Homework Statement
A rectangle is 2 metres longer than it is wide. On the other hand, if each side of the rectangle is increased by 2 metres, then the area increases by 24 square metres. Find the side-lengths of the rectangle.
Homework Equations
The Attempt at a Solution
So my...
Homework Statement
Find all real values of x that satisfy the following inequality.
Homework Equations
|x-3| > |x + 1|
The Attempt at a Solution
Splitting up the inequality into cases I get:
1. |x-3| > x + 1 and 2. |x-3| < -x - 1
1. x-3 > x + 1 or x-3 < -x - 1...
Homework Statement
Find the derivatives at an arbitrary point x in the domain of the following functions f_i: D_i → ℝ, where for 1 ≤ i ≤ 6 the domain D_i is the maximal subset of ℝ on which the mapping is defined - you don't have to determine the domains.
Homework Equations
a) f_1 (a) =...