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AlgebraQuestion and Answers: Page 268

Question Number 83590    Answers: 0   Comments: 3

transform the ellipse (x^2 /a^2 )+(y^2 /b^2 )=1 to the polar equation r= ((a(1−e^2 ))/(1+ecosθ)) a: semimajor axis e: eccentricity

transformtheellipsex2a2+y2b2=1tothepolarequationr=a(1e2)1+ecosθa:semimajoraxise:eccentricity

Question Number 83570    Answers: 2   Comments: 3

Find the locus of a point which moves such that its distance from the line y = 4 is a constant k.

Findthelocusofapointwhichmovessuchthatitsdistancefromtheliney=4isaconstantk.

Question Number 83554    Answers: 1   Comments: 0

Question Number 83543    Answers: 1   Comments: 2

Question Number 83542    Answers: 2   Comments: 0

Question Number 83621    Answers: 2   Comments: 1

∣ x+(1/x)∣ < 4 find the solution

x+1x<4findthesolution

Question Number 83512    Answers: 1   Comments: 0

find the solution ((4x^2 )/((1−(√(2x+1)))^2 )) < 2x+9

findthesolution4x2(12x+1)2<2x+9

Question Number 83477    Answers: 0   Comments: 1

a^b +b^a =1 a=? , b=? a≠b≠0

ab+ba=1a=?,b=?ab0

Question Number 83473    Answers: 1   Comments: 0

solve in R sin(πln(x))+cos(πln(x))=1

solveinRsin(πln(x))+cos(πln(x))=1

Question Number 83378    Answers: 0   Comments: 2

x+y+z=1 x^2 +y^2 +z^2 =2 x^3 +y^3 +z^3 =3 find x^4 +y^4 +z^4 =?

x+y+z=1x2+y2+z2=2x3+y3+z3=3findx4+y4+z4=?

Question Number 83373    Answers: 0   Comments: 4

Question Number 83372    Answers: 0   Comments: 1

Question Number 83370    Answers: 0   Comments: 3

Question Number 83341    Answers: 1   Comments: 1

Find the maximum and minimum of the expression 𝚺_(i=1) ^n a_i x_i with 𝚺_(i=1) ^n (x_i −b_i )^2 =c^2 , where a_i , b_i and c are constants. (extracted and modified from Q83331)

FindthemaximumandminimumDouble subscripts: use braces to clarifyni=1(xibi)2=c2,whereai,biandcareconstants.(extractedandmodifiedfromQ83331)

Question Number 83264    Answers: 1   Comments: 2

Question Number 83262    Answers: 1   Comments: 0

Question Number 83229    Answers: 0   Comments: 4

Question Number 83050    Answers: 0   Comments: 1

Question Number 83049    Answers: 0   Comments: 0

Question Number 82991    Answers: 1   Comments: 2

Question Number 82952    Answers: 1   Comments: 0

Show that: y + (√(y^2 − 1)) ≥ 1 and 0 < y − (√(y^2 − 1)) ≤ 1 if y ≥ 1

Showthat:y+y211and0<yy211ify1

Question Number 82897    Answers: 1   Comments: 2

Question Number 82881    Answers: 1   Comments: 2

(√(√(...(√(6561))))) = 3^8^x (60 times) find x

...6561=38x(60times)findx

Question Number 82873    Answers: 1   Comments: 2

Question Number 82843    Answers: 1   Comments: 0

show that (((1+(√3) i)^4 (1+i)^8 )/((cos100°−i sin100)^3 ))=−256

showthat(1+3i)4(1+i)8(cos100°isin100)3=256

Question Number 82877    Answers: 1   Comments: 1

1)find xy∈R 2)find x,y∈Z (x+2yi)^6 =8i

1)findxyR2)findx,yZ(x+2yi)6=8i

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