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
blagie [28]
4 years ago
6

Find f. f ''(x) = −2 + 24x − 12x2, f(0) = 7, f '(0) = 16

Mathematics
1 answer:
miskamm [114]4 years ago
3 0
Integrate twice.

Remember the anti-derivative rule for polynomials:
\int x^n dx = \frac{x^{n+1}}{n+1} + C

f'(x) = \int (-2 +24x -12x^2) dx = -2x + 12x^2 -4x^3 + C \\  \\ f'(0) = 16, C = 16 \\  \\ f(x) = \int (16 -2x+12x^2-4x^3) dx = 16x -x^2 + 4x^3 - x^4 + C \\  \\ f(0) = 7, C = 7

Answer:
f(x) = 7 + 16x -x^2 + 4x^3 - x^4
You might be interested in
Explain what is wrong with each of the following randomization procedures, and describe how you would do the randomization corre
zlopas [31]

Answer:

Kindly check explanation

Step-by-step explanation:

A.)

The problem with the here is that we might have introduced bias into our sample by failing to randomize the assignment of gender. By pacing the male gender in the treatment group and females into the control group, this might spring up a spurious association in our experiment as a result of a possible confounding variable, gender. Therefore, assignment of subject shouldn't be on the basis of gender.

2.)

Using a coin toss in placing subjects into groups will give a good random assignment, however, since only ten subjects are available and of which 5 will be placed into each group, there is no certainty that there will be equal number of heads and tails during the 10 flips. Alternatively, a random selection of the name of the 10 subjects could be chosen from a raffle.

3.)

Each batch of rat might be homogenous and hence will affect our experiment and definitely our conclusion. It would be best to assign rats from each batch to all treatment groups in other to obtain a good random design

8 0
3 years ago
A un tanque que contiene 150 litros de gas propano se le inyecta del mismo gas a razón de 3 litros por segundo. Determina la fun
ElenaW [278]
If only it was in english i could of read it and gave you the answer

7 0
4 years ago
Which must be true?<br> OAN LB<br> O NCBZ<br> O ZBMZ = 2CMZ<br> O ZZBM = ZZCM
andrew11 [14]

Answer:

your answer to your question is an lb

3 0
3 years ago
I need help! Please! 30 points!
Arada [10]

<em>I'm sorry and I feel that your probably going to get mad, but we can't answer this question without knowing what those drag-and-drop options are! I hope that you can quickly re-post this, and then I will be able to help you! Sorry!</em>

<em />

<em>Miri</em>

<em />

3 0
3 years ago
Read 2 more answers
Marlena places a square rug on her living room floor, which is also a square. What area of her floor is NOT covered by the rug?
Kay [80]

Answer:

B. 12 square ft C. 63 square ft

Step-by-step explanation:

Marlena places a square rug on her living room floor, which is also a square.

Now if a square rug is placed in her room, the area of the floor will definitely be the area if the square rug..

And area of a square it = length ²

The result will give s a perfect square for an integer number.

A. 9 square ft = perfect square

B. 12 square ft = not perfect square

C. 63 square ft =not perfect square

D. 81 square ft= perfect square

So the ones that are not perfect squares Is the answer to the question

8 0
3 years ago
Other questions:
  • Someone one PLEASE HELP I've been stuck for like 2 hours
    9·2 answers
  • Please help with this
    10·1 answer
  • The following proportions were written on the board by Ms. Warren.​
    13·1 answer
  • Which of the following is true of irrational numbers? *
    14·1 answer
  • Given vertices A(0,0), B(5,0),C(0,5), determine whether triangle ABC is a right triangle. a. yes c. insufficient information b.
    11·1 answer
  • Given the equation of a circle below, find the diameter of the circle. Use only the digits 0-9 to enter the diameter.
    11·1 answer
  • 2/20 : 1/40 as a unit rate
    10·1 answer
  • Write the following linear function in slope intercept form.
    9·1 answer
  • ANSWERS AT THE BOTTOM!!<br> PLEASE HELP 10 POINTs!!
    12·1 answer
  • I’m confused, I don’t know how to get the value
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!