Recent content by [ScPpL]Shree

Homework Statement Either People of different heights are to be seated in a row. The shortest and tallest in this group are not seated at either end. What is the probability that: a) the tallest and shortest persons are sitting next to each other? (Ans: 1/3) b) there is one person sitting...

Question 1: Homework Statement Find "b" so that the difference between the x co-ordinates of the two inflection points of y=x4 + 4x3+bx2+5x+7 is 3 The Attempt at a Solution I.P. at y' = 0 two x co-ordinates are x and x+3 y' = 4x3 + 12x2 + 2bx +5 0 = 4x3 + 12x2 + 2bx +5 0 =4(x+3)3 +...

Homework Statement If y=f((x2+9)0.5) and f'(5)=-2, find dy/dx when x=4 Homework Equations chain rule: dy/dx=(dy/du)(du/dx) The Attempt at a Solution In my opinion giving f'(5)=-2 is unnecessary as: y=f(u)=u, u=(x2+9)0.5 dy/dx= (dy/du)(du/dx) (dy/du)= 1 (du/dx)= x/((x2+9))0.5 dy/dx =...