:\frac{\mathrm{C}}{\mathrm{2}}\right)}\:\geqslant\:\mathrm{3}\sqrt{\mathrm{3}} \\ $$

Question Number 170113 Answers: 0 Comments: 0

Question Number 170109 Answers: 0 Comments: 0

Question Number 170106 Answers: 1 Comments: 0

Question Number 170110 Answers: 2 Comments: 1

prove that e^(iθ) =cosθ+isinθ

$${prove}\:{that} \\ $$$${e}^{{i}\theta} ={cos}\theta+{isin}\theta \\ $$

Question Number 170091 Answers: 0 Comments: 0

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