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OthersQuestion and Answers: Page 66
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Question and Answers Forum |
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OthersQuestion and Answers: Page 66 |
| what are the reasons for not using x = ((2c)/(−b ±(√(b^2 −4ac)))) as the quadratic formula? i proved it. |
| If Σ_(i = 1) ^(10) (x_i +4) = 60 then find the value of x^ . |
| prove that the equation of the normal to the rectangular hyperbola xy = c^2 at the point P(ct, c/t) is t^3 x −ty = c(t^4 −1). the normal to P on the hyperbola meets the x−axis at Q and the tangent to P meets the yaxis at R. show that the locus of the midpoint oc QR, as P varies is 2c^2 xy + y^4 = c^4 . |
| Q. Prove by mathematical induction that Σ_(r=1) ^n (4r + 5) = 2n^2 + 7n |
| prove that ((1−tan^3 θ)/(1 + tan^3 θ)) = 1−2sin^3 θ |
| given that f(r)= sin (1 + 2r)θ show that f(r)−f(r−1) = 2 cos 2r θ sin θ hence show that Σ_(r=1) ^n cos 2r θ sin θ = cos (n +1)θ sin nθ |
| show using demoives theorem that sin^2 θ cos^2 4θ =(1/8)(1−cos4θ) |
| solve the equation (z−2)^3 = (1/2)−i((√3)/2) |
| given that α is a real number, use mathematical induction or otherwise to show that cos ((α/2))cos((α/2^2 ))cos((α/2^3 )) ...cos((α/2^n )) = ((sin α)/(2^n sin((α/2^n )))) hence find the lim_(n→∞) cos((α/2))cos((α/2^2 ))cos((α/2^3 )) ... cos((α/2^n )) |
| Please in an arithmetic mean a, A_1 , A_2 , A_3 , ... , A_n , b where A_1 , A_2 , A_3 , ... , A_n are nth arithmetic mean why is b = (n + 2)th term: like T_(n + 2) Please |
| in solving the linear congruence ax ≡ b (mod n) ⇒ n∣(ax − b) ⇒ ax −b = kn ⇔ ax −kn = b ⇒ solving the linear diophantine equation ax −kn = b what are the general solution to the equation ax−kn = b |
| sin(x)=a −1≤a≤1 |
| is (8/9) is the multiplicative inerse of −1 (1/8)? why or why not? |
| Solve x^y =y^x x, y ∈ N |
| ∫(dt/(3sint+4cost)) |
| ∫((5−t)/(1+(√((t−4)))))dt |
| Find a,b,c ∈ Z that satisfy (7a + 15b + 0c) mod 26 = 8 (5a + 16b + 6c) mod 26 = 21 (6a + 3b + 20c) mod 26 = 14 |
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| solve the differential equations. (a) (x + 3y^2 )(d^2 y/dx^2 ) + 6y ((dy/dx))^2 + 2(dy/dx) + 2 = 0 (b) (2y−x)(d^2 y/dx^2 ) + 2((dy/dx))^2 −2 (dy/dx) + 2 = 0 |
| find m for fix function f(x)=(((m−1)x+3)/(x−1)) |
| If ((1+x)/(1+(√(1+x)))) +((1−x)/(1−(√(1−x)))) =1 find x |
| using the squeeze theorem show that lim_(x→a) (√x) = (√a) |
| Σ_(n=1) ^∞ 1/n^2 =π^2 /6 |
| two smooth spheres of masses 2m and 3m have velocites (−12i + 8j) u ms^(−1) and (5i + 12j)u , respectively where u is a constant. The spheres collide with thier line of centre of parallel to j. Given that the coefficient of restitution between the spheres is (1/4), find the loss in kinetic energy due to impact. |
| please anyone wanna help me with Q91948 |
| for a 2d vectors if ∣a + b∣ = ∣a−b∣ what relationship does a and b have? |