Answer: The height of the kite above the point at which the string is held is feet.
Step-by-step explanation:
Given : A kite is being flown at . The string of the kite is 120 feet long.
Let AB denote the string of kite and AC be the height of the kite above the point at which the string is held.
Now, in right Δ ABC
hence, The height of the kite above the point at which the string is held is feet.
The function
... y = 1/x
has derivative
... y' = -1/x²
which has no zeros. It is undefined at x=0, the only critical point. The derivative is negative for all values of x, so the function is decreasing everywhere in its domain.
Your function
... y = (x+1)/(x-3)
can be written as
... y = 1 +4/(x-3)
which is a version of y = 1/x that has been vertically scaled by a factor of 4, then shifted 1 unit up and 3 units to the right. Shifting the function to the right means x=3 is excluded from the domain (and the interval on which the function is decreasing).
The critical point is x=3.
The function is decreasing on (-∞, 3) ∪ (3, ∞), increasing nowhere.
