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Question Number 50892 Answers: 3 Comments: 0

solve the equation tan 3θcotθ+1=0 for 0≤θ≤180 b)show that if cos 2θ is not zero then cos 2θ+sec 2θ=2[((cos^4 θ+sin^4 θ)/(cos^4 θ−sin^4 θ))] c)find the limit of ((tan (θ/3))/(3θ)) as θ→0

$${solve}\:{the}\:{equation} \\ $$$$\mathrm{tan}\:\mathrm{3}\theta{cot}\theta+\mathrm{1}=\mathrm{0}\:{for} \\ $$$$\mathrm{0}\leqslant\theta\leqslant\mathrm{180} \\ $$$$\left.{b}\right){show}\:{that}\:{if}\:\mathrm{cos}\:\mathrm{2}\theta\:{is}\:{not}\:{zero} \\ $$$${then} \\ $$$$\mathrm{cos}\:\mathrm{2}\theta+\mathrm{sec}\:\mathrm{2}\theta=\mathrm{2}\left[\frac{\mathrm{cos}\:^{\mathrm{4}} \theta+\mathrm{sin}\:^{\mathrm{4}} \theta}{\mathrm{cos}\:^{\mathrm{4}} \theta−\mathrm{sin}\:^{\mathrm{4}} \theta}\right] \\ $$$$\left.{c}\right){find}\:{the}\:{limit}\:{of} \\ $$$$\frac{\mathrm{tan}\:\frac{\theta}{\mathrm{3}}}{\mathrm{3}\theta}\:{as}\:\theta\rightarrow\mathrm{0} \\ $$$$ \\ $$

Question Number 50835 Answers: 1 Comments: 1

Question Number 50796 Answers: 1 Comments: 1

∫1/(1+x^4 )dx=

$$\int\mathrm{1}/\left(\mathrm{1}+{x}^{\mathrm{4}} \right){dx}= \\ $$

Question Number 50764 Answers: 0 Comments: 2

Question Number 50701 Answers: 0 Comments: 0

how do we find the vertices and co vertices of an ellipse with the centre not at the origin ?

$${how}\:{do}\:{we}\:{find}\:{the}\:{vertices}\:{and}\:{co}\:{vertices}\:{of}\:{an}\:{ellipse}\:{with}\:{the}\:{centre}\:{not}\:{at}\:{the}\:{origin}\:? \\ $$

Question Number 50702 Answers: 0 Comments: 1

write the fourier series of f(x)=x 0≤x≤2

$${write}\:{the}\:{fourier}\:{series}\:{of}\: \\ $$$${f}\left({x}\right)={x}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{0}\leqslant{x}\leqslant\mathrm{2} \\ $$

Question Number 50551 Answers: 1 Comments: 0

find the real root of x−(x^3 /3)+(x^5 /(10))−(x^7 /(42))+(x^9 /(216))−(x^(11) /(1320))+……=.443 please if any simple expansion of it then plz tell me

$${find}\:{the}\:{real}\:{root}\:{of} \\ $$$${x}−\frac{{x}^{\mathrm{3}} }{\mathrm{3}}+\frac{{x}^{\mathrm{5}} }{\mathrm{10}}−\frac{{x}^{\mathrm{7}} }{\mathrm{42}}+\frac{{x}^{\mathrm{9}} }{\mathrm{216}}−\frac{{x}^{\mathrm{11}} }{\mathrm{1320}}+\ldots\ldots=.\mathrm{443} \\ $$$${please}\:{if}\:{any}\:{simple}\:{expansion}\:{of}\:{it} \\ $$$${then}\:{plz}\:{tell}\:{me} \\ $$$$ \\ $$

Question Number 50519 Answers: 3 Comments: 0

Question Number 50466 Answers: 0 Comments: 4

∫ ((cos (2t))/t^3 ) dt = ....

$$\: \\ $$$$\int\:\frac{\mathrm{cos}\:\left(\mathrm{2}{t}\right)}{{t}^{\mathrm{3}} }\:{dt}\:=\:.... \\ $$

Question Number 50439 Answers: 0 Comments: 1

prof Abdo please limit the input of question... here it is flood...

$${prof}\:{Abdo}\:{please}\:{limit}\:{the}\:{input}\:{of}\:{question}... \\ $$$${here}\:{it}\:{is}\:{flood}... \\ $$

Question Number 50424 Answers: 0 Comments: 0

convergence and calculate ∫_0 ^1 ((ln(t))/((1+t)(√(1−t^2 ))))dt

$${convergence}\:{and}\:{calculate}\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\:\frac{{ln}\left({t}\right)}{\left(\mathrm{1}+{t}\right)\sqrt{\mathrm{1}−{t}^{\mathrm{2}} }}{dt} \\ $$

