1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Eddi Din [679]
3 years ago
7

The figure shows graphs of f, f ', f '', and f '''. Identify each curve.

Mathematics
2 answers:
Rzqust [24]3 years ago
8 0
I think the correct answers are:

f ----> d
<span>f' ----> c
</span><span>f'' ---> b 
</span><span>f''' ---> a

f' signifies the slope of the function f. so f" is the slope of the slope and so on.</span>
boyakko [2]3 years ago
4 0

Answer:

f --> d

f' --> c

f'' --> b

f''' --> a

Step-by-step explanation:

The derivative of a function f(x) is another function f'(x) which values are the slope of the line tangent to the curve f(x) at the point x.

So the derivative at some point will be:

  • Positive if the line tangent at the curve at that point has a positive angle with the horizontal axis (this means that curve is increasing from left to right).
  • Negative if the line tangent at the curve at that point has a negative angle with the horizontal axis (this means that the curve is decreasing from left to right).
  • Zero if the line tangent at the curve at that point is parallel to the horizontal axis (this means that the curve is remaining constant, has an inflection point or has reached a local maximum or minimum point).

The d curve has a steady decreasing rate when x is close zero and has one local maximum and one local minimum where the slope of the tangent line should be zero. The c curve shows this behaviour so we can say that c is the derivative of d.

The c curve reach a minimum point when x=0 so the derivative should be zero at that point, with a decrasing rate for x (negative derivative) and an increasing rate for x>0 (positive derivative). The b curve shows this behaviour so we can say that b is the derivative of c.

The b curve is constantly increasing, so its derivative is going to be always positive and has an inflection point in x=0 where the slope of the tangent line should be zero, then a is the derivative of b

Recapitulating:

  • c is the derivative of d
  • b is the derivative of c
  • a is the derivative of b

Then:

f --> d

f' --> c

f'' --> b

f''' --> a

You might be interested in
Julle goes to several grocery stores and researches the price of a 12 oz bottle of juice.
lisabon 2012 [21]

Answer:

i thr 10 dollers would be ear by 1 thousand

4 0
3 years ago
Ali's dog weighs 8 times as much as her cat. Together, the two pets weigh 54 pounds. How much does Ali's dog weigh?
Ilya [14]
I did 54/8 because you are multiplying D×8 and the product of 54/8= 6.75 so yeah the answer is 6.75
4 0
3 years ago
What is 20% of 96,000 in math?
AVprozaik [17]
19200

just multiply 0.2 x 96,000
4 0
3 years ago
Read 2 more answers
Solve the following equations.<br> √3 ⋅ 3^3x = 9
GREYUIT [131]

Answer:

The solution is x = 0.5

Step-by-step explanation:

We need to write everything as a power of 3.

We know that:

\sqrt{a} = a^{0.5}

So

\sqrt{3} = 3^{0.5}

And

9 = 3^{2}

This following property is also important:

\frac{a^{b}}{a^{c}} = a^{b-c}

To solve, the first step is putting everything with the variable x on one side and everything without the variable x on the other side

\sqrt{3}.3^{3x} = 9

3^{0.5}.3^{3x} = 3^{2}

3^{3x} = \frac{3^{2}}{3^{0.5}}

3^{3x} = 3^{2-0.5}

3^{3x} = 3^{1.5}

This means that:

3x = 1.5

x = \frac{1.5}{3}

x = 0.5

5 0
3 years ago
Factories 25x-35 what would the answer be
Stells [14]

Answer:

Step-by-step explanation:

25x - 35 = 5*5*x - 5*7

              = 5*( 5x - 7)

3 0
3 years ago
Read 2 more answers
Other questions:
  • What are the slope and the Y intercept of the linear fractionThat is represented by the equation y= - 10x + 1
    6·2 answers
  • You deposit $7,500 into an account. After 10 years, the account is worth $44,187.02. If the interest compounds quarterly, calcul
    6·1 answer
  • An engineer is designing a storage compartment in a spacecraft .The compartment must be 2 meters longer than it is wide, and its
    14·1 answer
  • I WILL GIVE BRAINLIEST TO WHOEVER ANSWERS ALL 5 QUESTIONS AND I WILL ALSO GIVE 11 POINTS. PLEASE HELP ME I NEED IT SO MUCH.
    15·1 answer
  • If you run 2 miles in 15 minutes how long will it take to go 40 miles
    14·1 answer
  • Can someone please help me solve this :)
    10·1 answer
  • Blank plus 1/5 equals to 1/2
    15·1 answer
  • What is the mean, outlier &amp; mean without outlier for 4; 4; 5; 6; 8; 9; 27
    14·1 answer
  • What is 648.52 in expanded form
    8·2 answers
  • Which functions represent the arithmetic sequence 8, 1.5, –5, –11.5 . . . ? check all that apply. f(n) = –6.5n 14.5 f(n) = –1.5n
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!