Slope Of Infinity Math
There are a couple distinct ways to extend the real line to include infinity.
Slope of infinity math. Often they re denoted and. The answer basically is that infinity is weird. In the following analysis effective shear strength. Since the test specifically says positive infinity i have to conclude that it was written by someone who is illiterate in math.
Presumably your brother is thinking that the slope is infinity. You should decide for yourself. This is how my math teacher showed that anything divided by 0 equals infinity the slope of a straight line is both n 0 undefined and infinity thus showing that n 0 equals infinity. An infinite slope is the slope of a vertical line.
Bottom top bottom 3 bottom 2 top bottom 3. If it s always a rectangle where the bottom side is perfectly horizontal you shouldn t need to use slopes at all you simply draw a horizontal line from left to right at the two internal levels such as. Infinite slopes in c φ soils with parallel seepage. This gives a structure called the extended real line.
In this way the slope of a vertical line can be thought of as infinity because once you get to that vertical line the slope is infinity. As a line approaches vertical its slope approaches plus or minus infinity. One way is to add two elements one at either end of the number line. If a saturated slope in a c φ soil has seepage parallel to the surface of the slope as shown in figure below the same limit equilibrium concepts may be applied to determine the fs which will now depend on the effective normal force n.
You re actually both right it s both undefined and infinity. Y ax b.