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AlgebraQuestion and Answers: Page 312 |
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z^5 =32 find all root z |
prove that exp(((2+πi)/4))=(√(e/2))(1+i) cos (z_1 +z_2 )=cos z_1 cos z_2 −sin z_1 sin z_2 |
e^z =1−(√3)i z=.. |
f(x)=Σ_(i=0) ^(n) a_i x^i =a_n x^n +a_(n−1) x^(n−1) +a_(n−2) x^(n−2) +…+a_2 x^2 +a_1 x+a_0 f^(−1) (x)=... |
2(x^4 −2x^2 +3)(y^4 −3y^2 +4)=7 Find (x,y) . |
f(z)=((1−z)/(1+z)) u(x,y)=.. v(x,y)=.. |
solve (∣x^2 −1∣−(1/2))x+((√6)/(18))=0 |
Solve the system: { ((x^3 +x^2 y−4xy^2 −4y^3 =0)),((x^2 −2xy−3y^2 −x−y=0)) :} |
Solve in R ((59+(√(x−2))))^(1/3) +((12−(√(x−11))))^(1/3) =6 |
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a(x^2 +y^2 )+b(x+y)= c & x^2 −y^2 = R^2 Solve for x or y . |
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sin xy^2 =y^2 +2x diferential express is |
f(x)=2x^3 +x^2 −2x−1 f^(−1) (x)=... |
show that ^(^2 C_2 ) C_n = (1/((1−n)!(n−1)(n−2)(n−3)...3(2)(1))) |
solve (1+ix)^n =n with x unknown real and n integr natural . |
f(z)=((3z+1)/(2−4z)) f(f(z))=... |
z_1 =3+i z_2 =1−2i determinant ((((2z_2 +z_1 −5−i)/(2z_1 −z_2 +3−i))))^2 =.. |
((√3)−i)^(1+2i) =... |
this remained unsolved... ∣x−(3/4)∣×∣x+(5/4)∣=3; x∈C |
solve for x∈C: ∣x−(3/4)∣×∣x+(5/4)∣=3 |
((1.8×10^6 )/(tan(89.9999°))) ∼ π (upto 9 decimal places) can i have some explanations how it is worked out ? Thank you! |
Solve for n: 4^n + 2^n − 6 = (2^n − 4)^3 + (4^n − 2)^3 .... |
(a−b)^2 |
Pg 307 Pg 308 Pg 309 Pg 310 Pg 311 Pg 312 Pg 313 Pg 314 Pg 315 Pg 316 |