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
Find the slope of the line from two points (9, 6) (13,11) Use the equation of the line
mafiozo [28]

Answer:

C

Step-by-step explanation:

4 0
3 years ago
Which system of equations below will have infinite solutions?
ipn [44]

Answer:

All

Step-by-step explanation:

Because there are no equations for them so for all we know they all could have infinite solutions.

5 0
2 years ago
A dog weighs two pounds less than three times the weight of a cat. The dog also weights twenty-two more pounds than the cat. Wri
8090 [49]

Answer:

Weight of dog: 34 pounds,

Weight of cat: 12 pounds.

Step-by-step explanation:

Let d represent weight of dog and c represent weight of cat.

We have been given that a dog weighs two pounds less than three times the weight of a cat.

3 times weight of cat: 3c

We can represent the given information in an equation as:

d=3c-2...(1)

We are also told that the dog also weights twenty-two more pounds than the cat. We can represent the given information in an equation as:

d=c+22...(2)

Equate both equations:

3c-2=c+22

3c-c-2=c-c+22

2c-2=22

2c-2+2=22+2

2c=24

\frac{2c}{2}=\frac{24}{2}

c=12

Therefore, the weight of cat is 12 pounds.

Substitute c=12 in equation (2)

d=c+22

d=12+22

d=34

Therefore, the weight of dog is 34 pounds.

4 0
3 years ago
Find (Supplementary angles) and the (Vertical angles). PLEASE​
solmaris [256]
Supplementary would be like 6&7 or 2&3 and vertical would be like 6&8 or 7&5
4 0
3 years ago
4x + 3 = x + 2(x + 7)<br> step by step
Ksivusya [100]

Answer:

x=11

Step-by-step explanation:

4x + 3 = x+ 2x + 14

4x + 3 = 3 x + 14

4x - 3x = 14 -3

x= 14 - 3

x= 11

8 0
3 years ago
Read 2 more answers
Other questions:
  • What are the two shapes of cross-sections we could create by slicing the cone diagonal to its base?
    15·1 answer
  • Convert each fraction to a decimal.. 2/5
    8·1 answer
  • PLEASE PLEASE HELP ASAP
    14·1 answer
  • Carla runs 4 miles every day. She jogs from home to the school track, which is 3/4 mile away. She then runs laps around the 1/4
    5·1 answer
  • #1. Find the circumference of the following circle: *
    14·1 answer
  • A shipping carton in the shape of a rectangular prism has a volume of 756 cubic inches the base area of the shipping carton is 4
    15·2 answers
  • What is 75/2\3 for my math homework
    6·2 answers
  • 16 is the geometric mean of 8 and what other number?
    11·1 answer
  • Write an exponential function in the form y=ab^x that goes through the point (0,17) and (6,1088)
    8·1 answer
  • Tell weather the dilation is a reduction or an enlargement. Then find the scale factor
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!