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Question Number 69081 Answers: 2 Comments: 0

prove that tan ((3π)/7) −4sin (π/7) = (√7).

$${prove}\:{that} \\ $$$${tan}\:\frac{\mathrm{3}\pi}{\mathrm{7}}\:−\mathrm{4}{sin}\:\frac{\pi}{\mathrm{7}}\:=\:\sqrt{\mathrm{7}}. \\ $$

Question Number 69075 Answers: 0 Comments: 2

Question Number 69074 Answers: 0 Comments: 0

Question Number 69073 Answers: 0 Comments: 3

A man wants to shear 17 cars between his 3 children in the ratio 1:2, 1:3, 1:9 respectively.How will he go about it?

$${A}\:{man}\:{wants}\:{to}\:{shear}\:\mathrm{17}\:{cars}\:{between} \\ $$$${his}\:\mathrm{3}\:{children}\:{in}\:{the}\:{ratio}\:\mathrm{1}:\mathrm{2},\:\mathrm{1}:\mathrm{3},\:\mathrm{1}:\mathrm{9} \\ $$$${respectively}.{How}\:{will}\:{he}\:{go}\:{about}\:{it}? \\ $$

Question Number 69072 Answers: 0 Comments: 0

Question Number 69064 Answers: 1 Comments: 3

Question Number 69106 Answers: 0 Comments: 0

Question Number 69105 Answers: 0 Comments: 0

Question Number 69104 Answers: 0 Comments: 3

Question Number 69111 Answers: 1 Comments: 2

Question Number 69110 Answers: 0 Comments: 3

Evaluate ∫_(−∞) ^∞ ((cos(x))/(x^2 +1))dx

$${Evaluate}\:\int_{−\infty} ^{\infty} \frac{{cos}\left({x}\right)}{{x}^{\mathrm{2}} +\mathrm{1}}{dx} \\ $$

Question Number 69098 Answers: 1 Comments: 3

Question Number 69046 Answers: 0 Comments: 4

Question Number 69045 Answers: 2 Comments: 0

Question Number 69034 Answers: 2 Comments: 0

Question Number 69044 Answers: 1 Comments: 0

1) let f(a) =∫(√(a+tanx))dx with a>0 find a explicit form for f(x) 2) find also g(a) =∫ (dx/(√(a+tanx))) 3)calculate ∫(√(2+tanx))dx and ∫ (dx/(√(2+tanx)))

$$\left.\mathrm{1}\right)\:{let}\:{f}\left({a}\right)\:=\int\sqrt{{a}+{tanx}}{dx}\:\:{with}\:{a}>\mathrm{0} \\ $$$${find}\:{a}\:{explicit}\:{form}\:{for}\:{f}\left({x}\right) \\ $$$$\left.\mathrm{2}\right)\:{find}\:{also}\:{g}\left({a}\right)\:=\int\:\:\frac{{dx}}{\sqrt{{a}+{tanx}}} \\ $$$$\left.\mathrm{3}\right){calculate}\:\int\sqrt{\mathrm{2}+{tanx}}{dx}\:{and}\:\int\:\:\frac{{dx}}{\sqrt{\mathrm{2}+{tanx}}} \\ $$

Question Number 69027 Answers: 1 Comments: 2

Question Number 69020 Answers: 0 Comments: 1

if z=(2+3i/3−(√(−4)))^(17) by using demover find (z−1)^(−5) pleas sir help me ?

$${if}\:{z}=\left(\mathrm{2}+\mathrm{3}{i}/\mathrm{3}−\sqrt{−\mathrm{4}}\right)^{\mathrm{17}} \:{by}\:{using}\:{demover}\:{find}\:\left({z}−\mathrm{1}\right)^{−\mathrm{5}} \: \\ $$$${pleas}\:{sir}\:{help}\:{me}\:? \\ $$

Question Number 69014 Answers: 1 Comments: 0

a) ∫∣ x^2 +2x + 1∣dx b) ∫_0 ^4 ∣x^2 +3x−2∣dx

$$\left.{a}\right)\:\:\:\int\mid\:{x}^{\mathrm{2}} +\mathrm{2}{x}\:+\:\mathrm{1}\mid{dx} \\ $$$$\left.{b}\right)\:\int_{\mathrm{0}} ^{\mathrm{4}} \mid{x}^{\mathrm{2}} +\mathrm{3}{x}−\mathrm{2}\mid{dx} \\ $$

Question Number 69010 Answers: 0 Comments: 8

To Tinku Tara, The Developer Sir, You′re going to update this, useful in real sense, precious app. Taking advantage of this opportunity I suggest some revolutionary changes if they′re possible for you. •HIDE/UNHIDE DETALS. It′s very useful to hide some details of an answer for authers in order to offer overall view.If the reader wants these details they can unhide these by clicking some symbol(small triangles etc).Can we expect this feature? •HYPERLINK FACILITY. Some posts contain reference to some other questions.Is it possible to make these question numbers hyperlinks in order to reach these questions directly and come back? •REPLACING A SYMBOL BY AN EXPRESSION. At sometimes the auther needs to replace some symbol/expression by an other symbol/expression in whole document or some portion of it. Pl consider this if it′s not very difficult for you. Forum-friends can request some other features.

