Answer:
The length of the rope = 8.94 meters
Step-by-step explanation:
∵ The flagpole is 8 meters high
∵ The hook is 4 meters from its base and the hook is in the ground
∵ The flagpole and the ground ⊥ to each other
By using Pythagoras theorem:
∴ The length of the rope = √(8² + 4²) = 5√5 = 8.94 meters
The answer is (1,1) since that is where J and K intersect.
the construction of fields of formal infinite series in several variables, generalizing the classical notion of formal Laurent series in one variable. Our discussion addresses the field operations for these series (addition, multiplication, and division), the composition, and includes an implicit function theorem.
(PDF) Formal Laurent series in several variables. Available from: https://www.researchgate.net/publication/259130653_Formal_Laurent_series_in_several_variables [accessed Oct 08 2018].
Answer: 4,170
Step-by-step explanation:

The answer is True.
On differentiating using product rule,
![\mathsf {\frac{d}{dx}[xe^{x}] = x(e^{x})+e^{x}(1)}](https://tex.z-dn.net/?f=%5Cmathsf%20%7B%5Cfrac%7Bd%7D%7Bdx%7D%5Bxe%5E%7Bx%7D%5D%20%3D%20x%28e%5E%7Bx%7D%29%2Be%5E%7Bx%7D%281%29%7D)
![\mathsf {\frac{d}{dx}[xe^{x}] = e^{x}(x + 1)}](https://tex.z-dn.net/?f=%5Cmathsf%20%7B%5Cfrac%7Bd%7D%7Bdx%7D%5Bxe%5E%7Bx%7D%5D%20%3D%20e%5E%7Bx%7D%28x%20%2B%201%29%7D)
The general form of product rule :
