Question and Answers Forum
AlgebraQuestion and Answers: Page 61
|
Question and Answers Forum |
|
AlgebraQuestion and Answers: Page 61 |
|
|
|
|
|
|
| determiner rayon R |
|
|
|
|
| if a+b+c=1 find maximum ab +bc +ca a , b , c are non negative integers |
| solve |
| f(x) = x^3 +3x^2 −1 1) calcul h(X) = f(a+X) −b 2) determine a and b such that h is odd |
| ((27t73)/(11)) and R=0 then t=? how is explontry solution |
|
|
| Nice problem: Find 8 distinctive numbers ∈N\{0} such that these are simultaniously true: (1) a+b+c+d = e+f+g+h (2) a^2 +b^2 +c^2 +d^2 = e^2 +f^2 +g^2 +h^2 (3) a^3 +b^3 +c^3 +d^3 = e^3 +f^3 +g^3 +h^3 [Find a method to generate such numbers] |
|
|
| Proof : cot^(−1) ((((√(1+sint))+(√(1−sint)))/( (√(1+sint))−(√(1−sint)))))=(t/2) |
| { ((x=(√(3−(√(5+2(√3))))))),((y=(√(3+(√(5+2(√3))))))) :} x |
| Reduce to first order and solve , showing each step in detail. 1. y′′ +(y′)^3 siny=0 2. y′′=1+(y′)^2 |
| y = 4 × 10^(2x) Express x in terms of y, giving an exact simplified answer in terms of log base 10. |
|
|
| (√(4x−3))−(√(2x−5))=2 solve for x |
| Prove that a group G of prime order is cyclic. |
| a ,b, c > 0 & a^2 +b^2 +c^2 =3 prove that (((1+(3/(ab+bc+ca)) )^((a+b+c)^2 ) ))^(1/3) ≤(1+(a/b))(1+(b/c))(1+(c/a)) |
| If a^2 + b^2 + c^2 = 16, x^2 + y^2 + z^2 = 25 and ax + by + cz = 20 then what is the value of ((a + b + c)/(x + y + z)) ? |
| 6y −2xy = 4 8z − yz = 9 10x − 4xz = 8 find x+y +z = ? |
| s=a+b+c+d+..... number terms :n {a;b;c;d.....}>0 then E=s/(s−a)+s/(s−b)+s/s−c)+.... a) E>=n^2 b)E>=n^2 /(n−1) c) E>=n/(n+1) d) E>=n^2 /(n+1) e) E>=n^2 −1 |
| find the cube root of 9ab^2 + (b^2 +24a^2 )(√(b^2 −3a^2 )) |