Recent content by jimjames

Homework Statement Use the Chain Rule to find the 1. order partial derivatives of g(s,t)=f(s,u(s,t),v(s,t)) where u(s,t) = st & v(s,t)=s+t The answer should be expressed in terms of s & t only. I find the partial derivatives difficult enough and now there is no numbers in the problem, which...

Managed to solve this late yesterday. Thanks for trying to help.:smile:

y(1+x)=x 1+x=x/y

Where did you get y = x/(1+x) ? What i normally do is f(x) = x/(1+x) <=> x=f^-1(y) f(y) = y/(1+y) <=> y=f^-1(x) x=y/(1+y) y=x+xy And now I'm stuck

Homework Statement Show that the functions f are one-to-one and calculate the inverse function. Homework Equations f(x)= x/(1+x) (It is the equation I am having trouble with) The Attempt at a Solution I know the solution is y= x/(1-x) But no idea how to solve it. My attempt: x(1+y)=y or...

How did you get C) 0.795 s or pi/4

w = v/r = 27,78/0,25 = 111,12 0,5*2028*27,78^2=782,53kJ (0,5*0,56*111,12^2 + 0,5*18*27,78^2)*4 = 41,6kJ = 824,13 kJ

I used w=a = 8,18 The correct formula should be? 0,5*m*v^2 for car and (0,5*I*w^2+0,5*M*v^2) *4 for wheels Car = 810,31kJ Wheels = (0,5*18*27,78^2+0,5*0,56*8,18^2) *4 = 27,86kJ

How did you end up with c) 824,1 kJ? I think this formula is correct? K = 0.5*I*w^2+0,5*Mv^2 ? (0,5*0,56*8,18^2+0,5*2100*27,8^2 = 811,50kJ) I don't get the same solution as 824,1kJ