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  1. D

    Physics: Post your doubts here!

    Resistance = resistivity * (length/x-sectional area) length is halved and area is doubled so resistance is 1/4th of the original.
  2. D

    Mathematics: Post your doubts here!

    It is an arithmetic sequence with a = 0.362 and d = 0.785 25 < 0.362 + (n-1)(.785) n > 32.38 so n = 33
  3. D

    Mathematics: Post your doubts here!

    ii) split into 2 cases 1. Thousand digit is 3 1st digit: 1 choice (can only be 3) 4th digit: 2 choices ( can only be 4 or 8) 2nd digit: 5 choices(any of the remaining) 3rd digit: 4 choices(any of the remaining) 2. Thousand digit is 4 1st digit: 1 choice (only 4) 4th digit 1 choice (only 8)...
  4. D

    Mathematics: Post your doubts here!

    (a, 2, 1) . (1,2,2)/(3*sqrt(a^2 + 5)) = cos(90 - tan^-1(2)) (a + 6)^2 = 9(a^2 + 5)(cos(90 - tan^-1(2)))^2 a = 0 or 1.94 tan^(n+2) + tan^n = u^(n+2) + u^n du/dx = sec^2(x) dx = du/sec^2(x) dx = du/1+tan^2(x) dx = du/1 + u^2 New limits are 0 and 1 (tan(pi/4) and tan(0)) Int(0 to 1) ((u^(n+2) +...
  5. D

    Mathematics: Post your doubts here!

    9)i) dy/dx = 2sin2x.2cos2x.cosx - sinx.sin^2(2x) sinxsin^2(2x) = 2sin2x.2cos2x.cosx sinx.sin2x = 4cos2x.cosx tan2x.tanx = 4 (2tanx/1-tan^2x)*tanx = 4 6tan^2(x) = 4 tanx = sqrt(2/3) x = 0.685 8)i) (2x^2)/(k-x^3) dx = 1/t dt -2/3ln(k-x^3) = lnt + c t = 1, x = 1 -2/3ln(k-1) = c...
  6. D

    Mathematics: Post your doubts here!

    Use sin3theta = 0.75 to calculate values of theta. theta = 0.283 theta = 0.765 Now you have to use the equation given earlier. X = 2sin(theta)/sqrt3 with these 2 values of theta to get the first 2 solutions. Further positive values of theta won't work because if you make a table of the...
  7. D

    Mathematics: Post your doubts here!

    There's a standard method to find the perp distance of a point from a line. Write the equation of the line (4-2x, -9 + x, 9 - 2x) Subtract the co-ordinates of the point ( 4 - 2x -3, -9 + x -8, 9 -2x -5) = (1-2x, -17 + x, 4 - 2x) ---> 1 this is perpendicular to the line (1 - 2x, -17 + x, 4 - 2x)...
  8. D

    Mathematics: Post your doubts here!

    a ^2 = ln(4+8a^2) e^(a^2) = 4 + 8a^2 e^(a^2) = (1+2a^2)/0.25 e^(-a^2) = 0.25/(1 + 2a^2) (taking reciprocal) e^(-.5a^2) = 0.5/(1 + 2a^2)^0.5 0.5 = e^(-.5a^2) * sqrt(1+2a^2)
  9. D

    Mathematics: Post your doubts here!

    let z = x + iy x + iy = x + iy + i/(i(x+iy) + 2) (x + iy)(i(x+iy)+2) = x + iy + i simplify i(x^2 - y^2 + y) -2xy +x = i Equate real and imaginary parts -2xy +x = 0 ----1 x^2 - y^2 + y = 1 ----2 From 1 y = 0.5 use in 2 x = -sqrt3/2 (since the question mentions that the real part is negative) z...
  10. D

    Mathematics: Post your doubts here!

    When there are repeating letters in combinations, you split them into cases based on how many times the repeating letter occurs. 0A: 3C3 (choosing 3 from T,I,Z) 1As : 3 (from previous part) 2As : 3C1 (choosing 1 from T,I,Z) 3As: 1 Total = 8
  11. D

    Mathematics: Post your doubts here!

    https://malaysia.answers.yahoo.com/question/index?qid=20140919190443AAmSFNU
  12. D

    Mechanics 9709 P42 (GT)

    Question 7 was copy/paste of a question from s12 41
  13. D

    How was M1 (Math P/42)? (No discussion)

    It was a pretty ordinary paper. I think A will be 40-42.
  14. D

    Computer Science (9608)

    I'm giving it too. Prep is okay, but it would have been much better if there was a cambridge endorsed book and past papers.
  15. D

    Mathematics: Post your doubts here!

    component is mgsin(theta) mg is 12500 For sintheta, consider the triangle in the question. Length of the slope(500) is hypotenuse and the height(30) is the perpendicular. sin(theta) = 30/500 so the component is 12500(30/500)
  16. D

    Mathematics: Post your doubts here!

    component of weight down the slope.
  17. D

    Mathematics: Post your doubts here!

    Driving force = P/V P/V - Fr = ma 30000/Vinitial - 12500(30/500) - 1000 = 1250(4) and 30000/Vfinal -12500(30/500) - 1000 = 1250(0.2)
  18. D

    Mathematics: Post your doubts here!

    Tension on both sides of the pulley is same, so the right angle can be split into 2 45 degree angles. If you resolve one of these, it's Tcos45. Since there are 2 of these, the resultant is equal to 2Tcos45 2Tcos45 =4sqrt2
  19. D

    Mathematics: Post your doubts here!

    Always use it when you are using newton's second law ( Fnet = ma) i)V = P/F If P increases, V increases, so Vb = 1.2* 28 If F decreases then V increases, so Vb = (1.2 * 28)/0.96 (multiplying by 0.96 will decrease V, so it's divided) ii)Work done by Driving force + Loss = Work done by...
  20. D

    Mathematics: Post your doubts here!

    The 2 parts of the string are at different angles.
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