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  1. C

    Mathematics: Post your doubts here!

    do you know how is a quartic curve looks like ?? find it out at google, then all your doubts will be solved.
  2. C

    Mathematics: Post your doubts here!

    by replacing x=0 into second derivative of f(x)
  3. C

    Mathematics: Post your doubts here!

    it will be 2 minima and 1 maxima.... and then you can find the coordinates for every turning points, you will find that all points are above x-axis, so i think it will works too
  4. C

    Mathematics: Post your doubts here!

    (i) x^4 -2x^3 -2x^2 + a = (x^2 -4x +4)Q(x) f(x) = (x-2)(x-2) Q(x) , since factorisation of (x^2 -4x +4) is (x-2)^2 so let x=2, f(2)=0 then you will be able to find a already. a is 8. (ii) by using long division, f(x) =(x-2)(x-2)(x^2 + 2x +2) , by doing completing the square on (x^2 +2x +2) =...
  5. C

    Statistics 1: Post Your Doubts Here

    the answer is : (3x2) x (7x8!) = 1, 693, 440 (3x2): is because choosing 2 women from 3 women to stand together. (7x8!) : the thing is, all 3 women cannot stand together, so everytime the 2 women only can stand together in (9-2) positions, -2 is because they can't stand at either left or...
  6. C

    Further Mathematics: Post your doubts here!

    by intergrating (3x/21) from 0 to 3 and intergrate (2/7) from 3 to x, then sum it up.
  7. C

    Further Mathematics: Post your doubts here!

    no 11) the 1st answer is it : F(x) = x^2/21 , 0 <= x <= 3 = 2x/7 - 9/21 , 3 <= x <= 5 ??
  8. C

    Further Mathematics: Post your doubts here!

    the answer for no7 is it : a) 0.1342 b)0.1111 c)0.4444 ??
  9. C

    Mathematics: Post your doubts here!

    change tan2x = sin2x/cos2x
  10. C

    Mathematics: Post your doubts here!

    no 3) this question is interesting. from the GP: 1, a, b we can assume the ratio=a because T2 = 1xa = a , then, a x a = b a^2 = b --- eq(1) from the AP: 1, b, a we can assume the difference is b-1, since T2 = 1+(b-1) = b, then, b + (b-1) = a 2b-1 = a --- eq(2) by putting eq(1) into eq(2)...
  11. C

    Mathematics: Post your doubts here!

    no 2) Given T5 = 2/81, then ar^4 = 2/81 --- eq(1) Given T3+T4 = 8/27, then ar^2 +ar^3 = 8/27 ar^2 (1+r) = 8/27 --- eq(2) just use eq(1) divide by eq(2) or vice versa, then you can get rid of a and get a quadratic equation of r, solve it then you will find the answer.
  12. C

    Mathematics: Post your doubts here!

    no 1) to find r, we know that the ratio: Sum of infinity : Sum of 1st 7 terms = 128:127 127 x Sum of infinity = 128 x Sum of 1st 7 terms 127 x (a/1-r) = 128 x (a(1-r^7)/1-r) by getting rid of (a/1-r) , 127 = 128(1-r^7) r^7 = 1 - 127/128 = 1/128 = (1/2)^7 therefore, r= 1/2
  13. C

    Mathematics: Post your doubts here!

    no 10) 1st method: Chain rule: Let u=a+x, du/dx=1 therefore, y=sin u, dy/du=cos u by chain rule, dy/dx = dy/du x du/dx = cos u x 1 = cos u = cos (a+x) 2nd method: expansion: sin(a+x) = (sin a)(cos x)+(cos a)(sin x) dy/dx = -(sin a)(sin x)+(cos a)(cos x) = (cos a)(cos x)-(sin a)(sin x)...
  14. C

    Mathematics: Post your doubts here!

    the image is kinda blur, I can't see the question clearly, just answer according to what i am able to see @_@, 6a) ans : (cos x)exp(sin x) 6b) ans : -3(sin 3x)exp(cos 3x) 6c) ans : 10(sin x)(cos x)exp(sin^2 x) whenever you need to differentiate exponential thing, like exp(u) , where u is...
  15. C

    Mathematics: Post your doubts here!

    Question 2: since Z = cos π/6 + i cos π/3 therefore, arg(Z) = π/6 or you can try to sketch this thing out on cartesian plane. mod Z = √ ( cos^2 π/6 + cos^2 π/3 ) = √ ( (√3 / 2)^2 + (1/2)^2 ) = 1
  16. C

    Add Math help needed!

    Just myself good is not enough, I am learning how to make more and more people good at maths :sneaky:
  17. C

    Add Math help needed!

    logical thinking.... what is the range of values of n(A ∩ B) ??
  18. C

    Mathematics: Post your doubts here!

    it is the same..... sin x - (1/3)(sin^3 x) =(1/3)(sin x)(3-sin^2 x) =(1/3)(sin x)(3cos^2 x + 3sin^2 x - sin^2 x) = (1/3)(sin x)(3cos^2 x + 2sin^2 x)
  19. C

    Mathematics: Post your doubts here!

    f(-1) means we substitute the x with -1 in here: f(x) = (x-1)(x+1)Q(x) + ax + b every x above will turn into -1
  20. C

    Mathematics: Post your doubts here!

    Let f(x) = (x^2 - 1)Q(x) + ax + b f(x) = (x-1)(x+1)Q(x) + ax + b we know that (x+1) is a factor, f(-1) = 0, b-a = 0, this is equation 1, (x-1) gives remainder of 4, f(1) = 4, a+b = 4 , this is equation 2, solve simultaneous equation 1 and 2, then you can find a and b.
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