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
natima [27]
2 years ago
7

Find the particular solution of the differential equation that satisfies the initial condition f'(x) 4x, f(0) = 5 f(x) =

Mathematics
1 answer:
malfutka [58]2 years ago
6 0

Answer: f(x)=2x^2+5

Step-by-step explanation:

First integrate f'(x) so we can find the funtion f(x):

4\int\limits {x} \, dx =4[\frac{1}{2} x^2]=2x^2+C=f(x)

The initial conditions say that when x = 0, the function equals 5. Let's write that down:

f(0)=5=2(0^2)+C=C

Therefore, the integration constant 'C' must equal 5. This means that our function is:

f(x)=2x^2+5

You might be interested in
√16+5-√121 can you please help me please
Andreas93 [3]

Step-by-step explanation:

\sqrt{29 }  -  \sqrt{121}  \\  \sqrt{29} - 11 \\  =  - 5.614835193

4 0
3 years ago
Need help with math homework​
kaheart [24]

1. Area: pi x r^2

Radius: 6.9m

Area: 3.14 x 6.9^2

Area: 149.5m

2. Area: pi x r^2

Radius: 150ft

Area: 3.14 x 150^2

Area: 70,650ft

3. Area: pi x r^2

Radius: 8in

Area: 3.14 x 8^2

Area: 200.96in

Area: pi x r^2

Radius: 2in

Area: 3.14 x 2^2

Area: 12.56in

200.96/12.56 = 16

Therefore, it will take 16 4 inch diameter cookies to equal the area of one giant cookie.

8 0
3 years ago
Sam is starting a daily log to record the number of hours he spends practicing his guitar. He begins with his log with 70 minute
myrzilka [38]
P(x) = 70 + 15x
where x = # of days
4 0
3 years ago
Please help asap! leaf plot
Alexxx [7]
The correct answer is D.

5 0
3 years ago
Read 2 more answers
Please help e and my sister want to go somewhere but we cant because of this​
gtnhenbr [62]

Answer:

1 5/12 lb

Step-by-step explanation:

This is a subtraction problem.

He started with 4 2/3 lb and used 3 1/4 lb, so you need to subtract 3 1/4 lb from 4 2/3 lb.

Notice that the fractions do not have the same denominator, so we need a common denominator and equivalent fractions.

We start with the

subtraction below

       4 2/3

  -    3 1/4

---------------

The least common denominator of 3 and 4 is 12. 12/3 = 4, and 12/4 = 3, so we get equivalent fractions with the common denominator 12.

We use the LCD to get

the subtraction below

       4 8/12

  -    3 3/12

----------------

Now we subtract the whole numbers and the fractions.

       4 8/12

  -    3 3/12

----------------

       1 5/12

Answer: 1 5/12 lb

8 0
3 years ago
Other questions:
  • In a package of 40 skittles, 35% were red. How many were not red?
    11·2 answers
  • Three less than triple a<br> number is the same as the<br> number plus 57. What is<br> the number?
    15·1 answer
  • Beth poured the same amount of juice into 1010 glasses. She used 22 quarts of juice. How much juice is in each glass?
    13·1 answer
  • WILL MARK BRAINIEST! 25 POINTS! What is 2^4/3 equal to? ∛8 ²√8 ∛16 ²√16 Please show work, i need to understand this
    12·2 answers
  • Find all the solutions of sin x + cos x = 1 in the interval [0, 2pie).
    15·1 answer
  • Find the area of the sector of the circle with radius 2 meters and central angle 11pi over 6
    6·1 answer
  • Graph a line with a slope of 4 that contains the point (3,0). FOR 100 POINTS PLS
    10·1 answer
  • At a high school the average grade for the first semester for all subjects was 79.3. Based on this mean , the principal conclude
    11·1 answer
  • What triangle is this. Super easy.
    9·1 answer
  • Here is an equation for a circle: (x-3)^2 + (y+10)^2 = 81.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!