H
Harry23

  • Aug 4, 2024
  • Joined Apr 17, 2023
  • Jom

    WOW, thank you sooo much.
    you make that sound so easy to understand.
    I really appreciate that, thanks so much for your help.

  • Hey Guys, I have got a question provided by my teacher that I am REALLY struggling with. Could anyone please help me out?! I couldn't add an image to this post so ill try and type it out. Hopefully its readable. The question is as follows:

    Newtons Law of cooling states that the rate of cooling of a body is proportional to the excess of its temperature above that of its surroundings, i.e
    dT/dt = -k(T - Ts)
    Where T°C is the temperature of the body, Ts °C is the temperature of the surroundings and k is %
    a positive constant. A cup of hot water is poured from a kettle with an initial temperature of 95°C and is placed on a sink in the kitchen where the temperature is a constant 25°C. If it takes 10 minutes for the cup of hot water to reach a temperature of 60°C, express T in terms of t. (3 marks)

    Could anyone please help me out?

  • Ohhh ok.
    so you move the 1 over and treat it as a quadratic and solve using the quadratic formula.
    So if you were finding x from the x2 part there is a +/- in front of the sqrt of a, but there is also a +/- in front of the sqrt(5) doesn't that mean there will be four answers??

    • Find the y-coordinates for the point of intersection of the curve y = x2 with the circle x2 + y2 = 1

      I have halfway used simultaneous equations and I have the equation:
      x2 + x4 = 1
      How do I solve for x?

    • Also, Here when you add all the equations as they must all equal to 4 hours. How did you make (1)=a and (2)=0.25? did you make x=7 in (1) to make it equal to 1 then 1/4=0.25?

    • Ohh, wait.
      Is that so you only have one unknown variable in the third equation (3)? do that you can then simplify and solve for c

      • WOW. Thanks so much.
        So when you substitute (1) into 6x+3=36/c are you then using simultaneous equations to find (3)??
        or is that just a rule of thumb, to substitute (1) into another to get (3)??

      • A man has to travel 50km in 4 hours. He walks the first 7 km at x km/h, cycling the next 7 km at 4x km/h and motoring the remainder at (6x+3) km/h. Find x?

        Would I use simultaneous equations to solve??

        Please help me.