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AllQuestion and Answers: Page 1352

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

Question Number 68966 Answers: 0 Comments: 4

Question Number 68965 Answers: 0 Comments: 2

Question Number 68964 Answers: 0 Comments: 1

Question Number 68962 Answers: 0 Comments: 4

Question Number 68961 Answers: 1 Comments: 0

Question Number 68960 Answers: 0 Comments: 3

Question Number 68956 Answers: 0 Comments: 0

Question Number 68952 Answers: 1 Comments: 0

Question Number 68947 Answers: 0 Comments: 0

please utilise cette fonction to show that N∗N is denombrable f:N⊛N→N (x,y)∣→(((x+y)(x+y+1))/2)+y montrer que f est bijective Please help

$$\mathrm{please} \\ $$$$\mathrm{utilise}\:\mathrm{cette}\:\mathrm{fonction}\:\mathrm{to}\: \\ $$$$\mathrm{sh}\boldsymbol{\mathrm{ow}}\:\boldsymbol{\mathrm{that}}\:\boldsymbol{\mathrm{N}}\ast\boldsymbol{\mathrm{N}}\:\boldsymbol{\mathrm{is}}\:\boldsymbol{\mathrm{denombrable}} \\ $$$$\:\mathrm{f}:\boldsymbol{\mathrm{N}}\circledast\boldsymbol{\mathrm{N}}\rightarrow\boldsymbol{\mathrm{N}} \\ $$$$\:\:\:\:\left(\mathrm{x},\mathrm{y}\right)\shortmid\rightarrow\frac{\left(\mathrm{x}+\mathrm{y}\right)\left(\mathrm{x}+\mathrm{y}+\mathrm{1}\right)}{\mathrm{2}}+\mathrm{y} \\ $$$$\mathrm{montrer}\:\mathrm{que}\:\mathrm{f}\:\mathrm{est}\:\mathrm{bijective} \\ $$$$\:\:\:\boldsymbol{\mathrm{P}}\mathrm{lease}\:\mathrm{help} \\ $$$$ \\ $$$$\:\:\:\:\:\: \\ $$

Question Number 68946 Answers: 0 Comments: 1

Question Number 68941 Answers: 3 Comments: 3

Question Number 68935 Answers: 2 Comments: 0

Find all values for x: (x^2 −7x+11)^(x^2 −13x+42) =1 (Easy)

$${Find}\:{all}\:{values}\:{for}\:\boldsymbol{{x}}: \\ $$$$\left({x}^{\mathrm{2}} −\mathrm{7}{x}+\mathrm{11}\right)^{{x}^{\mathrm{2}} −\mathrm{13}{x}+\mathrm{42}} =\mathrm{1} \\ $$$$\left({Easy}\right) \\ $$

Question Number 68930 Answers: 0 Comments: 3

In the figure we have 7 circles having the same radius. Determine the ratio between the perimeter of one of the circle and the perimeter of the gray region.

$$\mathrm{In}\:\mathrm{the}\:\mathrm{figure}\:\mathrm{we}\:\mathrm{have}\:\mathrm{7}\:\mathrm{circles}\:\mathrm{having} \\ $$$$\mathrm{the}\:\mathrm{same}\:\mathrm{radius}.\:\mathrm{Determine}\:\mathrm{the}\:\mathrm{ratio} \\ $$$$\mathrm{between}\:\mathrm{the}\:\mathrm{perimeter}\:\mathrm{of}\:\mathrm{one}\:\mathrm{of}\:\mathrm{the} \\ $$$$\mathrm{circle}\:\mathrm{and}\:\mathrm{the}\:\mathrm{perimeter}\:\mathrm{of}\:\mathrm{the}\:\mathrm{gray}\:\mathrm{region}. \\ $$

Question Number 68926 Answers: 0 Comments: 0

Question Number 68925 Answers: 0 Comments: 2

Question Number 68924 Answers: 0 Comments: 0

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