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AllQuestion and Answers: Page 345

Question Number 186617 Answers: 1 Comments: 2

lim_(x→∞) ((x^2 −1)/( (((x^2 −1)))^(1/5) ))=? with solution

$$\underset{{x}\rightarrow\infty} {{lim}}\frac{{x}^{\mathrm{2}} −\mathrm{1}}{\:\sqrt[{\mathrm{5}}]{\left({x}^{\mathrm{2}} −\mathrm{1}\right)}}=?\:\:\:\:\:\:\:\:{with}\:{solution} \\ $$

Question Number 186616 Answers: 1 Comments: 0

Question Number 186613 Answers: 0 Comments: 0

Question Number 186622 Answers: 1 Comments: 2

Solve plz ((√(4+3(√(25+4(√(16)))))))^2

$$\:\:\:\mathrm{Solve}\:\mathrm{plz} \\ $$$$\:\:\:\:\left(\sqrt{\mathrm{4}+\mathrm{3}\sqrt{\mathrm{25}+\mathrm{4}\sqrt{\mathrm{16}}}}\right)^{\mathrm{2}} \\ $$

Question Number 186605 Answers: 1 Comments: 1

Question Number 186637 Answers: 2 Comments: 0

Question Number 186636 Answers: 1 Comments: 2

x^2 +x+1=0 x^(92) =?

$${x}^{\mathrm{2}} +{x}+\mathrm{1}=\mathrm{0} \\ $$$$\:\:\:{x}^{\mathrm{92}} =? \\ $$

Question Number 186631 Answers: 1 Comments: 2

Question Number 186630 Answers: 1 Comments: 0

Question Number 186627 Answers: 2 Comments: 1

Question Number 186590 Answers: 3 Comments: 0

A+B=(π/4) find the (1+tanA)(1+tanB)=? with explanotory solution

$$\mathrm{A}+\mathrm{B}=\frac{\pi}{\mathrm{4}}\:\:\:\:\:{find}\:{the}\:\left(\mathrm{1}+\mathrm{tan}{A}\right)\left(\mathrm{1}+\mathrm{tan}{B}\right)=?\: \\ $$$${with}\:{explanotory}\:{solution} \\ $$

Question Number 186582 Answers: 0 Comments: 0

(((10x^3 −c)/(4x^4 −x+1))+x^2 )^2 =x(x^3 +1)

$$\left(\frac{\mathrm{10}{x}^{\mathrm{3}} −{c}}{\mathrm{4}{x}^{\mathrm{4}} −{x}+\mathrm{1}}+{x}^{\mathrm{2}} \right)^{\mathrm{2}} ={x}\left({x}^{\mathrm{3}} +\mathrm{1}\right) \\ $$

Question Number 186580 Answers: 0 Comments: 0

∫_0 ^1 e^x^2 dx=A ,Find lim_(n→∞) n[(1/n)Σ_(i=1) ^n ∫_1 ^(i/n) e^x^2 dx+((e−1)/2)]=?

$$\int_{\mathrm{0}} ^{\mathrm{1}} {e}^{{x}^{\mathrm{2}} } {dx}={A}\:\:,{Find}\:\underset{{n}\rightarrow\infty} {{lim}n}\left[\frac{\mathrm{1}}{{n}}\underset{{i}=\mathrm{1}} {\overset{{n}} {\sum}}\int_{\mathrm{1}} ^{{i}/{n}} {e}^{{x}^{\mathrm{2}} } {dx}+\frac{{e}−\mathrm{1}}{\mathrm{2}}\right]=? \\ $$

Question Number 186577 Answers: 1 Comments: 0

Question Number 186572 Answers: 1 Comments: 0

f={(1,2),(4,6),(5,8)} and g={(1,7),(2,4),(5,8)} the domain of f(g(x)) which number is not include? 1)1 2)2 3)5 4)all corect how is the solution?

$${f}=\left\{\left(\mathrm{1},\mathrm{2}\right),\left(\mathrm{4},\mathrm{6}\right),\left(\mathrm{5},\mathrm{8}\right)\right\}\:\:{and}\:\:\:{g}=\left\{\left(\mathrm{1},\mathrm{7}\right),\left(\mathrm{2},\mathrm{4}\right),\left(\mathrm{5},\mathrm{8}\right)\right\} \\ $$$${the}\:{domain}\:{of}\:\:\:{f}\left({g}\left({x}\right)\right)\:\:\:{which}\:{number}\:{is}\:{not}\:{include}? \\ $$$$\left.\mathrm{1}\left.\right)\left.\mathrm{1}\left.\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{2}\right)\mathrm{2}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{3}\right)\mathrm{5}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{4}\right){all}\:{corect} \\ $$$${how}\:{is}\:{the}\:{solution}? \\ $$

