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Question Number 85322 Answers: 0 Comments: 10

please help me to solve this in N A_n ^2 −3C_n ^( n−2) +n=−20

$${please}\:{help}\:{me}\:{to}\:{solve}\:{this}\:{in}\:\mathbb{N} \\ $$$${A}_{{n}} ^{\mathrm{2}} −\mathrm{3}{C}_{{n}} ^{\:{n}−\mathrm{2}} +{n}=−\mathrm{20} \\ $$

Question Number 85319 Answers: 1 Comments: 0

∫((2+u)/(−u^2 −u))du

$$\int\frac{\mathrm{2}+\mathrm{u}}{−\mathrm{u}^{\mathrm{2}} −\mathrm{u}}\mathrm{du} \\ $$

Question Number 85318 Answers: 0 Comments: 1

Question Number 85315 Answers: 0 Comments: 1

The largest interval in which x lies satisfying x^(12) −x^9 +x^4 −x+1>0 is

$$\mathrm{The}\:\mathrm{largest}\:\mathrm{interval}\:\mathrm{in}\:\mathrm{which}\:{x}\:\mathrm{lies} \\ $$$$\mathrm{satisfying}\:{x}^{\mathrm{12}} −{x}^{\mathrm{9}} +{x}^{\mathrm{4}} −{x}+\mathrm{1}>\mathrm{0}\:\mathrm{is} \\ $$

Question Number 85313 Answers: 1 Comments: 0

tan^2 (20^o ) + tan^2 (40^o )+ tan^2 (80^o ) =

$$\mathrm{tan}\:^{\mathrm{2}} \left(\mathrm{20}^{\mathrm{o}} \right)\:+\:\mathrm{tan}\:^{\mathrm{2}} \left(\mathrm{40}^{\mathrm{o}} \right)+\:\mathrm{tan}\:^{\mathrm{2}} \left(\mathrm{80}^{\mathrm{o}} \right)\:= \\ $$

Question Number 85298 Answers: 2 Comments: 2

Find the symmetry axes (if any) of the following curve: x^2 +y^2 −2xy+2x−8y−2=0

$${Find}\:{the}\:{symmetry}\:{axes}\:\left({if}\:{any}\right)\:{of} \\ $$$${the}\:{following}\:{curve}: \\ $$$${x}^{\mathrm{2}} +{y}^{\mathrm{2}} −\mathrm{2}{xy}+\mathrm{2}{x}−\mathrm{8}{y}−\mathrm{2}=\mathrm{0} \\ $$

Question Number 85293 Answers: 2 Comments: 1

lim_(x→0^+ ) (√(1/x))−(√((1/(2x))−2020)) ?

$$\underset{{x}\rightarrow\mathrm{0}^{+} \:} {\mathrm{lim}}\:\sqrt{\frac{\mathrm{1}}{\mathrm{x}}}−\sqrt{\frac{\mathrm{1}}{\mathrm{2x}}−\mathrm{2020}}\:? \\ $$

Question Number 85286 Answers: 0 Comments: 2

Question Number 85280 Answers: 1 Comments: 0

∫_( 0) ^1 cot^(−1) (1−x+x^2 ) dx =

$$\:\underset{\:\mathrm{0}} {\overset{\mathrm{1}} {\int}}\:\mathrm{cot}^{−\mathrm{1}} \left(\mathrm{1}−{x}+{x}^{\mathrm{2}} \right)\:{dx}\:= \\ $$

Question Number 85279 Answers: 3 Comments: 0

who can help write out the mechanism for the reaction C_6 H_6 →_(HNO_3 ) ^(H_2 SO_4 ) C_6 H_5 NO_2

$$\mathrm{who}\:\mathrm{can}\:\mathrm{help}\:\mathrm{write}\:\mathrm{out}\:\mathrm{the}\:\mathrm{mechanism}\:\mathrm{for}\:\mathrm{the}\: \\ $$$$\mathrm{reaction} \\ $$$$\:\:\:\mathrm{C}_{\mathrm{6}} \mathrm{H}_{\mathrm{6}} \:\underset{\mathrm{HNO}_{\mathrm{3}} } {\overset{\mathrm{H}_{\mathrm{2}} \mathrm{SO}_{\mathrm{4}} } {\rightarrow}}\:\:\mathrm{C}_{\mathrm{6}} \mathrm{H}_{\mathrm{5}} \mathrm{NO}_{\mathrm{2}} \\ $$

