Identify the function's local and absolute extreme values, if any, saying where they occur. f(x) = x^3 + 4x^2 - 3x - 4 A) local maximum at x = -1/3; local minimum at x = 3 B) local maximum at x = -1; local minimum at x = 1 C) local maximum at x = -3; local minimum at x 1/3 D) local maximum at x = -1; local minimum at x = 1

Answers

Answer 1

Answer: C) local maximum at x = -3; local minimum at x = 1/3

Step-by-step explanation:

Given the function:

f(x) = x^3 + 4x^2 - 3x - 4

Set f'(x) = 0

f'(x) = 3x² + 8x - 3

f'(x) = 0

3x² + 8x - 3 = 0

Using the quadratic function calculator :

x = - 3 or x = 1/3

Critical points = - 3 ; 1/3

To find the maximum and minimum points :

f''(x) = 6x + 8

Substitute the values of X in

At x = - 3

6(-3) + 8

-18 + 8 = - 10

At x = 1/3

6(1/3) + 8

2 + 8 = 10

Value of f''(x) at - 3 is negative, hence - 3 is the maximum point

Value of f''(x) at 1/3 is positive , hence 1/3 is the minimum point


Related Questions

a triangle has side lengths of (9.7m-6.8m) centimeters, (6.6m+6.5p) centimeters, and (2.2p-6.4n)centimeters. which expression represents the perimeter, in centimeters, of a triangle?

Answers

Answer:

To find the perimeter of a triangle, you would need  first all three side lengths.  

9.7m-6.8m = 2.9, 6.6m+6.5p=7.1, 2.2p-6.4= -4.2. once I added all the sides it was 5.8.

What’s is ittttt I neeed helppp

Answers

Answer:

n = 14

Step-by-step explanation:

n+4/-2 = -9

n+4 = 18

n = 14

Answer:

n=14

Step-by-step explanation:

n+4/-2 = -9

n+4 = 18

Hope it helps :3

Jenkins wants to draw a scale drawing of a tree in his yard . The scale of his model is 6in to 12ft . If his drawing is 3 in tall, how tall is the rela tree

Answers

The tree is 6 feet tall
Says the scale of his model is 6in to 12 feet meaning every 6 inches he draws is equal to 12 feet of tree so it’s just cutting it in half.
This should be the correct answer if not then more detail needs to be given in question and I will re submit another answer. Thank you

5+5 you get 39 points

Answers

Answer:

10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Use a calculator to find this or simply use your figers and count 5 more starting from 5.

The equivalent ratios show how many teaspoons there are in 5 cups.
1.200 tsp ?tsp
50
10
What method can be used to convert 1 cup to teaspoons?
O multiply 1.200 by 5
O divide 1.200 by 5
multiply 5 by 1
divide 5 by 1,200

Answers

Answer:

divide 1,200 by 5 and the answer is 240

Step-by-step explanation:

did the test got an 100

Answer:

give Dom071 brainliest

Step-by-step explanation:

the answer is b and he got it right, also don't mix up the multiply and divide like I did ;-;

SD and SG are tangent to ⊙ K. Identify SG. HELP!!

Answers

Answer:

63

Step-by-step explanation:

Tangents drawn from external point to a circle are congruent.

Therefore,

SG = SD

8x - 9 = 5x + 18

8x - 5x = 9 + 18

3x = 27

[tex]x = \frac{27}{3} \\ x = 9 \\ SG = 8x - 9 \\ SG =8 \times 9 - 9\\ SG =72 - 9 \\ \huge \red{ \boxed{SG =63}}[/tex]

Answer: 63

Tangents drawn from external point to a circle are congruent.

SG = SD

8x - 9 = 5x + 18

8x - 5x = 9 + 18

3x = 27

Step-by-step explanation: 63

Leah is 2 less than 3 times Rachel's Age. 3 years from now, Leah will be 7 more than twice Rachel's Age. How old will Rachel be in 3 years from now?​

Answers

Answer:

I THINK rachel will be 12

Step-by-step explanation:

I need help and can u explain how to do it please and thank u

Answers

Answer:

[See Below]

Step-by-step explanation:

✦ [tex]Formula:[/tex] π[tex]r^{2}[/tex]

π[tex]6^{2}=113.0973355[/tex]

✦ Round:

[tex]113.0973355=113.1[/tex]

So your answer would be [tex]C[/tex], [tex]113.1 ~cm^{2}[/tex].

