Recent content by nuadre

it's a special case of MVT because at every point between a,b inclusive, the derivative is 0 (As it is a constant straight line parallel to x axis)? Which proves that rolle's theorem is true?

Proof of Rolle's Theorem: "From the extreme value theorem, the function attains its extreme values on [a,b]. If it attains them both at a and b, then the function is constant, and so has zero derivative everywhere. If it attains either of them at an interior point, then by the extreme value...

hi Ted! Thanks for your reply, I couldn't get my head around this. Can I use values of a= -1 , b= 1, c=0 and sub these in for a function y= x^2 ? y' = 2x so y(-1) = f(a) y(1) = f(b) y'(0) =0 therefore f(b) - f(a) / b-a = f ' (c) is equal to 1-1 / 1+1 =0 =f'(c) ? Am I on the...

Homework Statement Assuming Rolle's Theorem, Prove the Mean Value Theorem. Homework Equations - The Attempt at a Solution I know these definitions: Rolle's Theorem: If y=f(x) is continuous on all points [a,b] and differentiable on all interior points (a,b), and if f(a)...

Homework Statement Find the tributary load width. Homework Equations - The Attempt at a Solution Hi, I'm having trouble understanding the concept of the tributary load width. Can someone help me out with this. Attatched is the frame that we need to find the Tributary load...

Homework Statement "Design a bridge over a valley 300m wide. Road surface is supported by a truss underneath." My problem: With calculations Now calculation for buckling says i need to design the truss for compression such that I > (P. L^2) / (pi^2 x E ) or Pcr > P where I = reduction value...