The area of the garden enclosed by the fencing is
A(x, y) = xy
and is constrained by its perimeter,
P = x + 2y = 200
Solve for x in the constraint equation:
x = 200 - 2y
Substitute this into the area function to get a function of one variable:
A(200 - 2y, y) = A(y) = 200y - 2y²
Differentiate A with respect to y :
dA/dy = 200 - 4y
Find the critical points of A :
200 - 4y = 0 ⇒ 4y = 200 ⇒ y = 50
Compute the second derivative of A:
d²A/dy² = -4 < 0
Since the second derivative is always negative, the critical point is a local maximum.
If y = 50, then x = 200 - 2•50 = 100. So the farmer can maximize the garden area by building a (100 ft) × (50 ft) fence.
7 or 12 as both are more that the square of 9 (3)
Answer:
When flipping a fraction it is called the reciprocal
Step-by-step explanation:
Only a sample of the blue jay population was measured because it would be impossible to measure the entire population. The population of blue jays is all of the blue jays in the world. It would not be possible to measure all of them.
After 30 minutes from the time recipe is kept in the oven, then the temperature of the oven is kept at 350 °F.
<h3>What is a function?</h3>
The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
A pumpkin pie recipe says to bake the pie at 425°F for 15 minutes, and then to adjust the temperature down to 350°F for 45 additional minutes.
The function P(t) gives the oven temperature setting t, in degrees Fahrenheit, t minutes after the pie is placed in the oven.
Diego discovers that the temperature inside the oven is always 25 degrees warmer than the oven’s temperature setting.
The function B gives the actual temperature of Diego’s oven.
If P(30) = 350. Then the corresponding point on the function B will be
The temperature function can be written as

The value of t = 30 lies in the interval of 15 < t ≤ 60.
After 30 minutes from the time recipe is kept in the oven, then the temperature of the oven is kept at 350 °F.
More about the function link is given below.
brainly.com/question/5245372
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