The vectors
are linearly independent if the ONLY solution to the following equation:
is
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 additional true statement that would need to be given in order to state the conclusion using the law of detachment is 49,700 is divisible by 100.
<h3 /><h3>What is law of detachment?</h3>
Law of detachment states that if a facts is true and its hypothesis is true, then its conclusion is true.
For instance,
Statement A: If there's an increase in Mr Charles salary.
Statement B: Mr Charles buys bicycle for his son.
This means Mr Charles buying bicycle for his son is true because of the increase in income.
Learn more about law of detachment:
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Answer:
Step-by-step explanation:
since g(x) is equal to 
, you just plug in the value of 2 for x, to get 
, and 2 to the power of 2 (also known as 2 squared) is equal to 4, which makes your equation 
, which equals 5.
