How do you determine the absolute maximum and minimum values of a continuous function on a closed​ interval?

Answers

Answer 1

Answer:

Steps are detailed below.

Step-by-step explanation:

The steps to determine the absolute maximum and minimum values of a continuous function on a closed​ interval are;

For example, if we have a function f(x) = x³ - 3x + 2 on the interval (-3, 4)

The steps are;

Step 1:

We will find the first derivative of f(x) which is; f'(x) = 3x² - 3.

Then we will find the critical values of this derivative. The critical values are the values of x that makes f'(x) = 0. But these critical values must fall in between the given interval (-3, 4)

Step 2:

Plug in the critical values gotten in step 1 above into the original f(x) function and note down the answers.

Step 3;

Plug in the endpoint values on the interval (-3, 4) given in the question into the original f(x) function and note down the answers.

Step 4;

The highest and lowest values of f(x) gotten in steps 2 & 3 are the absolute maximum and absolute minimum values respectively of the continuous function f(x).


Related Questions

help me with this please i’ll give u a cookie

Answers

Answer:

B

Step-by-step explanation:

The flat rate is 30, and the changing value is 45 extra for every hour, h. The equation should be C=45h+30

Answer:

B

Step-by-step explanation:

The flat rate is 30, and the changing value is 45 extra for every hour, h. The equation should be C=45h+30

Which only lists multiples of 18? O 1,2,3, 4, 6, 9, 18 O1,2,3, 6, 9, 18 O 18, 27, 36, 45 18, 36, 54,72


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  .   .      .     。   。 .
 .   。  ඞ 。  . •
• Red_kid was not the Impostor. 。 .​

Answers

Answer: 18,36,54,32

Step-by-step explanation:

The money spent, M , purchasing burritos at a particular fast food restaurant varies directly with the number of burritos purchased, B. When 12 burritos are purchased, $45 is spent. How much money is spent if 28 burritos are purchased? S​

Answers

Answer:

multiply 3.75 to 28 and it equals 105

Step-by-step explanation:

The amount of money spent to buy 28 burritos will be $105.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the money spent, M, purchasing burritos at a particular fast food restaurant varies directly with the number of burritos purchased, B. When 12 burritos are purchased, $45 is spent.

The money required to purchase 28 burritos will be calculated as:-

12 burritos = $45

1 burrito = 45 / 12

28 burritos = ( 45 / 12 ) x 28

28 burritos = $105

Therefore, the amount of money spent to buy 28 burritos will be $105.

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Beleaguered State Bank (BSB) holds $400 million in deposits and maintains a reserve ratio of 10 percent.

Answers

Deposits are worth 400 million and since reserve ratio is 10%, required reserves are 40 million and ;loans outstanding are worth 360 million Beleaguered State Bank Assets Liabilities Reserve

x+ y2 + 16x– 14y + 49 = 0
What is the center of this circle ?

What is the radius of this circle ?

Answers

Answer: center: (-8,7)

radius: 8

Step-by-step explanation:

The point-slope form of the equation of the line that passes through (-4, -3) and (12, 1) is y-1 =1/4 (x – 12). What
is the standard form of the equation for this line?

Answers

Answer: y=1/4x - 2

Step-by-step explanation: The easiest way to solve this would be to graph it in point-slope form then find the slope and y-intercepts. Try using desmos for that method. There are multiple ways to convert point-slope to standard, however, and I would suggest talking to your teacher to see which method s/he prefers you use. Let me know, and I can help you more if you need it.

Hope this helps,

Lacia :))

slope = 3/2, (2,7) is on the line

Answers

Answer:

The answer would be 4.5

The average cost of a compact car at a certain dealership over the last 10 years has ranged from $15,000 to $24,500. Suppose you were going to plot these points on a coordinate grid. (a) What is a good scale [range] would be good to use for the y-axis to make a nicely sized graph? Explain your reasoning. (b) What is a good interval [step size] would be good to use for the y-axis to make a nicely sized graph? Explain your reasoning. (c) What is a good scale [range] would be good to use for the x-axis to make a nicely sized graph? Explain your reasoning. (d) What is a good interval [step size] would be good to use for the x-axis to make a nicely sized graph? Explain your reasoning. Note: The step size the distance between the marks on the graph, and the range is the maximum and minimum values (ex: -10 to 10).