$${To}\:{Tinku}\:{Tara},\:{The}\:{Developer} \\ $$$${Sir}, \\ $$$$\:\:\:\:\:\:\:\:\:{You}'{re}\:{going}\:{to}\:{update}\:{this}, \\ $$$$\boldsymbol{{useful}}\:\boldsymbol{{in}}\:\boldsymbol{{real}}\:\boldsymbol{{sense}},\:{precious}\:{app}. \\ $$$${Taking}\:{advantage}\:{of}\:{this}\:{opportunity} \\ $$$${I}\:{suggest}\:{some}\:{revolutionary}\: \\ $$$${changes}\:{if}\:{they}'{re}\:{possible}\:{for}\:{you}. \\ $$$$\bullet{HIDE}/{UNHIDE}\:{DETALS}. \\ $$$${It}'{s}\:{very}\:{useful}\:{to}\:{hide}\:{some}\:{details} \\ $$$${of}\:{an}\:{answer}\:{for}\:{authers}\:{in}\:{order}\:{to}\: \\ $$$${offer}\:{overall}\:{view}.{If}\:{the}\:{reader} \\ $$$${wants}\:{these}\:{details}\:{they}\:{can}\:{unhide} \\ $$$${these}\:{by}\:{clicking}\:{some}\:{symbol}\left({small}\right. \\ $$$$\left.{triangles}\:{etc}\right).{Can}\:{we}\:{expect}\:{this} \\ $$$${feature}? \\ $$$$\bullet{HYPERLINK}\:{FACILITY}. \\ $$$${Some}\:{posts}\:{contain}\:{reference}\:{to} \\ $$$${some}\:{other}\:{questions}.{Is}\:{it}\:{possible} \\ $$$${to}\:{make}\:{these}\:{question}\:{numbers} \\ $$$$\boldsymbol{{hyperlinks}}\:{in}\:{order}\:{to}\:{reach} \\ $$$${these}\:{questions}\:{directly}\:{and}\:{come} \\ $$$${back}? \\ $$$$\bullet{REPLACING}\:{A}\:{SYMBOL} \\ $$$$\:\:\:{BY}\:{AN}\:{EXPRESSION}. \\ $$$${At}\:{sometimes}\:{the}\:{auther}\:{needs} \\ $$$${to}\:{replace}\:{some}\:{symbol}/{expression} \\ $$$${by}\:{an}\:{other}\:{symbol}/{expression}\:{in} \\ $$$${whole}\:{document}\:{or}\:{some}\:{portion}\:{of} \\ $$$${it}.\:{Pl}\:{consider}\:{this}\:{if}\:{it}'{s}\:{not}\:{very} \\ $$$${difficult}\:{for}\:{you}. \\ $$$${Forum}-{friends}\:{can}\:{request}\:{some} \\ $$$${other}\:{features}. \\ $$

Question Number 68991 Answers: 1 Comments: 0

if the range of f(x, y) = sec^(−1) (x+(1/x))+sec^(−1) (y+(1/y)), xy<0 is (a, b) and (a+b) equals ((λπ)/(10)), then λ is eqal to

$${if}\:{the}\:{range}\:{of}\:{f}\left({x},\:{y}\right)\:=\:{sec}^{−\mathrm{1}} \left({x}+\frac{\mathrm{1}}{{x}}\right)+{sec}^{−\mathrm{1}} \left({y}+\frac{\mathrm{1}}{{y}}\right),\:{xy}<\mathrm{0}\:{is}\:\left({a},\:{b}\right)\:{and}\:\left({a}+{b}\right)\:{equals}\:\frac{\lambda\pi}{\mathrm{10}},\:{then}\:\lambda\:{is}\:{eqal}\:{to}\: \\ $$

Question Number 69174 Answers: 0 Comments: 3

find the value of lim((1+cosx)/(tan^(2x) )) x−^ ⇈

$${find}\:{the}\:{value}\:{of}\: \\ $$$${lim}\frac{\mathrm{1}+{cosx}}{{tan}^{\mathrm{2}{x}} } \\ $$$${x}\hat {−}\upuparrows \\ $$

Question Number 69173 Answers: 0 Comments: 0

Question Number 68977 Answers: 1 Comments: 4

Question Number 68970 Answers: 1 Comments: 0

∫((3t^2 )/((1+t)^(15) )) dt

$$\int\frac{\mathrm{3}{t}^{\mathrm{2}} }{\left(\mathrm{1}+{t}\right)^{\mathrm{15}} }\:{dt} \\ $$

Question Number 68967 Answers: 1 Comments: 0

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