If we assume that a person's weight depends on the energy consumed minus energy ued, one model is that weight changes in proportion to the difference, so:
dw/dt = k(C - 38.5w) where w(0) = w subscript 0
where w(t) kg is the weight at t days, C is the daily calorie intake, and we assume 38.5 calories per kg per day are used
(i) if you wish to maintain a constant weight of 82 kg, what should be your daily calorie intake C?
(ii) If you weigh 100 kg, and you want to lose 10 kg in a month, what should C be? (Assume k = 1.3 * 10^(-4) kg/calorie and a month of 30 days) Is this result healthy?
can someone solve these questions for me, they are on a past test paper which does not have solutions available.
can u help me out the same way with that kind of template for some of my other posts about differential equation word problems?
I have an exam coming up and my prof hasn't touched any word problems,
if you could provide templates, i can understand them better and hopefully pass the exam
links:
http://www.mathhelpforum.com/math-he...tric-func.html
http://www.mathhelpforum.com/math-he...d-problem.html
http://www.mathhelpforum.com/math-he...-diver-de.html
http://www.mathhelpforum.com/math-he...ates-flow.html
http://www.mathhelpforum.com/math-he...72473-ivp.html
http://www.mathhelpforum.com/math-he...ntial-eqn.html
thanks in advance
can you tell me what your final answer for C is?
i'm getting 102375.57
as for the constant in part (i) i'm getting (C - 3850)
and the expression for C in part (ii) i'm getting
[3465 - 3850e^(30k)] / [1 - e^(30k)]
is this correct
can someone show me the correct solution step by step?