How do I Determine whether Rollie's theorem can be applied to F on the closed interval (AB) F of X = -x squared

Answers

Answer 1

Answer:

See Explanation

Step-by-step explanation:

Your question is incomplete. I will take the complete question as:

[tex]f(x) = -x^2[/tex]

[tex]Interval: [-1,1][/tex]

Required

Determine whether Rollie's theorem can be applied or not

First, find the coordinates of the endpoints on the closed interval [-1, 1]

[tex]f(x) = -x^2[/tex]

[tex]f(-1) = -(-1)^2 = -1[/tex] ------ [tex](-1,-1)[/tex]

[tex]f(1) = -(1)^2 =-1[/tex] ---- [tex](1,-1)[/tex]

Find the derivative of f(x)

[tex]f(x) = -x^2[/tex]

[tex]f'(x) = -2x[/tex]

Calculate the slope (m) of the secant line i.e. [tex](-1,-1)[/tex] and [tex](1,-1)[/tex]

[tex]m = \frac{-1 - (-1)}{1 - (-1)}[/tex]

[tex]m = \frac{-1 +1}{1 +1}[/tex]

[tex]m = \frac{0}{2}[/tex]

[tex]m=0[/tex]

Set the derivative to the calculated slope:

[tex]f'(x) = m[/tex]

[tex]-2x = 0[/tex]

[tex]x=0[/tex]

Plug in 0 for x in f'(0)

[tex]f'(x) = -2x[/tex]

[tex]f'(0) = -2 * 0[/tex]

[tex]f'(0) = 0[/tex]

Since f'(0) is differentiable at x = 0. We can conclude that Rollie's theorem can be applied


Related Questions

40 times 30 equals whatttttttt

Answers

Answer:

1200 is your awnser

Step-by-step explanation:

A marble is selected from a bag containing eight marbles numbered 1 to 8.
The number on the marble selected will be recorded as the outcome.
Consider the following events.
Event A: The marble selected has an odd number.
Event B: The marble selected has a number from 3 to 6.
Give the outcomes for each of the following events.
If there is more than one element in the set, separate them with commas.
(a) Event "A and B":
mm
(b) Event "A or B".
X
?
(C) The complement of the event B: {I}

Answers

Answer:

here you go

Step-by-step explanation:

Is the product of greater or less than ? Is it
easier to compare the product to using the number
line or area model? Explain.
5
8

Answers

Answer:

3/5 x 5/8 is less 5/8

Step-by-step explanation:

3/5 x 5/8 = 15/40

Simply

15/40 = 3/8

5/8 > 3/8

Which of the following shows the correct steps to find the value of
1
? (1 point)
83
O
83 = (43)3 = (4)
= 4
()() -
088=(23) =(2,394 = 2
O &$=(20) = (2+3)=
2+
= 16
О
164 = (82)4 = (8)
= 8

Answers

9514 1404 393

Answer:

  b, d

Step-by-step explanation:

When you're taking the cube root, the thing you're taking the cube root of is best expressed as a cube.

You know that 2^3 = 8 and 3^3 = 27, so any other representation of 8 or 27 is irrelevant to the problem.

The appropriate choices are the second and fourth ones (B, and D).

plz answer. Its urgent. thanks​

Answers

Answer:

[tex] a = \dfrac{5}{18} [/tex]

[tex]b = -\dfrac{1}{18}[/tex]

Step-by-step explanation:

You need to rationalize the fraction.

[tex] \dfrac{1}{5 + \sqrt{7}} = a + b\sqrt{7} [/tex]

[tex] \dfrac{1}{5 + \sqrt{7}} \times \dfrac{5 - \sqrt{7}}{5 - \sqrt{7}} = a + b\sqrt{7} [/tex]

[tex] \dfrac{5 - \sqrt{7}}{25 - 7} = a + b\sqrt{7} [/tex]

[tex] \dfrac{5 - \sqrt{7}}{18} = a + b\sqrt{7} [/tex]

[tex] \dfrac{5}{18} - \dfrac{1}{18}\sqrt{7} = a + b\sqrt{7} [/tex]

[tex] a = \dfrac{5}{18} [/tex]

[tex]b = -\dfrac{1}{18}[/tex]

ANSWER THIS PLZZZZZZ

Answers

Answer:

dude all you have to do is add it up its A or B

Answer:

E

Step-by-step explanation:

3. Find the height of rectangle with area (2x^2-9x+9) ft^2 and width (2x-3) ft

Answers

Answer:

The height of the area is (x - 3) ft.

Step-by-step explanation:

You can do this a few ways.  You could use long division to divide the area by the width, or you could just factor the area, which is guaranteed to have the width as a factor, leaving you with the height.