~Hope this helps Mate. If you need anything feel free to message me.

Answer:

yes ion think u need my help

Step-by-step explanation:

The length of chen’s office is 15.5 feet and the width is 7.8 feet find of the office

Answers

Answer:

The area of Chen's office (if that's what you're looking for) is 120.9 feet

Step-by-step explanation:

All I did was a = lw, the formula for finding the area of something using length and width

a = lw

a = 15.5 × 7.8

a = 120.9

Hope this helped.


Evaluate the expression |- 178|

Answers

the lines mean that the number is going to become positive. |-178| will become positive meaning it will become= |178|

Answer:

178

Step-by-step explanation:

C is the midpoint of BD. If BC = 6x and BD = 13x - 6, what is BD?
B.
6x
с
D
13x - 6

Answers

Answer:

BD = 72

Step-by-step explanation:

C is the midpoint of BD.

Therefore,

BD = 2BC

13x - 6 = 2*6x

13x - 6 = 12x

13x - 12x = 6

x = 6

BD = 2*6X = 12*6= 72

coeffecient of x in -7xyz2

Answers

☽------------❀-------------☾

Hi there!

~

The coefficient of x in -7xyz2 is -7.

❀Hope this helped you!❀

☽------------❀-------------☾

Find |-22| =
Pls show your work

Answers

Answer:

I think it's 22

Step-by-step explanation:

because it's inverse operations all you do is remove the negative and the barackets

What am I doing wrong in step 5?

Answers

Step-by-step explanation:

t = 9x, and dx = 1/9 dt.

∫ sin(9x) dx

= ∫ sin(t) (1/9 dt)

= 1/9 ∫ sin(t) dt

= -1/9 cos(t)

= -1/9 cos(9x)

Name the property illustrated by each equation.
(6.8)x5 = 6x(8.5)

Answers

Answer:

Commutative Property Of Multiplication

Braden had 216 quarters. If it costs 8
quarters to buy a soda from the vending
machine, how many sodas can he buy?

Answers

Explanation: 216 quarters/8 quarters per bottle = 27

What is 300 million divided by 1 thousand?

Answers

Answer:

the answer is three hundred thousand

300 million / 1 thousand is simply 300 thousand. hopefully this bud helpful!

A virus strain is 0.00000015 meters in length. What is the length in scientific notation?

Answers

Answer:

1.5*10^-5

Step-by-step explanation:

Hey there! I'm happy to help!

Scientific notation is writing a number 1-10 multiplied by ten to a certain power. We see that we can write the number 1.5 to fit this.

We want to multiply by ten to a negative power as the decimal has been moved to the left. Let's count how many times we need to move the decimal over to get to 1.5.

If we count this, we have to move 7 places to get the decimal in the right spot. Therefore, to write this in scientific notation, we would write 1.5×10^-7.

Have a wonderful day! :D

Could I get some help on these please? Will give points.

Answers

Answer:

X=-4, Y=22, idk about the CBD

Step-by-step explanation:

4y+2=90 degrees

subtract 2 on both sides you would get

4y=88 divide 4 with 88 and get 22

solve both X's so 5x+6=3x-2

i would subtract 3x first so i can get

2x+6=-2

then subtract 6 on both sides so you would have

2x=-8 divide -8 with 2 and get -4  

Help me ASAP plssssssssss

Answers

Answer:

Community Parks

Step-by-step explanation:

Answer:

D

Step-by-step explanation: Because they are trying to reserve the parks and the animal life and plant life in it. Hope this helps :)

Someone plzzzzz help meee

Answers

Answer:

3 by 2 triangle

Step-by-step explanation:

9 x 1/3 = 3

6 x 1/3 = 2

then you connect the last line ;-;

A grocery store sells jelly beans in the bulk section for $2.75 a pound. If Wanda buys 1.8 pounds, how much will it cost?​

Answers

Answer:

$4.95

Step-by-step explanation:

If jelly beans cost $2.75 per pound then multiplying the cost per pound by the amount of jelly beans purchased will give the answer of $4.95 per 1.8 pounds of jelly beans.

