Answer:
14449 inches^3
Step-by-step explanation:
length+girth=116 inches
w + 4x= 116
volume=x^2*w
w=116-4x
V=x^2* (116-4x)
for max value, dv/dx=0
dv/dx= 232x-12x^2
232x-12x^2=0
x=19.3333
w=116-4(19.33)
=38.67
V=19.33^2*38.67=14449 inches^3
7x6=42 dimes
8x5=40 nickels
42+1=43 dimes
40+1=41 nickels
The given function is
Differentiating
Again differentiating
Substituting the values of y '' and y in
We will get
Perpendicular = opposite sign and reciprocal slope
Make equation y= mx + b
3x + 4y = 24
4y = -3x + 24
y = -3/4x + 6
Now make slope perpendicular
Slope = 4/3
The answer would be B.