Answers

Answer:

this is what i did i apologize if i’m late and u no longer need the answer or if i’m wrong

Step-by-step explanation:

-3.6 divided by -0.75

Answers

Answer:

4.8

Step-by-step explanation:

the two negatives cancel each other

Answer:

4.8

Step-by-step explanation:

Since both numbers are in negative form and a division is supposed to occur, take away the negative so that the division can properly occur:

3.6 ÷ 0.75

Now simplify:

4.8

If you found my answer helpful

Pls consider marking my answer as Brainliest! It would mean a lot!

About 3.9×10^7 people live in California. About 1.7×10^6 people live in Idaho. About how many more people live in California than live in Idaho?

Answers

Answer:

37.3 x 10⁶

Step-by-step explanation:

Given parameters:

Number of people in California = 3.9 x 10⁷

Number of people in Idaho = 1.7 x 10⁶

Unknown:

How many more people live in California than live in Idaho = ?

Solution:

To find the number of people living in California more than Idaho, simply find the differences between the number of their population;

     =   3.9 x 10⁷  - 1.7 x 10⁶

    = 39 x 10⁶ - 1.7 x 10⁶

    = (39 - 1.7) x 10⁶

   = 37.3 x 10⁶ people

So, 37.3 x 10⁶ more people live in California than Idaho

If a Ferris wheel takes 45 seconds to make a complete rotation, how many rotations will it complete in 3 hours?

Answers

Answer:240 rotations

Step-by-step explanation: 1 rotation/45 seconds * 60 seconds / minute * 60 minutes / hour * 3 hours = 3600*3/45 = 240 rotations

Please help I would super appreciate it thank you so much

Answers

A) the constant of proportionality is 70

B) the equation is y=7x

C) if he had 23 people it would be $161

Answer: the answer is 7 dollars for 1 guest

Step-by-step explanation:

Cherries are a popular grocery item at the holidays for making desserts. If 4 pounds of
cherries at Price Chopper cost $10.50 and 6 pounds cost $15.60 at Target, which store
has the better deal on cherries? Round to the nearest hundreths.
Unit Rate at Price Chopper: $
per pound
Unit Rate at Target: $
per pound
Which is a better buy? (Enter Price Chopper or enter Target)

Answers

Answer:unit price at chopper: 2.625/lb

unit price for target:2.6lb

target

Step-by-step explanation:

4 tens + 14 ones = 5 tens + ___ ones

Answers

Answer:

that equation isnt set up right

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

40+14=54 and 50 = 4 + 54

Hope this helps :)

I need help ASAP thank u

Answers

Answer:

im pretty sure the answer is a

Step-by-step explanation:

and follow me plz

The answer is in my opinion is a

A customer will get gallons for 3.50

Answers

What is the question? For any amount of gallons you would multiply 3.50 to get the totally price. Hope this helps!

Answer:

What is the question?

Step-by-step explanation:

If its how much will it cost to get ____ gallons

Just multiply the number of gallons you want and 3.50 (the price)

Again, I don't really know what your question is, but I'm saying this so that if what I put up there is actually what your question was, you don't have to make another one. (I'm not sure if you can edit questions or not.)

Please Assist!
What is the answer to this question???

Answers

Answer:

[tex](3.5,0.5)[/tex]

Step-by-step explanation:

Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )[/tex]

Simply plug in your coordinates into the midpoint formula to find midpoint:

P(5, -3)

Q(2, 4)

[tex](\frac{5+2}{2},\frac{-3+4}{2} )[/tex]

[tex](\frac{7}{2},\frac{1}{2} )[/tex]

[tex](3.5,0.5)[/tex]

A push lawnmower is priced at $299.50. There is an 8% sales tax rate. What is the sales tax of the pusher lawnmower in dollars and cents?

Answers

Answer:

$323.46

hope this helped :)

$323.46
$299.50 + 23.96 = 323.46

What is the sign of the product (3)(−25)(7)(−24)?

A. Positive, because the products (3)(−25) and (7)(−24) are negative, and the product of two negative numbers is positive
B. Positive, because the products (3)(−25) and (7)(−24) are positive, and the product of two positive numbers is positive
C. Negative, because the products (3)(−25) and (7)(−24) are negative, and the product of two negative numbers is negative
D. Negative, because the products (3)(−25) and (7)(−24) are positive, and the product of two positive numbers is negative

Answers

I think it is B because I had that

Find the value of x for which line a is parallel to line b .