Find the slope of the line passing through the points (8, 3) and (9, 7)

Answers

Answer:

4

Step-by-step explanation:

Since we have 2 points, we can find the slope using

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

    = ( 7-3)/(9-8)

    = 4/1

   = 4

Given Points:

(8, 3) and (9, 7)

To Find:

The slope of the line passing through the points (8, 3) and (9, 7).

Slope Formula:

y2 - y1 / x2 - x1

Solution:

7 - 3 / 9 - 8

= 4 / 1

= 4

Answer:

4

how to solve |-6y|-9>-1

Answers

Answer:

y < -4/3 or y > 4/3

Step-by-step explanation:

|-6y| -9 > -1Since this is an absolute value inequality, we need two equations to set up to solve for y1st equation:-6y - 9 > -12nd equation:6y - 9 >  -1Solve both equations:-6y-9>-1-6y > 8y < -4/36y -9 > -16y > 8y > 4/3


[tex] \sqrt{2k ^{2} + 17 } - x = 0[/tex]

If k>0 and x=7 in the equation, what is the value of k?​

Answers

Answer:

[tex]k=4[/tex]

Step-by-step explanation:

So we have the equation:

[tex]\sqrt{2k^2+17}-x=0[/tex]

Where:

[tex]k>0\text{ and } x=7[/tex]

And we want to find k.

Firstly, let's substitute 7 for x. So:

[tex]\sqrt{2k^2+17}-7=0[/tex]

Now, we can solve for k. Add 7 to both sides:

[tex]\sqrt{2k^2+17}=7[/tex]

Square both sides:

[tex]2k^2+17=49[/tex]

Subtract 17 from both sides:

[tex]2k^2=32[/tex]

Divide both sides by 2:

[tex]k^2=16[/tex]

Take the square root of both sides:

[tex]k=\pm\sqrt{16}[/tex]

Evaluate:

[tex]k=\pm 4[/tex]

Remember that we are told k>0. In other words, k must be positive. So, we can ignore the negative answer, giving us:

[tex]k=4[/tex]

So, the value of k is 4.

And we're done!

1) What is the absolute value of 50?

Answers

the absolute value of 50 is 50

Answer:

50

I hope this helps!

IS 7 LESS THAN OR GREATER THAN -3

Answers

Answer:

7 is greater than -3

Step-by-step explanation:

7 is positive meaning is more than any negative number

Answer:

7 is greater

Step-by-step explanation:

Graph it on a number line. 7 is on the positive side and -3 is the negative side, and positive numbers always are bigger than negative numbers.

What is 180 times 280

Answers

Answer: 50,400

Step-by-step explanation: 180 times 280 is like multiplying 180 by 280 times.

We can write 180 times 280 like this; 180 x 280.

180 x 280 = 50,400

Answer:

50,400

Step-by-step explanation:

180×280=50,400

Who can get it right?
I had £3.00.
My Mom gave me £10.00.
My Dad Gave me £30.00.
My Aunt & Uncle gave me £100.00.
I had another £7.00.
How much did I have?
Right answer will get deleted.
I won against Laura leadbetter​

Answers

the answer is 150 dollars

Step-by-step explanation:

I know this because you add

We want to perform a sum of various values. We will find that the total amount of money that you have is £150.00

We know that:

You initially have £3.00.Your Mom gives you £10.00.Your Dad gives you £30.00.Your Aunt & Uncle given you £100.00.You had another £7.00.

So the total amount of money that you have is the sum of all these values, we will get:

£3.00 + £10.00 + £30.00 + £100.00 + £7.00 = £150.00

Then the total amount that  you have is: £150.00

If you want to learn more, you can read:

https://brainly.com/question/19245500

Find the equation of the line that has the given properties. Express the equation in slope-intercept form.
Slope = -9; y-intercept = 5
What is the equation of the line?

Answers

Answer:

y = -9x +5

Step-by-step explanation:

Slope = -9

y-intercept = 5

In [tex]y = mx +b[/tex] ;

m = slope

b = y-intercept

So just replace -9 for m and 5 for b in slope intercept form;

[tex]y = -9x +5[/tex]

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