Question Number 85262 Answers: 1 Comments: 6

find the centre of symmetry of the curve y = (1/(x + 2))

$$\mathrm{find}\:\mathrm{the}\:\mathrm{centre}\:\mathrm{of}\:\mathrm{symmetry}\:\mathrm{of}\:\mathrm{the}\:\mathrm{curve} \\ $$$$\:\:\:{y}\:=\:\frac{\mathrm{1}}{{x}\:+\:\mathrm{2}} \\ $$

Question Number 85261 Answers: 2 Comments: 1

Find the value of (1+(√(−3)))^(3/4) help please

$$\mathrm{Find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\left(\mathrm{1}+\sqrt{−\mathrm{3}}\right)^{\frac{\mathrm{3}}{\mathrm{4}}} \\ $$$$ \\ $$$$\mathrm{help}\:\mathrm{please} \\ $$

Question Number 85260 Answers: 1 Comments: 1

Evaluate using cauchy′s integral ∫_c (e^(iπ) /((z^2 +4)^2 (z+1)^2 ))dz where c is a circle with ∣z−i∣=3.5 help please

$$\mathrm{Evaluate}\:\mathrm{using}\:\mathrm{cauchy}'\mathrm{s}\:\mathrm{integral}\: \\ $$$$\:\:\:\:\:\:\:\:\:\int_{\mathrm{c}} \:\frac{\mathrm{e}^{\mathrm{i}\pi} }{\left(\mathrm{z}^{\mathrm{2}} +\mathrm{4}\right)^{\mathrm{2}} \left(\mathrm{z}+\mathrm{1}\right)^{\mathrm{2}} }\mathrm{dz} \\ $$$$\mathrm{where}\:\mathrm{c}\:\mathrm{is}\:\mathrm{a}\:\mathrm{circle}\:\mathrm{with}\:\mid\mathrm{z}−\mathrm{i}\mid=\mathrm{3}.\mathrm{5} \\ $$$$ \\ $$$$\mathrm{help}\:\mathrm{please} \\ $$

Question Number 85256 Answers: 0 Comments: 3

∫ _0 ^( 1) ((sin (ln x))/(ln (x))) dx

$$\int\underset{\mathrm{0}} {\overset{\:\mathrm{1}} {\:}}\:\frac{\mathrm{sin}\:\left(\mathrm{ln}\:\mathrm{x}\right)}{\mathrm{ln}\:\left(\mathrm{x}\right)}\:\mathrm{dx}\: \\ $$

Question Number 85254 Answers: 0 Comments: 0

Question Number 85250 Answers: 0 Comments: 0

Find the general and singular solution of (i). y= px + p^n (ii). (x−a)p^2 +(x−y)p−y=0

$$\:\boldsymbol{\mathrm{Find}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{general}}\:\boldsymbol{\mathrm{and}}\:\boldsymbol{\mathrm{singular}}\:\boldsymbol{\mathrm{solution}}\:\boldsymbol{\mathrm{of}}\: \\ $$$$\:\left(\mathrm{i}\right).\:\boldsymbol{\mathrm{y}}=\:\boldsymbol{\mathrm{px}}\:+\:\boldsymbol{\mathrm{p}}^{\boldsymbol{\mathrm{n}}} \\ $$$$\left(\mathrm{ii}\right).\:\left(\boldsymbol{\mathrm{x}}−\boldsymbol{\mathrm{a}}\right)\boldsymbol{\mathrm{p}}^{\mathrm{2}} +\left(\boldsymbol{\mathrm{x}}−\boldsymbol{\mathrm{y}}\right)\boldsymbol{\mathrm{p}}−\boldsymbol{\mathrm{y}}=\mathrm{0} \\ $$$$\: \\ $$

Question Number 85249 Answers: 0 Comments: 0

Question Number 85248 Answers: 0 Comments: 1

find minimum y = 2∣x−3∣ + ∣4x+2∣

$$\mathrm{find}\:\mathrm{minimum} \\ $$$$\mathrm{y}\:=\:\mathrm{2}\mid\mathrm{x}−\mathrm{3}\mid\:+\:\mid\mathrm{4x}+\mathrm{2}\mid\: \\ $$

