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>
The number of dollars for one peso is 20 dollars.
Exchange rate is the rate at which one currency is exchanged for another currency.
In order to determine how many pesos can be exchanged for a dollar, the value of pesos would be divided by the amount of dollars exchanged.
Exchange rate = 5000 / 250 = 20 dollars
This means that 1 peso would be exchanged for 20 dollars.
A similar question was answered here: brainly.com/question/18236223
Answer:
look below bestie
Step-by-step explanation:
ok so i dont know most of it (sryy) but the area of the entire pizza is 535.84in², the radius of the pizza is about 13.05 and yea. thats all i got
Answer:1608.5
Step-by-step explanation:
About A. 25 grams because glasses are really not heavy at all and the other options are way too illogical.
Hope this helps!
