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Darya [45]
3 years ago
15

find the local and/or absolute extrema for the function over the specified domain. (Order your answers from smallest to largest

x.) f(x)

Mathematics
1 answer:
Arlecino [84]3 years ago
5 0

Answer:

Minimum 8 at x=0, Maximum value: 24 at x=4

Step-by-step explanation:

Retrieving data from the original question:

f(x)=x^{2}+8\:over\:[-1,4]

1) Calculating the first derivative

f'(x)=2x

2) Now, let's work to find the critical points

Set this

2x=0\\x=0    

0, belongs to the interval. Plug it in the original function

f(0)=(0)^2+8\\f(0)=8

3)  Making a table x, f(x) then compare

x|  f(x)

-1 | f(-1)=9  

0 | f(0)=8   Minimum

4 | f(4)=24 Maximum

4) The absolute maximum value is 24 at x=4 and the absolute minimum value is 8 at x=0.    

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El numero de libros vendidos en una tienda aumentó aproximadamente de 6000 a 9000 durante varios meses cual porcientorepresenta
Aleksandr-060686 [28]

Answer:

50%

Step-by-step explanation:

To calculate the percentage of increase, what we must do divide the two quantities, in this way we will be able to know how bigger they are from each other. So:

9000/6000 = 1.5

Now, we subtract those from 1, which would be 100%

1.5 - 1 = 0.5

therefore the increase was 50%

6 0
3 years ago
There are 24 fish in an aquarium. If 1/8 of them are tetras, and 2/3 of the remaining fish are guppies, how many guppies are in
kiruha [24]

Answer:

14 guppies

Step-by-step explanation:

1/8th of 24 is 3 which leaves 21 remaining

2/3 of 21 is 14 as each third is 7

8 0
3 years ago
What is the area of a circle with the diameter of 10
allochka39001 [22]
The area of a circle with a Diameter of 10 is 78.54
5 0
2 years ago
What is the measure of c?<br> a = 15<br> j = 24<br> k = 32
inessss [21]

Answer:

The answer to your question is c = 20

Step-by-step explanation:

Data

a = 15

j = 24

k = 32

c = ?

Process

Use proportions to solve this problem. Compare the small triangle and the large triangle.

1.- Proportion of the small triangle

             c/15

2.- Proportion of the large triangle

            k/j

3.- Equal but terms and solve for c

            c/15 = k/j

-Substitution

            c / 15 = 32/24

            c = 32(15)/24

-Result

            c = 20

       

4 0
3 years ago
Is this righ or not please say me​
Ksju [112]

Answer:

Step-by-step explanation:

It's right

6 0
2 years ago
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