Answer: y=8
Step-by-step explanation:
9x^2 - y^2 = 1
a.) 18x - 2y dy/dx = 0
2y dy/dx = 18x
dy/dx = 9x/y
b.) y^2 = 9x^2 - 1
y = √(9x^2 - 1)
y' = 9x / √(9x^2 - 1)
c.) substituting y = √(9x^2 - 1) into solution for part a gives
dy/dx = 9x / √(9x^2 - 1)
Thus the two solutions are consistent.
Hello,
Assume n the number to be found.
n-3 is so a multiple of 8,10,12,30 .
The lcm of 8,10,12,30 is 2^3*3*5=120
n-3=120 or 240 or 360.... n-3=240
==> n=243