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  1. E

    Mathematics: Post your doubts here!

    which part dont you understand?
  2. E

    Mathematics: Post your doubts here!

    My guess is a B but it really depends on the grade threshold that year. I calculated 75, so if its a hard year where everybody does badly, you might get an A or a C if the year was easy
  3. E

    Mathematics: Post your doubts here!

  4. E

    Mathematics: Post your doubts here!

    y'= -e^p + e^p(4-p) = y2 - y1/ x2 - x1 ( gradient formula) = (4-p)e^p - 0/ p - 0 -p^2+4p-4=0 p=2
  5. E

    Mathematics: Post your doubts here!

    I think the question is wrong?
  6. E

    Mathematics: Post your doubts here!

    Ah, i typed down the wrong value for R. (sorry!) But the method is correct, so just work it out again And yes we take the initial range as 33.7 < (a+33.7) < 213.7 when we first find the inverse of sin
  7. E

    Mathematics: Post your doubts here!

    Area= (40*60) - 1/2(x)(60) - 1/2(2x)(40-x) - 1/2(40)(60-2x) Simplify and you will get the answer.
  8. E

    Mathematics: Post your doubts here!

    Q7 AB = AO+OB = (-2i-j-3k)+(-j+7k) = -2i-2j+4k
  9. E

    Mathematics: Post your doubts here!

    um, thetha=a, alpha=b (because its easier to type) 3sina+2cosa=Rsin(a+b) =Rsinacosb+Rcosasinb (compare with original eqn) Rcosb=3 R^2cos^2= 9 Rsinb=2 R^2sin^2= 4 Add up: R^2= 9+4=13 R=3.51 sinb/cosb= 2/3 b=33.7 3.51sin(a+33.7)=1...
  10. E

    Mathematics: Post your doubts here!

    dy/dx= 1-2sinx
  11. E

    Chemistry: Post your doubts here!

  12. E

    Mathematics: Post your doubts here!

    Its the formula that my teac gave. You can alternatively break it into A/2-x + B/1+x + C/1+x^2 and solve it but its kind of complicated and takes more effort, so feel free to use this formula. The Bx+C is only for quadratic factors, like here you have 1 term that's x^2.
  13. E

    Mathematics: Post your doubts here!

    f(x)= (6+7x)/(2-x)(1+x^2)= A/(2-x) + Bx+C/(1+x^2) Cross Multiply: 6+7x = A(1+x^2) + Bx+C(2-x) Let x=2: 6+7(2) = A(1+4) A = 4 Coefficient of x^2: Ax^2 - Bx^2= 0x^2 A=B , B=4 Coefficient of x: Bx - Cx = 7x 4x - Cx = 7x...
  14. E

    Mathematics: Post your doubts here!

    Um, instead of sub x=-6 , why don't u just sub in x=0, that way you can avoid sub in x=1. Anyway when you sub x=0 its suppose to be in 3x^2+14x-5>0 not the earlier modulus. Insert it following this method and you can get the answer.
  15. E

    Physics: Post your doubts here!

    When the gain is more than the supply voltage 10>9 V, the op-amp will go into saturation. So, normally you get back the supply voltage.
  16. E

    Physics: Post your doubts here!

    The question is asking for Power. The first 2 answers give KE which is wrong. Its is D because you have to take into account the diff in mass. C just considers M1.
  17. E

    Physics: Post your doubts here!

    The work recovered+ work not recovered= net work done
  18. E

    Physics: Post your doubts here!

    P= 1000*(30/100)*9.81
  19. E

    Physics: Post your doubts here!

    The area between is the thermal energy dissipated. For a rubber, when it is extended they say that there is no permanent extension, however there will be heat exerted. The shaded area is the net work done and the area under the graph is the work recovered
  20. E

    Physics: Post your doubts here!

    E= stress/strain= F/A/x/l E=Fl/xA E=Fl/ delta l (l^2) E and F are both constant, so B
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