Answer:
y' = (2x + y cosxy)/(2y + x cosxy)
Step-by-step explanation:
Using implicit differentiation:
y^2 = x^2 + sin xy
2y y' = 2x + cos xy * (xy' + y)
2y y' = 2x + xy' cos xy + y cos xy
2y y' - xy' cosxy = 2x + ycos xy
y' = (2x + y cosxy)/(2y - x cosxy)
Answer:

Step-by-step explanation:
Given


So:
--- May
--- June
Required
Express as a function
Start by calculating the slope (m)



Simplify

The equation is:



Take LCM

let the number be xy then
x + y = 12
y - x = 2 ( because y > x)
adding we get 2y = 14 so y = 7
and x = 12 - 7 = 5
So the number is 57.