There are 130 people in a sport centre. 73 people use the gym. 62 people use the swimming pool. 58 people use the track. 22 peop
1 answer:
You might be interested in
Answer:
<em>c=6, d=2</em>
Step-by-step explanation:
<em>Equations </em>
We must find the values of c and d that make the below equation be true
Let's cube both sides of the equation:
The left side just simplifies the cubic root with the cube:
On the right side, we'll simplify the cubic root where possible and power what's outside of the root:
Simplifying
Equating the powers of x and y separately we find
c=6
5=3+d
d=2
The values are
First check for the critical points of <em>f</em> by checking where the first-order derivatives vanish.
Notice how the point (1, 2) lies on the line <em>y</em> = 2<em>x</em> ; at this point, we get a value of <em>f</em>(1, 2) = -5 (MIN).
Next, check the points where the boundary lines intersect, which occurs at the points (0, 0), (0, 2), and (1, 2). We already checked the last one. We find <em>f</em>(0, 0) = 1 (MAX) and <em>f</em>(0, 2) = -3.
Now check on the boundary lines themselves. If <em>x</em> = 0, then
which has a maximum value of -3 when <em>y</em> = 2 (so we get the same critical point as before).
If <em>y</em> = 2, then
with a maximum of -5 when <em>x</em> = 1.
If <em>y</em> = 2<em>x</em>, then
with the same maximum of -5 when <em>x</em> = 1.