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2 years ago

A method for determining whether a critical point is a minimum. True or false?

Mathematics

1 answer:

natita [175]2 years ago

7 0

Answer:

We can find if a critical point is a local minimum or maximum by looking at the second derivatives.

Step-by-step explanation:

If you take the first derivative, you will find the slope at the given point, which if it is a minimum or a maximum will be 0.

Then we take the second derivative. If that number is a positive number, then we have a local minimum. If it is a negative number, then it is a local maximum.

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Round 3550 to nearest 1000

ICE Princess25 [194]

3550 to the nearest 1000 would be 4000

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2 years ago

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farmer joe is enclosing a rectangular area on his arm for his chicken with 200 feet of fencing that he recently acquired in a tr

Llana [10]

For this case, the area is given by:
A = x * (200-2x)
Rewriting:
A = 200x-2x ^ 2
Deriving the expression we have:
A '= 200-4x
Equaling zero we have:
200-4x = 0
We clear x:
4x = 200
x = 200/4
x = 50 feet
Then, the maximum area is:
A (50) = 50 * (200-2 * 50)
A (50) = 5000 feet ^ 2
Answer:
the maximum possible area that can be enclosed with his 200ft of fencing is:
A (50) = 5000 feet ^ 2

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2 years ago

A company invests $10,000 in a mutual fund account that earns a fixed

olga55 [171]

Answer:

a(t)=10000+1.08t

Step-by-step explanation:

Alt)

10,800.00

11,664.00

12,597.12

5 0

3 years ago

Find the value of (3 + 4)2

elena55 [62]

Answer:

Step-by-step explanation:

We solve this by using 2 to open the bracket

(3+4)2 is the same as 2(3+4)

2(3)+2(4)

=6+8

=14

(3+4)2 is the same as 2(3+4)

So we can solve the one inside the bracket first

=2(7)=14

6 0

2 years ago

Function 1: y = 4x + 5 Function 2: The line passing through the points (1, 6) and (3, 10). Which of these functions has the grea

Gwar [14]

Answer:

Step-by-step explanation:

function 1 : y = 4x + 5

In y = mx + b form, which is what ur equation is in, the slope can be found in the m position. So the slope of this function is 4.

function 2 : (1,6),(3,10)

slope = (y2 - y1) / (x2 - x1)

(1,6)...x1 = 1 and y1 = 6

(3,10)...x2 = 3 and y2 = 10

now we sub

slope = (10 - 6) / (3 - 1) = 4/2 = 2

B. Function 1, because the slope is 4 and the slope of function 2 is 2. <==

8 0

2 years ago

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