Whats the solutions!?? look at the picture
1 answer:
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Answer:
<em>The largest rectangle of perimeter 182 is a square of side 45.5</em>
Step-by-step explanation:
<u>Maximization Using Derivatives</u>
The procedure consists in finding an appropriate function that depends on only one variable. Then, the first derivative of the function will be found, equated to 0 and find the maximum or minimum values.
Suppose we have a rectangle of dimensions x and y. The area of that rectangle is:
And the perimeter is
We know the perimeter is 182, thus
Simplifying
Solving for y
The area is
Taking the derivative:
Equating to 0
Solving
Finding y
The largest rectangle of perimeter 182 is a square of side 45.5
9514 1404 393
Answer:
- f(g(2)) = 14
- g(f(-2)) = 91
Step-by-step explanation:
g(2) = 4(2^2) -9 = 4(4) -9 = 7
f(7) = 7+7 = 14
f(g(2)) = 14
__
f(-2) = -2 +7 = 5
g(5) = 4(5^2) -9 = 4(25) -9 = 91
g(f(-2)) = 91
