The values of x at wich F(x) has local minimums are x = -2 and x = 4, and the local minimums are:
<h3>
What is a local maximum/minimum?</h3>
A local maximum is a point on the graph of the function, such that in a close vicinity it is the maximum value there. So, on an interval (a, b) a local maximum would be F(c) such that:
c ∈ (a, b)
F(c) ≥ F(x) for ∀ x ∈ [a, b]
A local minimum is kinda the same, but it must meet the condition:
c ∈ (a, b)
F(c) ≤ F(x) for ∀ x ∈ [a, b]
A) We can see two local minimums, we need to identify at which values of x do they happen.
The first local minimum happens at x = -2
The second local minimum happens at x = 4.
B) The local minimums are given by F(-2) and F(4), in this case, the local minimums are:
If you want to learn more about minimums/maximums, you can read:
brainly.com/question/2118500
Answer:
(a)|MA|, |MB| and |MC|
(b) |BD|
(c) |BC|
Step-by-step explanation:
An adapted diagram of this question is attached. You can vary the labelled letters as required.
<u>Definition</u>
- A <u>radius </u>is a line drawn from the center of a circle to its circumference.
- A <u>segment </u>is a line that connects two points.
- A <u>diameter</u> is a chord which passes through the center of the circle.
- A <u>chord</u> is any line joining two points on the circles' circumference.
By these definitions:
(a)Segments that are radii of this circle.
We have: |MA|, |MB| and |MC|
(b)Segment that is a diameter of this circle.
|BD|
(c)A chord of this circle that is not a diameter.
|BC|
Answer:
length = 60 foot, width = 30 foot
Step-by-step explanation:
Area of rectangular part, A = 1800 ft²
Cost of fencing three sides is $ 6 per foot and cost of one side fencing is $18 per foot.
Let the length of the rectangle is l and the width of the rectangle is W.
Area = Length x width
A = L x W
1800 = L x W ...... (1)
Total cost of fencing, C = 6 x ( L + W + L) + 18 x W
C = 6 (2L + W) + 18 W
C = 12 L + 24 W
Substitute the value of W from equation (1),
in equation (2)


Differentiate both sides with respect to L:

Put it equal to zero for maxima and minima

L = 60 foot
and W = 30 foot
So, the costing is minimum for length = 60 foot and the width = 30 foot.