Michael
Michel Can travel 70 mile on one gallon which is 1400 miles on 20 gallons
Laura can only travel 26 miles on one gallon which is 520 miles on 20 gallons
<span>how many feet= 1mile
how many minutes = 1hr
5280ft=1mile
60mins=1hr
5280ft x 45mi = 237600
divide by 60
3960 ft per minute</span>
Not clear.
Step-by-step explanation:
How much does the original mixture produce? is the original 1 quart? 1 gallon? 1 cup?
For the derivative tests method, assume that the sphere is centered at the origin, and consider the
circular projection of the sphere onto the xy-plane. An inscribed rectangular box is uniquely determined
1
by the xy-coordinate of its corner in the first octant, so we can compute the z coordinate of this corner
by
x2+y2+z2=r2 =⇒z= r2−(x2+y2).
Then the volume of a box with this coordinate for the corner is given by
V = (2x)(2y)(2z) = 8xy r2 − (x2 + y2),
and we need only maximize this on the domain x2 + y2 ≤ r2. Notice that the volume is zero on the
boundary of this domain, so we need only consider critical points contained inside the domain in order
to carry this optimization out.
For the method of Lagrange multipliers, we optimize V(x,y,z) = 8xyz subject to the constraint
x2 + y2 + z2 = r2<span>. </span>
A) $11.63
B) 7.5% tax on something that is $11.63 would be $.87225
C) total cost with sale and tax would be $12.50
