(6) (Bonus) A rectangular box has its edges changing length as time passes. At a particular instant, the sides have lengths a = 150 feet, b = 80 feet, and c = 50 feet. At that instant, a is increasing at 100 feet/sec, b is decreasing 20 feet/sec, and c is increasing at 5 feet/sec. Determine if the volume of the box is increasing, decreasing, or not changing at all, at that instant.

Increasing,

Step-by-step explanation:

We are given that

a=150 feet

b=80 feet

c=50 feet

We have to find the volume of the box  of the box increasing,decreasing or not changing at all at that instant.

We know that

Volume of box=

Using the formula

Volume of box,V=abc

Differentiate w.r.t t

Substitute the values

Hence, the volume of the box is increasing .

a; x = 0.5

step-by-step explanation:

-10x = -5

x = 0.5