Question and Answers Forum

AllQuestion and Answers: Page 1820

Question Number 25482 Answers: 1 Comments: 3

Question Number 25477 Answers: 0 Comments: 0

((1+x)/2)=x−3+(5/x) LCM=( 2)(x) multiply each step by 2x (2)(x)(((1+x)/2))=(2)(x)(x−3)+(2)(x)((5/x)) (x)(1+x)=2x(x−3)+(2)(5) x+x^2 =2x^2 −6x+10 move all equations to LHS 2x^2 −x^2 −6x−x+10=0 x^2 −5x+10=0 x=((5±(√(25−40)))/2)=((5±(√(−15)))/2)=(1/2)(5±i(√(15)))

$$\frac{\mathrm{1}+{x}}{\mathrm{2}}={x}−\mathrm{3}+\frac{\mathrm{5}}{{x}} \\ $$$${LCM}=\left(\:\mathrm{2}\right)\left({x}\right) \\ $$$${multiply}\:{each}\:{step}\:{by}\:\mathrm{2}{x} \\ $$$$ \\ $$$$\left(\mathrm{2}\right)\left({x}\right)\left(\frac{\mathrm{1}+{x}}{\mathrm{2}}\right)=\left(\mathrm{2}\right)\left({x}\right)\left({x}−\mathrm{3}\right)+\left(\mathrm{2}\right)\left({x}\right)\left(\frac{\mathrm{5}}{{x}}\right) \\ $$$$ \\ $$$$\left({x}\right)\left(\mathrm{1}+{x}\right)=\mathrm{2}{x}\left({x}−\mathrm{3}\right)+\left(\mathrm{2}\right)\left(\mathrm{5}\right)\:\:\:\:\:\:\:\:\:\:\: \\ $$$${x}+{x}^{\mathrm{2}} =\mathrm{2}{x}^{\mathrm{2}} −\mathrm{6}{x}+\mathrm{10} \\ $$$${move}\:{all}\:{equations}\:{to}\:{LHS} \\ $$$$\mathrm{2}{x}^{\mathrm{2}} −{x}^{\mathrm{2}} −\mathrm{6}{x}−{x}+\mathrm{10}=\mathrm{0} \\ $$$${x}^{\mathrm{2}} −\mathrm{5}{x}+\mathrm{10}=\mathrm{0} \\ $$$${x}=\frac{\mathrm{5}\pm\sqrt{\mathrm{25}−\mathrm{40}}}{\mathrm{2}}=\frac{\mathrm{5}\pm\sqrt{−\mathrm{15}}}{\mathrm{2}}=\frac{\mathrm{1}}{\mathrm{2}}\left(\mathrm{5}\pm{i}\sqrt{\mathrm{15}}\right) \\ $$

Question Number 25476 Answers: 1 Comments: 0

convert 1234.24_8 to base 10

$${convert}\:\mathrm{1234}.\mathrm{24}_{\mathrm{8}} \:{to}\:{base}\:\mathrm{10} \\ $$

Question Number 25475 Answers: 0 Comments: 0

Question Number 25474 Answers: 0 Comments: 0

Question Number 25472 Answers: 1 Comments: 0

slolve the definite integral∫_1^ ^2 (1/x)dxusingg> ng trapezoidal rule with 4 sub intervals hencefind an approximate value of ln 2.

$${slolve}\:{the}\:{definite}\:{integral}\int_{\mathrm{1}^{} } ^{\mathrm{2}} \frac{\mathrm{1}}{{x}}{dxusingg}>\:\:\:{ng}\: \\ $$$${trapezoidal}\:{rule}\:{with}\:\mathrm{4}\:{sub}\:{intervals}\: \\ $$$${hencefind}\:{an}\:{approximate}\:{value}\:{of}\: \\ $$$${ln}\:\mathrm{2}. \\ $$

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

Question Number 25780 Answers: 1 Comments: 0

every periodic function is differentiable.true or false justify

$${every}\:{periodic}\:{function}\:{is}\: \\ $$$${differentiable}.{true}\:{or}\:{false}\:{justify} \\ $$

Question Number 25390 Answers: 1 Comments: 0

sin 90

$$\mathrm{sin}\:\mathrm{90} \\ $$

Question Number 25387 Answers: 1 Comments: 0

∫((12x)/((2−x)(3−x)(4−x)))dx

$$\int\frac{\mathrm{12}{x}}{\left(\mathrm{2}−{x}\right)\left(\mathrm{3}−{x}\right)\left(\mathrm{4}−{x}\right)}{dx} \\ $$$$ \\ $$

Question Number 25381 Answers: 1 Comments: 0

The first term of a sequence is 1, the second is 2 and every term is the sum of the two preceding terms. The n^(th) term is.

$$\mathrm{The}\:\mathrm{first}\:\mathrm{term}\:\mathrm{of}\:\mathrm{a}\:\mathrm{sequence}\:\mathrm{is}\:\mathrm{1},\:\mathrm{the} \\ $$$$\mathrm{second}\:\mathrm{is}\:\mathrm{2}\:\mathrm{and}\:\mathrm{every}\:\mathrm{term}\:\mathrm{is}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of} \\ $$$$\mathrm{the}\:\mathrm{two}\:\mathrm{preceding}\:\mathrm{terms}.\:\mathrm{The}\:{n}^{\mathrm{th}} \:\mathrm{term} \\ $$$$\mathrm{is}. \\ $$

Pg 1815 Pg 1816 Pg 1817 Pg 1818 Pg 1819 Pg 1820 Pg 1821 Pg 1822 Pg 1823 Pg 1824

Contact: info@tinkutara.com