Functions of multiple variables
A projectile is fired from the ground at an angle of 45 degrees.
What initial speed must the projectile have in order to hit the top of a 100m tower located 200m away?
Findinitial speed
By Newton’s law
We know that
For some:
14.1 Function of multi-variables
Domain
The set of all inputs that we consider is called the domain of
or
Level Curves and Contour Map
- Horizontal trace at height C = intersection of the graph with the horizontal plane
= - Level curve: the curve
in the xy-plane =