Question Number 186571 Answers: 2 Comments: 0

If x=−(1/((1+m)))((2/3)±(√((4/9)±((ia(√m))/(12))))) where (1+m)^2 =am and that 9a(a+16)^2 =(16)^3 Find real x.

$${If}\:\:\:{x}=−\frac{\mathrm{1}}{\left(\mathrm{1}+{m}\right)}\left(\frac{\mathrm{2}}{\mathrm{3}}\pm\sqrt{\frac{\mathrm{4}}{\mathrm{9}}\pm\frac{{ia}\sqrt{{m}}}{\mathrm{12}}}\right) \\ $$$${where}\:\:\:\left(\mathrm{1}+{m}\right)^{\mathrm{2}} ={am} \\ $$$$\:\:\:\:{and}\:{that}\:\:\mathrm{9}{a}\left({a}+\mathrm{16}\right)^{\mathrm{2}} =\left(\mathrm{16}\right)^{\mathrm{3}} \\ $$$${Find}\:{real}\:{x}. \\ $$

Question Number 186566 Answers: 0 Comments: 1

∫4^x^dx =?

$$\int\mathrm{4}^{{x}^{{dx}} } =? \\ $$

Question Number 186557 Answers: 1 Comments: 0

Question Number 186555 Answers: 1 Comments: 1

Question Number 186551 Answers: 2 Comments: 1

Question Number 186549 Answers: 1 Comments: 0

Question Number 186547 Answers: 1 Comments: 0

p(a or b)=0.7 and p(a)=0.4 find p(b) if a and b are independent

$${p}\left({a}\:{or}\:{b}\right)=\mathrm{0}.\mathrm{7}\:{and}\:{p}\left({a}\right)=\mathrm{0}.\mathrm{4} \\ $$$${find}\:{p}\left({b}\right)\:{if}\:{a}\:{and}\:{b}\:{are}\:{independent} \\ $$

Question Number 186546 Answers: 0 Comments: 2

Question Number 186544 Answers: 0 Comments: 1

Question Number 186540 Answers: 0 Comments: 0

Complex Numbers Prove that 1. ∣Z_1 +Z_2 ∣≤∣Z_1 ∣+∣Z_2 ∣ 2. ∣Z_1 −Z_2 ∣≥∣Z_1 ∣−∣Z_2 ∣

$${Complex}\:{Numbers} \\ $$$${Prove}\:{that} \\ $$$$\:\mathrm{1}.\:\mid{Z}_{\mathrm{1}} +{Z}_{\mathrm{2}} \mid\leq\mid{Z}_{\mathrm{1}} \mid+\mid{Z}_{\mathrm{2}} \mid \\ $$$$\mathrm{2}.\:\mid{Z}_{\mathrm{1}} −{Z}_{\mathrm{2}} \mid\geq\mid{Z}_{\mathrm{1}} \mid−\mid{Z}_{\mathrm{2}} \mid \\ $$

Question Number 186539 Answers: 0 Comments: 0

(1)∫(lim_(x→x+1) ((x^(x+2) x^(2+x^2 ) )/( (√x))))dx=? (2)∫((2+xcos 2x)/(1−2x+cos 3x))dx=? (3) Σ_(n=5) ^(4n) (3n+2n)=?

$$\left(\mathrm{1}\right)\int\left(\underset{{x}\rightarrow{x}+\mathrm{1}} {\mathrm{lim}}\frac{{x}^{{x}+\mathrm{2}} {x}^{\mathrm{2}+{x}^{\mathrm{2}} } }{\:\sqrt{{x}}}\right){dx}=? \\ $$$$\left(\mathrm{2}\right)\int\frac{\mathrm{2}+{x}\mathrm{cos}\:\mathrm{2}{x}}{\mathrm{1}−\mathrm{2}{x}+\mathrm{cos}\:\mathrm{3}{x}}{dx}=? \\ $$$$\left(\mathrm{3}\right)\:\underset{{n}=\mathrm{5}} {\overset{\mathrm{4}{n}} {\sum}}\left(\mathrm{3}{n}+\mathrm{2}{n}\right)=? \\ $$

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