Let's go with factoring, as that's probably what this question is intended as:

[tex]= \frac{2x^2 - 9x + 9}{2x - 3} \\\\= \frac{2x^2 - 6x - 3x + 9}{2x - 3} \\\\= \frac{2x(x - 3) - 3(x - 3)}{2x - 3} \\\\= \frac{(2x - 3)(x - 3)}{2x - 3} \\\\= x - 3[/tex]

What is the slope of this line?​

Answers

Answer:

3/4

Step-by-step explanation:

Gradient=6/8=3/4

Explanation: you have to find 2 points that fit on the coordinate plane as whole number (0,1) and (4,4) could work. Next you do y² - y over x² - x. Which would make the slope 3/4.

Answer: 3/4

y = 5х – 7
—3х – 2 y = -12

Answers

[tex]-3x-2(5x-7)=-12\\-3x-10x+14=-12\\-13x=-26\\x=2\\\\y=5(2)-7\\y=10-7\\y=3[/tex]

Answer:

[tex](x, y) = (-\frac{29}{2}, -12)[/tex]

Step-by-step explanation:

[tex]-12 = 5 x ( -\frac{29}{2} ) - 7 - 3 x ( -\frac{29}{2} ) - 2 x (-12) = -12[/tex]

PLEASE FOR THE LOVE OF GOD
SOMEONE HELP ME PLS 4. If S(1)= 12 and S (n)= S (n-1) - 4 then which of the following represents the value of S (40)?
(1) -148
(3) -144
(2) -140
(4) -172

Answers

Answer: (4)

Step-by-step explanation:

Jose brought 9 pounds of rice for $4. How many pounds of rice did he get per dollar?​

Answers

Answer:

1.5 pound ever dollar

Step-by-step explanation:

just calculate

Answer:

2.25 answer

Step-by-step explanation:

9÷4=2.25answer thanks

simplify this please (45)(26)

Answers

Answer:

1170

Step-by-step explanation:

45 times 26

Answer:

1170

45x26=1170

Can someone plssssss help me I need help on what is 2/7 divide by 7/8

Answers

Answer:

Answer is 0.3265

Step-by-step explanation:

I hope it's helpful!

what is the degree of the function f(x)=x⁴-5x+8+x²?​

Answers

First put it in decreasing power according to x.

x^4-5x+8+x^2

=x^4+x^2-5x+8

Now this question is asking what is the highest degree of x you see in this function.

4 of course.

Therefore the answer to his question is degree of 4.

Done!



Miss Van invested some money by using the app e-trade. She tracks her

gains and losses using the app on her phone. Miss Van receives a daily

notification that updates her on all her transactions from the previous day.

This morning, her notification read as follows: Yesterday's investment

activity included a loss of $500, a gain of $740, and another gain of $120.

Log in now to see your current balance. Write an integer to represent the

highlighted box.

Answers

Answer:

$360

Step-by-step explanation:

Gains represents additions to her account while losses represent substractions

-$500

+740

+120                                                                                                                        ________

$360

A plant currently measures 5.5 inches tall and will grow at a rate of 1 inch per week. Andrew wants to graph this information for his Science Fair project. If x represents the number of weeks and y represents the height of the plant, which choice below correctly describes the y-intercept in this relationship?
(5.5, 0)

(0,1)

(0, 5.5)

(1, 5.5)

Answers

Answer:

0, 5.5

Step-by-step explanation:

when they ask for a y-intercept, x is always zero, so now we eliminate two of the answers, and we will only have (0, 1) or (0, 5.5). At the beginning of the question it said a plant is currently at 5.5, so it started as 5.5 (0, 5.5)

so THE ANSWER IS  (0, 5.5)

PLZ MARK ME AS BRAINLIEST.

7.

Find the range of f(x) = –2x – 5 for the domain {–2, –1, 1, 2}.


A. {–1, –3, 7, 9}

B. {1, 3, 5, 7}

C. {–1, –3, –7, –9}

D. {–1, –3, 3, 5}

Answers

Answer: C) [-1,-3,-7,-19]

Step-by-step explanation:

Range = {-2(-2) - 5, -2(-1) - 5, -2(1) - 5, -2(2) - 5} = {4 - 5, 2 - 5, -2 - 5, -4 - 5} = (-1, -3, -7, -9}

Answer:

-2(-2)-5= -1      -2(-1)-5=-3   -2(1)-5=-7     -2(2)-5=-9... A. {-1, -3, 7, 9}

Step-by-step explanation:

By substituting each value of the domain of x in the function and solving it we will get the range of the function for respective domain

The given function is :

f(x) = -2x - 5

For x = -2 , f(x) is:

f(-2) = (-2*-2) - 5 = 4 - 5 = -1

For x = -1, f(x) is :

f(-1) = (-2*-1) - 5 = 2 - 5 = -3

For x = 1 , f(x) is

f(1) = (-2*1) - 5 = -2 -5 = -7

For x = 2, f(x) is

f(2) = (-2*2) - 5 = -4 -5 = -9

The range is -1 , -3 , -7 , -9

Hope this helps ..!!

