1. G

    Explain these two questions in distance problem.

    Shatabdi express left Delhi 40 min late. After covering half of the distance it increased its usual speed by 1/6 of original speed and reached Chandigarh on scheduled time. Find usual time (in min) taken by Shatabdi express to cover complete journey. Solution: Speed Ratio; 6 : 7 Time ratio; 7 ...
  2. G

    Explain this step in Average speed problem?

    What is the average speed of a man who works at 1kmph for 1 hour, 2 kmph for 2 hours........ till 10 kmph for 10 hours? A) Average speed = (Total distance)/(Total time) = (1*1+2*2+3*3…….10*10)/(1+2+3****+10) = {1/6 n(n+1)(2n+1)}/ {1/2 n(n+1)} = 2n+1/3; (n = 10) = 7...
  3. S

    Could someone please explain how a specific part of the expression for the Riemann su

    I'm really sorry if this post is not appropriate for this forum. My math level is quite low and it might have been because of that I could not understand this concept. So, the problem that I have is that I don't understand how a part of this expression is generated: 1. $$S =\sum_{i=1}^n 2...
  4. G

    explain this question clearly.

    A butler stole wine from a butt of sherry which contains 15% of spirit and he replaced what he had stolen by wine containing 6% of spirit. The butt was then 9% strong only. How much of the butt did he steal? I didn't understand the question, Is my understanding correct? he stole wine which...
  5. G

    Explain this solution for this profit/loss problem?

    By selling an article at 80% of its MP, a merchant makes a loss of 12% what will be the profit /loss percent made by the merchant if he sells the article at 95% of its M.P? Sol: 80% is equated to 88 95% is equated to 104.5 104.5 - 100 = 4.5 Why 80% is equated to 88 & 95% is equated to 104.5??
  6. G

    Explain this shortcut C.I solution.

    A sum of money placed at Compound interest becomes 27 times of itself in 15 years. In 25 years, it will becomes how many times? Shortcut Sol: 3^3 = 3*5 ?=5*5 ? = 3^5 = 243 times. Actual CI formulae is CI = P(1+\large\frac{r}{100})\normalsize^{n} But solution looks totally different. Please...
  7. G

    Explain these three questions.

    A block of mass M is released from point P on a rough inclined plane with inclination angle θ, shown in the figure below. The coefficient of friction is μ. if μ < tan θ, then time taken by the block to reach another point Q on the inclined plane, where PQ = s, is Mg.\sinθ - μMg.\cosθ...
  8. Z

    Please explain to me in simple terms what these circle intersections are all about.

    So, say you got 4 circles intersecting this way: Now, I am looking for two things: A proof that each part of the circle which is in an intersection is 1/4 the size of the whole circle's circumference The exact area of the non-shaded region. Now, in my search for finding the answer to...
  9. I

    Homogeneous solution explain

    Given equation y'+py=q for q=0 then y=y_h is the homogeneous solution (1) Explain why solution to equation is y=y_h+y_p where y_h - homogeneous and y_p -particular (2) Explain how to derive y_p from y_h How to derive y=y_h + y_p ?
  10. B

    Explain Love using Maths.

    So can someone show me a formula that explains Love? :p
  11. G

    Please somebody explain the solution

    Find the least number of cuts required to cut a cube into 240 small identical pieces. Solution: 240 = find nearest cube value 216 = 6 is near cube Divide 240 with 6 = 40. 40 mean 8 x 5. Number of cuts = 5 + 7 + 4 = 16.
  12. G

    Please explain the solution of this problem.

    Find the least number of cuts required to cut a cube into 125 small identical pieces. Solution: Number of cuts = 4+4+4 = 12.
  13. G

    Please explain the solution.

    A Cube is decorated in such a way that one diamond is placed at each corner, 6 diamonds are placed at each edges and 3 diamonds are placed at the center of each face. How many diamonds are there on the cube? Solution: No of units = (E - 2C) 12 Corner = 8 X 1 = 8 Edges = (E-2C) 12 = (5 - 2X1)8...
  14. S

    Please help and explain. Confused

    There are two mutually exclusive events A and B with P(A)=0.7 and P(B)=0.6. Find the probability of following: i) A and B both occur ii) Both A and B does not occur iii) Either A or B does not occur:confused::confused::confused:
  15. J

    Help explain curves which are entirely below the x-axis

    Can someone help explain to me or maybe show me how to find the area of a curve which is below the x-axis. If the answer is a negative, is it correct ?
  16. G

    Can someone explain Basic Variables in the Simplex Method?

    I'm very confused by Basic variables in the simplex. They seem to be important so I want to have a good grasp of them. Here is an example from my textbook. Simple Tableau table: x1 x2 x3 s1 s2 z 1 1 1 1 0 0 100 10 4 7 0 0 0 500 ______________________ -120...
  17. A

    explain the criterion for

    A sufficiently regular function.
  18. L

    Explain about this queue

    Hello, Could you explain about this queue? please How it works? Thanks
  19. S

    Function! Explain please!

    Our teacher showed us the answer to f(tanx), if f(b) = b - b^2/1 + b but I don't quite get it.. Someone explain to me how do you get answer for f(tanx), if f(b) = b - b^2/1 + b ??