Question Number 85241 Answers: 1 Comments: 0

Question Number 85240 Answers: 0 Comments: 0

Question Number 85238 Answers: 1 Comments: 0

f(x) = x^3 + 3x f^(−1) (x) = ?

$${f}\left({x}\right)\:\:=\:\:{x}^{\mathrm{3}} \:+\:\mathrm{3}{x} \\ $$$${f}\:^{−\mathrm{1}} \left({x}\right)\:\:=\:\:? \\ $$

Question Number 85236 Answers: 1 Comments: 1

find f(x) if f ′(x) + f(x^2 ) = 2x+1

$$\mathrm{find}\:\mathrm{f}\left(\mathrm{x}\right)\:\mathrm{if}\: \\ $$$$\mathrm{f}\:'\left(\mathrm{x}\right)\:+\:\mathrm{f}\left(\mathrm{x}^{\mathrm{2}} \right)\:=\:\mathrm{2x}+\mathrm{1} \\ $$

Question Number 85233 Answers: 0 Comments: 1

what is domain of x for f(x)+2f(1−x)= x^2

$$\mathrm{what}\:\mathrm{is}\:\mathrm{domain}\:\:\mathrm{of}\:\mathrm{x}\:\mathrm{for} \\ $$$$\mathrm{f}\left(\mathrm{x}\right)+\mathrm{2f}\left(\mathrm{1}−\mathrm{x}\right)=\:\mathrm{x}^{\mathrm{2}} \\ $$

Question Number 85228 Answers: 0 Comments: 2

Question Number 85224 Answers: 0 Comments: 7

solve in N (n−4)!=42(n−2)!

$${solve}\:{in}\:\mathbb{N} \\ $$$$\left({n}−\mathrm{4}\right)!=\mathrm{42}\left({n}−\mathrm{2}\right)! \\ $$

Question Number 85222 Answers: 0 Comments: 3

In C++ What is the sections doing ? and What is the output from the sections below ? a. int p=o; for (int i=1; i<=30; i++){ if (i%5==0) p+=i; } cout<<p<<endl; b. int count=2; int g=0; while (count<=50){ g=count; cout<<g<<endl; count +=2; } cout<<count<<endl;

$$\mathrm{In}\:\mathrm{C}++ \\ $$$$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{sections}\:\mathrm{doing}\:?\:\mathrm{and} \\ $$$$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{output}\:\mathrm{from}\:\mathrm{the}\:\mathrm{sections}\: \\ $$$$\mathrm{below}\:? \\ $$$$\mathrm{a}.\:\mathrm{int}\:\mathrm{p}=\mathrm{o}; \\ $$$$\:\:\:\:\:\mathrm{for}\:\left(\mathrm{int}\:\mathrm{i}=\mathrm{1};\:\mathrm{i}<=\mathrm{30};\:\mathrm{i}++\right)\left\{\right. \\ $$$$\:\:\:\:\:\mathrm{if}\:\left(\mathrm{i\%5}==\mathrm{0}\right) \\ $$$$\:\:\:\:\:\:\mathrm{p}+=\mathrm{i};\:\: \\ $$$$\left.\:\:\:\:\:\:\:\right\} \\ $$$$\:\:\:\:\:\:\:\mathrm{cout}<<\mathrm{p}<<\mathrm{endl}; \\ $$$$ \\ $$$$ \\ $$$$\mathrm{b}.\:\:\mathrm{int}\:\mathrm{count}=\mathrm{2}; \\ $$$$\:\:\:\:\:\:\mathrm{int}\:\mathrm{g}=\mathrm{0}; \\ $$$$\:\:\:\:\:\:\mathrm{while}\:\left(\mathrm{count}<=\mathrm{50}\right)\left\{\right. \\ $$$$\:\:\:\:\:\:\mathrm{g}=\mathrm{count}; \\ $$$$\:\:\:\:\:\:\mathrm{cout}<<\mathrm{g}<<\mathrm{endl}; \\ $$$$\:\:\:\:\:\:\mathrm{count}\:+=\mathrm{2}; \\ $$$$\left.\:\:\:\:\:\:\:\right\} \\ $$$$\:\:\:\:\:\:\:\mathrm{cout}<<\mathrm{count}<<\mathrm{endl}; \\ $$

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