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Question Number 172989 Answers: 1 Comments: 0

calcul: R=+oo Σ_(n=o) ^(+oo) ((2n)/((2n+1)!))x^n

$${calcul}:\:{R}=+{oo}\: \\ $$$$\underset{{n}={o}} {\overset{+{oo}} {\sum}}\frac{\mathrm{2}{n}}{\left(\mathrm{2}{n}+\mathrm{1}\right)!}{x}^{{n}} \\ $$

Question Number 172984 Answers: 1 Comments: 0

Question Number 181400 Answers: 0 Comments: 2

Question Number 172973 Answers: 1 Comments: 0

∫_0 ^( ∞) (( 1)/((1+ x^( 4) ) (1+ x^( 6) )))dx=((p(√2) −q)/(12)) π p , q=?

$$ \\ $$$$\int_{\mathrm{0}} ^{\:\infty} \frac{\:\mathrm{1}}{\left(\mathrm{1}+\:{x}^{\:\mathrm{4}} \right)\:\left(\mathrm{1}+\:{x}^{\:\mathrm{6}} \right)}{dx}=\frac{{p}\sqrt{\mathrm{2}}\:−{q}}{\mathrm{12}}\:\pi \\ $$$$\:\:\:{p}\:,\:\:{q}=? \\ $$$$ \\ $$

Question Number 181394 Answers: 1 Comments: 0

Question Number 172956 Answers: 0 Comments: 2

Question Number 172953 Answers: 2 Comments: 0

find ∫_0 ^1 (√(1−x^4 ))lnx dx

$${find}\:\int_{\mathrm{0}} ^{\mathrm{1}} \sqrt{\mathrm{1}−{x}^{\mathrm{4}} }{lnx}\:{dx} \\ $$

Question Number 172949 Answers: 0 Comments: 0

Question Number 172948 Answers: 1 Comments: 6

Question Number 172947 Answers: 1 Comments: 0

Question Number 172944 Answers: 1 Comments: 1

∫∫_d dxdy x=y^2 −1 x=1−y D=?

$$\int\int_{{d}} {dxdy}\:\:\:\:\:\:{x}={y}^{\mathrm{2}} −\mathrm{1}\:\:\:\:\:\:{x}=\mathrm{1}−{y} \\ $$$${D}=? \\ $$

Question Number 172929 Answers: 0 Comments: 1

A man purchased 180 copies of a book at $250.00 each. He sold y copies at $300.00 each and the rest at a discount of 5 cents in the dollar of the cost price. If he made a profit of $7,125.00,find the value of y?

$$\mathrm{A}\:\mathrm{man}\:\mathrm{purchased}\:\mathrm{180}\:\mathrm{copies}\:\mathrm{of}\:\mathrm{a}\:\mathrm{book} \\ $$$$\mathrm{at}\:\$\mathrm{250}.\mathrm{00}\:\boldsymbol{\mathrm{each}}.\:\mathrm{He}\:\mathrm{sold}\:{y}\:\mathrm{copies}\:\mathrm{at}\:\$\mathrm{300}.\mathrm{00} \\ $$$$\mathrm{each}\:\mathrm{and}\:\mathrm{the}\:\mathrm{rest}\:\mathrm{at}\:\mathrm{a}\:\mathrm{discount}\:\mathrm{of}\:\mathrm{5}\:\mathrm{cents}\:\mathrm{in}\:\mathrm{the} \\ $$$$\mathrm{dollar}\:\mathrm{of}\:\mathrm{the}\:\mathrm{cost}\:\mathrm{price}.\:\mathrm{If}\:\mathrm{he}\:\mathrm{made}\:\mathrm{a}\:\mathrm{profit} \\ $$$$\mathrm{of}\:\$\mathrm{7},\mathrm{125}.\mathrm{00},\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:{y}? \\ $$

Question Number 172923 Answers: 0 Comments: 0

Question Number 172918 Answers: 0 Comments: 9

Question Number 172915 Answers: 3 Comments: 1

Question Number 172913 Answers: 2 Comments: 0

lim_(x→∞) ((√(x^2 +2x+3))−(√(x^2 +3)) )^x =?

$$\:\:\:\:\:\:\underset{{x}\rightarrow\infty} {\mathrm{lim}}\:\left(\sqrt{{x}^{\mathrm{2}} +\mathrm{2}{x}+\mathrm{3}}−\sqrt{{x}^{\mathrm{2}} +\mathrm{3}}\:\right)^{{x}} \:=? \\ $$

Question Number 172912 Answers: 1 Comments: 0

Question Number 172910 Answers: 1 Comments: 0

lim_(x→1) ((e−x^(1/(x−1)) )/(x−1))=?

$$\underset{{x}\rightarrow\mathrm{1}} {\mathrm{lim}}\frac{\mathrm{e}−\mathrm{x}^{\frac{\mathrm{1}}{\mathrm{x}−\mathrm{1}}} }{\mathrm{x}−\mathrm{1}}=? \\ $$

Question Number 172901 Answers: 0 Comments: 10

have you noticed? recently the Euclid was here. the small Einstein was here. Euler the second was here. the small Laplace was here. who else?

$${have}\:{you}\:{noticed}? \\ $$$${recently} \\ $$$${the}\:\boldsymbol{{Euclid}}\:{was}\:{here}. \\ $$$${the}\:{small}\:\boldsymbol{{Einstein}}\:{was}\:{here}. \\ $$$$\boldsymbol{{Euler}}\:{the}\:{second}\:{was}\:{here}. \\ $$$${the}\:{small}\:\boldsymbol{{Laplace}}\:{was}\:{here}. \\ $$$${who}\:{else}? \\ $$

Question Number 172899 Answers: 0 Comments: 0

∫_0 ^∞ e^(−e^x ) (√x) dx=?

$$\int_{\mathrm{0}} ^{\infty} {e}^{−{e}^{{x}} } \sqrt{{x}}\:{dx}=? \\ $$

Question Number 172891 Answers: 0 Comments: 4

Question Number 172889 Answers: 0 Comments: 0

∫_0 ^∞ tanh^(−1) (sinh(x))dx small laplace

$$\int_{\mathrm{0}} ^{\infty} \boldsymbol{\mathrm{tanh}}^{−\mathrm{1}} \left(\boldsymbol{\mathrm{sinh}}\left(\boldsymbol{\mathrm{x}}\right)\right)\boldsymbol{\mathrm{dx}} \\ $$$$\boldsymbol{\mathrm{small}}\:\boldsymbol{\mathrm{laplace}} \\ $$

Question Number 172892 Answers: 0 Comments: 0

Question Number 172878 Answers: 1 Comments: 1

Question Number 172872 Answers: 4 Comments: 0

lim_( x→ 0^+ ) (x^( (1/(ln(xsin(x^3 ))))) )=?

$$ \\ $$$$\:\:\:\:\:\mathrm{lim}_{\:{x}\rightarrow\:\mathrm{0}^{+} } \left({x}^{\:\frac{\mathrm{1}}{\mathrm{l}{n}\left({xsin}\left({x}^{\mathrm{3}} \right)\right)}} \right)=? \\ $$$$ \\ $$$$ \\ $$

Question Number 172862 Answers: 0 Comments: 5

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