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Question Number 25468 Answers: 0 Comments: 0

Question Number 25460 Answers: 1 Comments: 2

Question Number 25457 Answers: 1 Comments: 0

Question Number 26949 Answers: 0 Comments: 2

∫_0 ^1 ∫_0 ^1 (1/(1 + xy)) dx dy

$$\underset{\mathrm{0}} {\overset{\mathrm{1}} {\int}}\:\underset{\mathrm{0}} {\overset{\mathrm{1}} {\int}}\:\frac{\mathrm{1}}{\mathrm{1}\:+\:{xy}}\:{dx}\:{dy} \\ $$

Question Number 25447 Answers: 0 Comments: 1

Question Number 25446 Answers: 0 Comments: 0

Question Number 25444 Answers: 1 Comments: 8

Question Number 25441 Answers: 1 Comments: 0

in what ratio in which y−x+2=0 divides the line joining (3,−1) and (8,9).

$${in}\:{what}\:{ratio}\:{in}\:{which}\:{y}−{x}+\mathrm{2}=\mathrm{0}\:{divides}\:{the}\:{line}\:{joining}\:\left(\mathrm{3},−\mathrm{1}\right)\:{and}\:\left(\mathrm{8},\mathrm{9}\right). \\ $$$$ \\ $$

Question Number 25425 Answers: 0 Comments: 0

Sum of series 1 + 2x + 7x^2 + 20x^3 + ... up to n terms when x = −1 is

$$\mathrm{Sum}\:\mathrm{of}\:\mathrm{series}\:\mathrm{1}\:+\:\mathrm{2}{x}\:+\:\mathrm{7}{x}^{\mathrm{2}} \:+\:\mathrm{20}{x}^{\mathrm{3}} \:+\:... \\ $$$$\mathrm{up}\:\mathrm{to}\:{n}\:\mathrm{terms}\:\mathrm{when}\:{x}\:=\:−\mathrm{1}\:\mathrm{is} \\ $$

Question Number 25462 Answers: 1 Comments: 0

Let S_n , n = 1, 2, 3... be the sum of infinite geometric series whose first term is n and the common ratio is (1/(n + 1)). Then lim_(n→∞) ((S_1 S_n + S_2 S_(n−1) + S_3 S_(n−2) ... + S_n S_1 )/(S_1 ^2 + S_2 ^2 + ... + S_n ^2 )) is

$$\mathrm{Let}\:{S}_{{n}} ,\:{n}\:=\:\mathrm{1},\:\mathrm{2},\:\mathrm{3}...\:\mathrm{be}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of} \\ $$$$\mathrm{infinite}\:\mathrm{geometric}\:\mathrm{series}\:\mathrm{whose}\:\mathrm{first} \\ $$$$\mathrm{term}\:\mathrm{is}\:{n}\:\mathrm{and}\:\mathrm{the}\:\mathrm{common}\:\mathrm{ratio}\:\mathrm{is} \\ $$$$\frac{\mathrm{1}}{{n}\:+\:\mathrm{1}}.\:\mathrm{Then} \\ $$$$\underset{{n}\rightarrow\infty} {\mathrm{lim}}\frac{{S}_{\mathrm{1}} {S}_{{n}} \:+\:{S}_{\mathrm{2}} {S}_{{n}−\mathrm{1}} \:+\:{S}_{\mathrm{3}} {S}_{{n}−\mathrm{2}} \:...\:+\:{S}_{{n}} {S}_{\mathrm{1}} }{{S}_{\mathrm{1}} ^{\mathrm{2}} \:+\:{S}_{\mathrm{2}} ^{\mathrm{2}} \:+\:...\:+\:{S}_{{n}} ^{\mathrm{2}} } \\ $$$$\mathrm{is} \\ $$

Question Number 25414 Answers: 1 Comments: 0

if 10^(10 ) electrons are removed neutral bodyb body the charge acquired by the body is? ?

$${if}\:\mathrm{10}^{\mathrm{10}\:} {electrons}\:{are}\:{removed}\:{neutral}\:{bodyb} \\ $$$${body}\:{the}\:{charge}\:{acquired}\:{by}\:{the}\:{body}\:{is}? \\ $$$$? \\ $$$$ \\ $$

Question Number 25410 Answers: 0 Comments: 0

Question Number 25407 Answers: 0 Comments: 4

Please can I get any link for downloading RD SHARMA class XI mathematics textbook. Thanks.

$${Please}\:{can}\:{I}\:{get}\:{any}\:{link}\:{for} \\ $$$${downloading}\:{RD}\:{SHARMA}\:{class} \\ $$$${XI}\:{mathematics}\:{textbook}. \\ $$$$ \\ $$$${Thanks}. \\ $$

Question Number 25397 Answers: 0 Comments: 2

Let y = f (x) f (0) = 5 f ′(x) = −3x + 2 ∫_0 ^2 f (x) dx Find the maximum value of y = f(x) .

$${Let}\:\:{y}\:\:=\:\:{f}\:\left({x}\right) \\ $$$$\:\:\:\:{f}\:\left(\mathrm{0}\right)\:\:=\:\:\mathrm{5} \\ $$$${f}\:'\left({x}\right)\:\:=\:\:−\mathrm{3}{x}\:+\:\mathrm{2}\:\underset{\mathrm{0}} {\int}\overset{\mathrm{2}} {\:}{f}\:\left({x}\right)\:{dx} \\ $$$${Find}\:\:{the}\:\:{maximum}\:\:{value}\:\:{of}\:\:\:\boldsymbol{{y}}\:\:=\:\:\boldsymbol{{f}}\left(\boldsymbol{{x}}\right)\:. \\ $$$$ \\ $$

Question Number 25431 Answers: 0 Comments: 6

App has been updated. • You can now post plain text comments including hyperlinks • chemistry and physics topics added for posting question • New symbols added please update to latest version 1.56.

$$\mathrm{App}\:\mathrm{has}\:\mathrm{been}\:\mathrm{updated}. \\ $$$$\bullet\:\mathrm{You}\:\mathrm{can}\:\mathrm{now}\:\mathrm{post}\:\mathrm{plain}\:\mathrm{text} \\ $$$$\:\:\:\:\mathrm{comments}\:\mathrm{including}\:\mathrm{hyperlinks} \\ $$$$\bullet\:\mathrm{chemistry}\:\mathrm{and}\:\mathrm{physics}\:\mathrm{topics} \\ $$$$\:\:\:\mathrm{added}\:\mathrm{for}\:\mathrm{posting}\:\mathrm{question} \\ $$$$\bullet\:\mathrm{New}\:\mathrm{symbols}\:\mathrm{added} \\ $$$$\mathrm{please}\:\mathrm{update}\:\mathrm{to}\:\mathrm{latest}\:\mathrm{version}\:\mathrm{1}.\mathrm{56}. \\ $$

Question Number 25480 Answers: 0 Comments: 0