The mass of a particular substance is known to grow exponentially at a rate of 1.5% per day. Its initial mass was 230 grams and,
1 answer:
You might be interested in
Answer:
See below:
Step-by-step explanation:
We can use the Pythagorean Theorum to find out the missing side because we have a 90 degree right angle and 2 sides already given to us.
The Pythagorean Theorem states that a^2 + b^2 = c^2
<em>a </em>in this case would be the shortest side,
<em>b </em>in this case would be the 2nd longest side,
<em>c </em>is the hypotenuse.
If we solve this, we get 8!
Cheers!
Answer:
Maximum value:
Minimum value:
Step-by-step explanation:
Let , the restriction function.The Lagrange Multiplier problem states that an extreme (x1, ..., xn) of f with the constraint g(x) = 9 has to follow the following rule:
for a constant .
Note that the partial derivate of f respect to any variable is 1, and the partial derivate of g respect xi is 2xi, this means that
Thus,
Where c is a constant that doesnt depend on i. In other words, there exists c such that (x1, x2, ..., xn) = (c,c, ..., c). Now, since g(x1, ..., xn) = 9, we have that n * c² = 9, or
When c is positive, f reaches a maximum, which is
On the other hand, when c is negative, f reaches a minimum,