Answer:
Step-by-step explanation:
Std vhb th gfsxcfg hffhjhg
To sketch the graph of the function with an inequality. First is to analyze the different inequality.
If f(0) = 0 the line is in the center of the graph in the origin.,
if f(x)<0 the line is decreasing
if f(x)>0 the line is increasing.
I hope that i answered your question
Step-by-step explanation:
Afro Eurasian network of trade basically encompassed all the major routes of trade before the discovery of Americas and thus meant that the tarde of many things was being done in different parts of it and from different parts of it.
The African coasts were rich in minerals and gold so it was traded from there while India and China were rich in silk, cotton, grain along with the very valuable salt which was also a commodity of the eastern and south eastern part of Asia.
The European trade route largely contributed to metals and non metals required for construction as well as other elements.
Answer:
A
Step-by-step explanation:
We have the equation:
![x^2+xy-3y=3](https://tex.z-dn.net/?f=x%5E2%2Bxy-3y%3D3)
Take the derivative of both sides with respect to x:
![\frac{d}{dx}[x^2+xy-3y]=\frac{d}{dx}[3]](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%5Bx%5E2%2Bxy-3y%5D%3D%5Cfrac%7Bd%7D%7Bdx%7D%5B3%5D)
Implicitly differentiate:
![2x+y+x\frac{dy}{dx}-3\frac{dy}{dx}=0](https://tex.z-dn.net/?f=2x%2By%2Bx%5Cfrac%7Bdy%7D%7Bdx%7D-3%5Cfrac%7Bdy%7D%7Bdx%7D%3D0)
Solve for dy/dx:
![\frac{dy}{dx}(x-3)=-2x-y\\](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D%28x-3%29%3D-2x-y%5C%5C)
Divide:
![\frac{dy}{dx}=-\frac{2x+y}{x-3}](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D%3D-%5Cfrac%7B2x%2By%7D%7Bx-3%7D)
To find dy/dx at (2, 1), substitute 2 for x and 1 for y. So:
![\frac{dy}{dx}_{(2, 1)}=-\frac{2(2)+1}{2-3}=-\frac{5}{-1}=5](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D_%7B%282%2C%201%29%7D%3D-%5Cfrac%7B2%282%29%2B1%7D%7B2-3%7D%3D-%5Cfrac%7B5%7D%7B-1%7D%3D5)
Hence, our answer is A.