Answer:

Step-by-step explanation:
The equation of the curve is

To find the equation of tangent we need to differentiate this equation w.r.t x
So, differentiating we get

This would give the slope of the tangent line at any given point of which x coordinate is known. In the present case it is 
Then slope would accordingly be

= ∞
For,
, 
Equation of tangent line, in the point slope form, would be 
Answer:
2667 dump truck loads
Step-by-step explanation:
To solve this exercise, we must resort to a proportion rule.
Knowing what happened in the first place, how much was needed, a direct proportion will be made with the other accident, be as follows.
Landslide Dump Truck Loads
3 yd ^ 3 -------------------------------------------> 200
40 yd ^ 3 -------------------------------------------> X
X = (40 * 200) / 3
X = 2666.6, that is, for 40 cubic yards of sliding, approximately 2667 dump truck loads are needed.
Slope is 2/1 , because the formula to find the slope is rise/ run
= 6/3
= 2/1