Thank you :)

In systems by substitution what is y=x+8 and x+y=2

Answers

Answer:

x = -3

Step-by-step explanation:

y = x + 8 and x + y = 2

Using substitution, we know that y = x + 8, so:

x + y = 2

x + (x + 8) = 2

2x + 8 = 2

2x = -6

x = -3

Then we solve for y:

x + y = 2

-3 + y = 2

y = 2 + 3

y = 5

- 7r - 3r - 8 = 24.

Answers

Answer:

24

Step-by-step explanation:

urgent solve 5( x- 2 )=35

Answers

5 ( x - 2 ) = 35
5x - 10 = 35
+10 +10
5x = 45
5x/5 = 45/5
x = 9

Step-by-step explanation:

5x-10=35

5x=35+10

5x=45

5x/5=45/5

x=9

Hello Miss!! I hope you are doing well.Ms.Sawsan are my answers correct here or is there something I need to change?

Answers

hi i think you posted this on the wrong platform

Peter scored 27 out of 50 in a test. What percent was that? *
-13.5%
-27%
-50%
-54%

Answers

Answer:

54% for sure please give me brainliest

Answer:

54%

Step-by-step explanation:

27/50 = 54/100 (multiply the full score untill it is at 100, the use the same number it took for that and multiply the points)

What is x?
-4x-2 /3=(-6)

Answers

Answer:

4/3

Step-by-step explanation:

Answer:

x= 4

Step-by-step explanation:

-4x-2 /3=(-6)

-4x-2= 3 (-6)

-4x-2=-18

-4x=-18+2

-4x=-16

x=-16/-4 = 16/4 = 4

Find the length of AB.
00240°
AB = [? ]m
140°
8 m
B
Round your answer to the nearest hundredth.

Answers

Answer:

19.54 m

Step-by-step explanation:

[tex]l(\widehat {AB}) = \frac{ \theta}{360 \degree} \times 2 \pi r \\ \\l(\widehat {AB}) = \frac{140 \degree}{360 \degree} \times 2 \times 3.14 \times 8 \\ \\ l(\widehat {AB}) = \frac{7}{18} \times 2 \times 3.14 \times 8 \\ \\ l(\widehat {AB}) = \frac{351.68}{18} \\ \\ l(\widehat {AB}) = 19.5377778 \\ \\ l(\widehat {AB}) \approx 19.54 \: m[/tex]

I’m studying and I have trouble with this problem and I need an explanation. Please help me! Thank you

Answers

Answer:

Step-by-step explanation:

Im going to assume they want x+108.

You have 2 expressions sitting on a line, so when added to each other they must = 180

So add and set up an equality

x+108+x+78=180

Combine like terms

2x+186=180

Solve

2x+186=180

    -180    -180

2x+6=0

-6       -6

2x=-6

________

2

x=-3

Substitute X for -3

-3+108=

105.  

PLZZZ HELP ME...I AM FAILING THIS CLASS..if you can help me with ANY of these please do...i need all the work of how you got that answer..thankyou so much!!!

Answers

Answer:

Step-by-step explanation:

Hi! I'm lazy but I'll explain number two so you get the concept. 2x + y =10

Well, It says x = 5. When a number is next to another number like this: 5(6), it means multiplication. Same when a number and a letter are together like this: 2x. So that means it's 2 times 5, since 5 = x. 2 times 5 is 10. So what plus 10 equals 10 (10 + y = 10) The answer now is obviously 0.  So that's how you do those equations! Hope u understand lol :>

For which equation is s=9 not the solution? A.s+6=15,B. 7+s=16 C.13-s=4 ,D.s-3=12

Answers

Answer: its D

Step-by-step explanation:

Answer:  D♪ヽ(・ˇ∀ˇ・ゞ)

Step-by-step explanation:

Please help and explain

Answers

Answer:

Possible b that what I thank it is

Step-by-step explanation:

I need help plz I don’t know how to do this

Answers

Answer:

x = 4

Step-by-step explanation:

x = 4 is where the parabola can be cut in half and reflected

what is the proportion of 3 over 7 =n over 28

Answers

n=12. To get 28, you multiply 7 by 4. So you do the same thing to 3 and get 12 :)
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