Homework Statement
Find three positive numbers whose sum is 12 and the sum of whose squares is as small as possible.
Homework Equations
The Attempt at a Solution
I don;t even know how to start this one, this is a section from partial derivatives on the max and mins. Please i need guidance...
I am taking calculus one and just learning integrals. Integral calculus is Cal 2 so no, I am not teaching my self integral calculus but I am trying to learn it. for the integral of g(u)=85=85u and for the integral of f(u)=-0.18cos(u)=-9/50sin(u).
nevermind i got what you were doing. However upper limit of u is t=24 u=pi/12(24)=2pi and lower limit of u is t=0 u=pi/12(0)=0 12/pi ∫upper limit (2pi) , lower limit (0) 85-0.18cos(u)du than what?
the ?'s are upper limit 24hours and lower limit 0 hours. I went right to the decimals because I did not know what du without taking the derivative was since is a fraction I was thinking in Quotient rule or product rule. I know i have to replace my du with what it is in my original integral...
ok let me seee.... Let me know if i'm doing this right.
du=0.26167dt
∫85-0.18cos(u)du=∫-sin(u)??? =∫85-0.18sin(0.26167t)
(85-0.18sin(0.266767(24))-(85-0.18sin(0.266767(0))
Is that right??
Homework Statement
A model for the basal metabolism rate, in kcal/h, of a young man is given by the formula below, where t is the time in hours measured from 5:00 AM. What is the total basal metabolism of this man over a 24 hour period?
R(t) = 85 - 0.18cos (Pi*t/12)
∫(0to24) R(t)dt= ...
deltax= 1-0/n=1/n than according to definition 2 the R endpoints formula is (a+ideltax)deltax so is i/n*1/n than substituting from x^3 we have (i/n)^3*1/n=i^3/n^3*1/n=i^3/n^4 which makes more sense. Now i just get rid of the 1/n^4 and put it in the other side of the summation and ta chan...
Homework Statement
Part A : A 0.5 Kg ball is attached to a cord 80 cm long. The ball is whirled in a vertical circle at a constant speed. If the ball takes 0.4 seconds to go around once, what is the tension in the cord at the top and bottom of the circle?
Part B How long does it take for...