1) Find the derivative

and

.
2) The equation of the tangent line is

, so at point (2,6):

and


-the equation of the tangent line at point (2,6).
There is no limit to the area that the dog can access and explore. It can go anywhere it wants to, and simply drag the leash behind. My dogs do it all the time. Now if you were to fasten the free end if the leash to a stake in the ground, then the situation would be a completely different one. Then the dog would be restricted to the circle centered at the stake with radius=4 meters. The area of such a circle is 16 pi square meters.
Answer:
Rational Function
Step-by-step explanation:
Gives the function:

It has the following,
Domain
x∈
: 
Range

End behaviour
As x
Horizontal and Vertical Asymptote
Vertical 
Horizontal 
<em>x-intercept: (2,0)</em>
<em>y-intercept: none</em>
<em>**The Graph is in the annex</em>
Complete question :
dion places a ladder against The side of his house as shown in the diagram below. Dion’s water is 26 feet long, and he places the ladder at a 70° angle with the ground, How high does the ladder reach up the side of the building?.
Answer:
24.43 feets
Step-by-step explanation:
Using trigonometry :
Sinθ = opposite / hypotenus
Opposite = height, h
Hypotenus = 26
Sin 70° = h / 26
0.9396926 * 26 = h
height, h = 24.43 feets