The side of a square are increasing at 2 inches per second. How fast is the diagonal increasing when the side is 3 inches?
3 answers
5113
Diagonal --- d
side ---x
d^2 = x^2 + x^2
d = √2x
dd/dt = √2 dx/dt
at any length of x
dd/dt = √2(2)
= 2√2 inches per second
side ---x
d^2 = x^2 + x^2
d = √2x
dd/dt = √2 dx/dt
at any length of x
dd/dt = √2(2)
= 2√2 inches per second
thank you
2 answers