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 =...