Answers

Answer:

x = 20

Step-by-step explanation:

For a and b to be parallel, they must both add up to 180. Therefore, we can set up an equation:

3x+6x = 180

9x = 180

x = 20

Answer: X=20

Step-by-step explanation: Angle 4 and angle 5 are same side interior angles which means they are supplementary(180) and 3x+6x=180 would simplify to 9x=180 and by dividing 180/9 you get x=20.

which equation choice could represent the graph shown below?

Answers

Answer:

The answer is...

f(x)=(x-3)+(x+3)

I think this is the answer. I haven't done this kind of math in a while so...

The chosen equation, (x +3)(x + 3) = 0, will serve as a representation of the provided graph.

What is a Quadratic equation?

ax²+bx+c=0, with a not, equals 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.

given a Graph of a quadratic equation.

Contrarily, parabolas are used to graph quadratic equations. In other words, the data will be displayed as either an "open" or "upside-down" U-shaped curve. The graph is always quadratic if you are drawing a graph from a function and the equation involves x².

in this graph, we can observe that graph has only one root at x = -3

therefore the equation of the Given parabola is

(x + 3)² = 0

or

(x +3)(x + 3) = 0

therefore, the equation choice could represent the graph given will be (x +3)(x + 3) = 0.

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What equation could be used to represent the verbal representation below?
Sanju wants to sell his artwork at a local fair. He has created 10 pieces of artwork and has spent $44 in creating them. He wants to make a profit of $300 at the fair. What is the price he needs to sell each piece to make that profit?

Answers

Answer:

10p=300+44

Step-by-step explanation:

Answer: 10x = 44 + 300.

Step-by-step explanation: The 10 pieces of artwork will be sold by an x amount of money, should equal the $300 profit plus the $44 expenses.


Please with a cherry on top help me solve this. I will give you brainliest. Thanks.

Answers

You spent 5 hours watering flowers that day, because you charge $7 for coming so 27-7=20 and 20/4=5 :)

complete the statement:

Answers

Angle 12 and Angle 10 are vertical angles.

7(10x+5-9x)=70
I rly need help on this

Answers

Answer:

x = 5

Step-by-step explanation:

1. Combine like terms

2. Multiply by 1

3. Distribute

4. Subtract  3

5  from both sides of the equation

5. Simplify

6. Divide both sides of the equation by the same term

7. Simplify

Answer: x=5

Step by Step Explanation:
7(10x+5-9x)=70 distributive property
70x+35-63x=70 subtract common terms
7x+35=70 subtract both sides by 35
7x=35 divide both sides by 7
x=5

For each situation, an inequality is written. Which one has an incorrect inequality?
A Three less than a number is greater than negative four and less than negative one; - 4 B The minimum speed on a highway is forty miles per hour and the maximum speed is
seventy-five miles per hour; 40 58 575
с
The temperature in the classroom is uncomfortable if the temperature is lower than or equal to
60 degrees or higher than or equal to 75 degrees; t < 60 or t > 75
D
All real numbers that are greater than or equal to -
-75 or less than or equal to zero; z < 0 or 22 -75

Answers

Answer:

The answer is D

write a word phrase for x/4-17

Answers

Answer:

a number  x  divided by four, minus seventeen

or

seventeen less than a quarter of a number  x

or

a quarter of  x  take away seventeen

Step-by-step explanation:

There's a variable in the expression so we can just say "a number x". We are dividing that unknown number by four, so we can say x divided by four, or since dividing by four is multiplying by one fourth, we can say one fourth of x  or a quarter of x  (especially since 'of' in math means multiplication).  Then we have to subtract seventeen. We could leave it as minus seventeen at the end, or we could say seventeen less than a fourth of x or take away seventeen. As can be seen, there are numerous ways to go about 'verbalizing' the expression, or any expression for that matter. Think creatively!

Alan Jeff and Lucy all take their pets to the same vet. The pets are a dog a cat and a rabbit. The names of the pets are Blackie bandit and Moe. Read the clues to determine the kind of pet each owner has and the name of the pet. Mark the correct boxes on the grid to show your answers.

Answers

Answer:

i need at least a pick of the problom

Step-by-step explanation:

Answer:

huh?

Step-by-step explanation:

2 ÷ 16/7 then put it in its simplest form (it will be a mixed number)​

Answers

Answer:

1 1/7

Step-by-step explanation:

Answer:

8/7

Step-by-step explanation:

16/7=[tex]\frac{16}{7} \\[/tex] then divide it by 2 and you get 8/7

does anyone know how to do this ??

Answers

Answer:

I may be wrong but I believe it is 106°

Step-by-step explanation:

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