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Question Number 191430 Answers: 3 Comments: 0

factorise 4x^4 +81

$${factorise}\:\mathrm{4}{x}^{\mathrm{4}} +\mathrm{81} \\ $$

Question Number 191429 Answers: 0 Comments: 0

Best prime generating formula

$${Best}\:{prime}\:{generating}\:{formula} \\ $$

Question Number 191229 Answers: 0 Comments: 0

evaluate P_n =(a+sin θ)(a+sin (θ/2))(a+sin (θ/2^2 ))...(a+sin (θ/2^n )) with ∣a∣≤1

$${evaluate} \\ $$$${P}_{{n}} =\left({a}+\mathrm{sin}\:\theta\right)\left({a}+\mathrm{sin}\:\frac{\theta}{\mathrm{2}}\right)\left({a}+\mathrm{sin}\:\frac{\theta}{\mathrm{2}^{\mathrm{2}} }\right)...\left({a}+\mathrm{sin}\:\frac{\theta}{\mathrm{2}^{{n}} }\right) \\ $$$${with}\:\mid{a}\mid\leqslant\mathrm{1} \\ $$

Question Number 191212 Answers: 0 Comments: 0

Question Number 191210 Answers: 1 Comments: 0

2^x +2^(x+1) >3^x +3^(x+1)

$$\mathrm{2}^{{x}} +\mathrm{2}^{{x}+\mathrm{1}} >\mathrm{3}^{{x}} +\mathrm{3}^{{x}+\mathrm{1}} \\ $$

Question Number 191205 Answers: 1 Comments: 2

Question Number 191203 Answers: 3 Comments: 0

If 3^x =−1 find the value of x

$$\:{If}\:\:\mathrm{3}^{{x}} =−\mathrm{1}\:{find}\:{the}\:{value}\:{of}\:{x} \\ $$

Question Number 191199 Answers: 1 Comments: 1

Question Number 191192 Answers: 1 Comments: 1

Question Number 191191 Answers: 3 Comments: 0

Question Number 191188 Answers: 1 Comments: 0

∫ (((2−x)/(1−x)))^(1/4) dx =?

$$\:\:\:\:\:\:\:\:\:\:\:\int\:\sqrt[{\mathrm{4}}]{\frac{\mathrm{2}−\mathrm{x}}{\mathrm{1}−\mathrm{x}}}\:\mathrm{dx}\:=?\: \\ $$

Question Number 191187 Answers: 0 Comments: 1

prove that 1: lim_(x→0) ((x−tanx)/x^3 )=((−1)/3) 2: lim_(x→0) ((x−tan^(−1) x)/x^3 )=(1/3)

$${prove}\:{that} \\ $$$$\mathrm{1}:\:\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{{x}−{tanx}}{{x}^{\mathrm{3}} }=\frac{−\mathrm{1}}{\mathrm{3}} \\ $$$$\mathrm{2}:\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{{x}−{tan}^{−\mathrm{1}} {x}}{{x}^{\mathrm{3}} }=\frac{\mathrm{1}}{\mathrm{3}} \\ $$

Question Number 191177 Answers: 1 Comments: 0

Find the coefficient of x^(18 ) in expression (1+ x^3 + x^5 + x^7 )^(100) .

$$\mathrm{Find}\:\:\mathrm{the}\:\:\mathrm{coefficient}\:\:\mathrm{of}\:\:{x}^{\mathrm{18}\:} \:\:\mathrm{in}\:\:\mathrm{expression}\:\: \\ $$$$\left(\mathrm{1}+\:{x}^{\mathrm{3}} \:+\:{x}^{\mathrm{5}} \:+\:{x}^{\mathrm{7}} \right)^{\mathrm{100}} \:\:. \\ $$

Question Number 191169 Answers: 1 Comments: 0

Question Number 191168 Answers: 1 Comments: 0

Question Number 191167 Answers: 0 Comments: 0

Question Number 191166 Answers: 0 Comments: 0

Question Number 191165 Answers: 0 Comments: 0

Question Number 191155 Answers: 1 Comments: 0

Question Number 191149 Answers: 3 Comments: 3

The number of solutions of ∣x+3∣+∣x−2∣+3sinx−3=0 is

$${The}\:{number}\:{of}\:{solutions}\:{of} \\ $$$$\mid{x}+\mathrm{3}\mid+\mid{x}−\mathrm{2}\mid+\mathrm{3}{sinx}−\mathrm{3}=\mathrm{0}\:{is} \\ $$

Question Number 191148 Answers: 0 Comments: 0

Question Number 191147 Answers: 0 Comments: 0

Question Number 191146 Answers: 0 Comments: 0

Question Number 191144 Answers: 1 Comments: 0

Question Number 191143 Answers: 1 Comments: 0

Question Number 191142 Answers: 0 Comments: 0

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