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AlgebraQuestion and Answers: Page 254 |
{ ((x+y+z = 7)),((x^2 +y^2 +z^2 = 49)),((x^3 +y^3 +z^3 = 7)) :} find x; y ; z |
Solve: x^2 + y^2 = 13 ....... (i) 2x^2 + 3y = 2xy^2 ....... (ii) |
solve for x, y, z ∈C such that ∣x∣=∣y∣=∣z∣=1 x+y+z=1 xyz=1 |
a_1 =−(1/(30)) a_2 =−(1/(12)) a_3 =−(1/6) a_4 =−(7/(24)) a_5 =−(7/(15)) a_6 =−(7/(10)) a_7 =−1 find a_k |
If y_(n + 1) − y_n = 6, and y_0 = 7 Find y_n |
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proof or disproof that if a quotient group (G/H) is abelian then G must be abelian. |
find such a polynomial if is divided by (x−2) then the remainder is 5, if it isdivided by (x−3) the remainder is 9, if it is divided by (x−4) the remainder is 13, if divide by (x−10) and the remaider becomes 37 and if (x−(3/4)) divided by the remainder becomes zero? |
∫(dx/(x+(√x))) (2,3)=? |
x, y ∈N\{0, 1} ∧ x≤y find z∈N with z!=x!y! |
x!(x−4)!=12(2x−7)! x=? |
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a set X had one more subset than set Y. If X has 8 more subsets than Y. Find the number if element in the set X. |
List the elements in C={x:x is an x^2 ≤4, integer} |
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if sinA+sinB=n and cosA+cosB=m then sin(A+B)=? a: ((3mn)/(m^2 +n^2 )) b:((2mn)/(m^2 +n^2 )) c:((mn)/(m^2 +n^2 )) d:((2mn)/(m+n)) with steps? |
if a^(10) +a^5 +1=0 then a^(2005) +(1/a^(2005) )=? a: a^(10) +a^(11) b:a^(10) +a^5 c:3(a^(10) +a^5 ) d:0 with steps? |
find solution in C x^4 +x^3 +x^2 +x+1 = 0 |
lim_(x→∞) ((6x^(k−2) +3x^2 +10)/(3x^5 +x+20)) then k^2 +1=? |
log_x 16+log_(16) x=log_(512) x+log_x 512 x=? |
y=x^x y^′ =? |
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If 9y^2 + (1/y^2 ) =3, then find the value of 27y^3 + (1/y^3 ) |
Pg 249 Pg 250 Pg 251 Pg 252 Pg 253 Pg 254 Pg 255 Pg 256 Pg 257 Pg 258 |