Question Number 50299 Answers: 1 Comments: 7

please help me solve these two questions 1. A magician cuts a rope into two parts at a point selected at random. what is the probability that the length of the longer rope is at least 8 times the length of the shorter rope. 2. find the sum of co−efficient of thebinomial expansion of (4x−1)^(16)

$${please}\:{help}\:{me}\:{solve}\:{these}\:{two} \\ $$$${questions}\: \\ $$$$\mathrm{1}.\:{A}\:{magician}\:{cuts}\:{a}\:{rope}\:{into}\:{two}\: \\ $$$$\:\:{parts}\:{at}\:{a}\:{point}\:{selected}\:{at}\: \\ $$$${random}.\:{what}\:{is}\:{the}\:{probability}\:{that} \\ $$$${the}\:{length}\:{of}\:\:{the}\:{longer}\:\:{rope}\:{is}\:{at}\:{least}\: \\ $$$$\mathrm{8}\:{times}\:{the}\:{length}\:{of}\:{the}\:{shorter}\: \\ $$$${rope}. \\ $$$$\mathrm{2}.\:{find}\:{the}\:{sum}\:{of}\:{co}−{efficient}\:{of}\: \\ $$$${thebinomial}\:\:{expansion}\:\:{of}\:\: \\ $$$$\left(\mathrm{4}{x}−\mathrm{1}\right)^{\mathrm{16}} \\ $$$$ \\ $$

Question Number 50275 Answers: 1 Comments: 0

Question Number 50274 Answers: 2 Comments: 0

Question Number 50257 Answers: 1 Comments: 0

Question Number 49930 Answers: 1 Comments: 0

Please help me solve this question How many 4 digits number with all digits different are tbere between 1000 and 9999 such tbat the difference between the first and the last digit is plus or ninus 3.

$${Please}\:{help}\:{me}\:{solve}\:{this}\:{question} \\ $$$${How}\:{many}\:\mathrm{4}\:{digits}\:{number}\:{with}\:{all}\:\:{digits}\: \\ $$$${different}\:{are}\:{tbere}\:{between}\:\mathrm{1000}\:{and}\:\mathrm{9999} \\ $$$${such}\:{tbat}\:{the}\:{difference}\:{between}\:{the}\:{first} \\ $$$${and}\:{the}\:{last}\:{digit}\:{is}\:{plus}\:{or}\:{ninus}\:\mathrm{3}. \\ $$$$ \\ $$

Question Number 49637 Answers: 1 Comments: 0

Question Number 49594 Answers: 0 Comments: 1

How can we insert images in the editor?

$$\:\:\:\:{How}\:{can}\:{we}\:{insert}\:{images}\:{in}\:{the}\:{editor}? \\ $$

Question Number 49487 Answers: 0 Comments: 2

Find the nth term of the sequence: 5, 5, 35, 65, 275, ... Answer: 3^n − (− 2)^n ple1ase how

$$\mathrm{Find}\:\mathrm{the}\:\mathrm{nth}\:\mathrm{term}\:\mathrm{of}\:\mathrm{the}\:\mathrm{sequence}:\:\:\mathrm{5},\:\:\mathrm{5},\:\:\mathrm{35},\:\mathrm{65},\:\:\mathrm{275},\:... \\ $$$$ \\ $$$$\mathrm{Answer}:\:\:\:\:\:\mathrm{3}^{\boldsymbol{\mathrm{n}}} \:−\:\left(−\:\mathrm{2}\right)^{\boldsymbol{\mathrm{n}}} \:\:\:\:\:\:\:\:\:\:\:\:\boldsymbol{\mathrm{ple}}\mathrm{1ase}\:\mathrm{how} \\ $$

Question Number 49396 Answers: 0 Comments: 0

Here is floods of questions...number of batsman limited but bowlers are all... so pls limit your questions...if everybody posts questions who will answer... so pls limit questions...

$${Here}\:{is}\:{floods}\:{of}\:{questions}...{number}\:{of}\:{batsman} \\ $$$${limited}\:{but}\:{bowlers}\:{are}\:{all}...\:{so}\:{pls}\:{limit}\:{your} \\ $$$${questions}...{if}\:{everybody}\:{posts}\:{questions}\:{who} \\ $$$${will}\:{answer}... \\ $$$${so}\:{pls}\:{limit}\:{questions}... \\ $$

Question Number 49283 Answers: 1 Comments: 0

Question Number 49230 Answers: 0 Comments: 0

Question Number 49222 Answers: 0 Comments: 0

Question Number 49197 Answers: 0 Comments: 1

A bus travelling along a straight road at 100 km/hr and the bus conductor walks at 6 km/hr on the floor of the bus and in the same direction as the bus. Find the speed of the conductor relative to the road, and relative to the bus. If the bus conductor now walks at the same rate but in opposite direction as the bus, find his new speed relative to the road. Answers 106 km/hr , 64 km/hr , 94 km/hr

Question Number 49150 Answers: 0 Comments: 0

F=G((m_1 m_2 )/r^2 ) Explain this formula

$${F}={G}\frac{{m}_{\mathrm{1}} {m}_{\mathrm{2}} }{{r}^{\mathrm{2}} } \\ $$$${Explain}\:{this}\:{formula} \\ $$

Question Number 49126 Answers: 1 Comments: 1

prouve it existe 4 intergers a b c and d such n^2 −2 divise a^4 +b^4 +c^4 +d^4

$${prouve}\:{it}\:{existe}\:\mathrm{4}\:{intergers}\:{a}\:{b}\:{c}\:\:{and}\:\:{d}\:{such}\:{n}^{\mathrm{2}} −\mathrm{2}\:\:{divise}\:{a}^{\mathrm{4}} +{b}^{\mathrm{4}} +{c}^{\mathrm{4}} +{d}^{\mathrm{4}} \\ $$

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