Answer:
Side of square bottom=6.46 m
Height of box=4.31 m
Step-by-step explanation:
Let s be the side bottom
Height of box=h
Volume of box=
Volume of box=
Cost of bottom=$40 per square m
Cost of sides =$30 per square m
Total cost=
Differentiate w.r.t s
Again,differentiate w.r.t s
Substitute s=6.46
Hence, the cost is minimum at s=6.46
Side of square bottom=6.46 m
Height of box=4.31 m
Answer:
a)
b) The inverse function is a reflection of the original function across the line
y = x. For example, if the function f applied to an input x gives a result of y, then applying its inverse function g to y gives the result x. So you would use it to find the x-value at a y just like you use the original to find the y value at an x.
Step-by-step explanation:
To do an inverse of a function you first switch the independent variable (d) and the dependent variable (c).
d = 0.45c + 5.50
Then you solve for c
d - 5.50 = 0.45 c
c = (d-5.50)/0.45