Answer:
860
Step-by-step explanation:
Eight hundred and sixty.
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>
Answer:
x = 12
Step-by-step explanation:
5x - 7 = 3x + 17
2x -7 = 17
2x = 24
x = 12
The most appropriate choice for simple interest will be given by- Balance of Jose after 1 year is $1050
What is simple interest?
Simple interest is the interest applied on the principal value after charging some certain percentage of rate for some certain amount of time.
If the principal value is p, rate is r % per annum and time is t years
Simple interest is calculated as
SI = p ₓ r ₓ t / 100
Here,
Principal for Jose = $1000
Rate = 5%
Time = 1 year
Simple interest = 1000x5x1/100
= $50
Amount = $(1000+50)
= $1050
Balance of Jose after 1 year is $1050
To learn more about simple interest, refer to the link:
brainly.com/question/25793394
#SPJ10
Answer:
I think its d
Step-by-step explanation:Because i think that.
