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  1. K

    Application of calculus to the physical world

    Guys can you help me with this???? A trough L metres long has a cross-section in the shape of an isosceles triangle with base length 2a metres and height b metres. Water leaks from the trough at a constant rate of c m^3/min. Find the rate at which the water level is falling when the depth of...
  2. K

    Application of calculus to the physical world

    Yusss, Thank you so much, I thought we can use 1600 as the initial value XD. I got another question from the same kind. A saucepan of water is brought nearly to the boil. if the temperature reaches 95°C and cools down to 75% of this temperature after 2.5 minutes, find how long it will take for...
  3. K

    Application of calculus to the physical world

    Helppppp….. I got stuck on this question, I'm not able to get the answer that is in the back of the book a formula for the rate of change in population of a certain species of animal is given by P=200+1600(e^-kt). If the population reduces to half after 56 years, find how long it would take...
  4. K

    Relationships between roots and co-efficients 0:

    Aye, so I can choose not to use it, because somehow the double sigma scares me XD Appreciate your help
  5. K

    Relationships between roots and co-efficients 0:

    Wow, thanks so much, I get the second question now. However for the first question, the process you used... I didn't fully understand how you did it. Why did you use the sigma notation for substituting the expression itself? Thanks again for all this help ;)
  6. K

    Relationships between roots and co-efficients 0:

    Helppppppp…. I stumbled across these questions :c 14. If the roots of the equation x^3 + 3x^2 - 2x + 1 = 0 are α,β ,γ, find the value of: (a) α^2 (β + γ) + β ^2 (γ + α) + γ^2 (α + β) (b) (α^2)(β ^2) + (β ^2) (γ^2) +...
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