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sashaice [31]
4 years ago
14

What are the solutions to the following system?

Mathematics
1 answer:
kakasveta [241]4 years ago
4 0

Answer:

50

Step-by-step explanation:

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Find the particular solution that satifies the differential equation and the initial condition. f"(x) = x2 f'(0) = 8, f(0) = 4
viva [34]

Answer:

f(x) = x^4/12 + 8x + 4

Step-by-step explanation:

f"(x) = x^2

Integrate both sides with respect to x

f'(x) = ∫ x^2 dx

= (x^2+1)/2+1

= (x^3)/3 + C

f(0) = 8

Put X = 0

f'(0) = 0+ C

8 = 0 + C

C= 8

f'(x) = x^3/3 + 8

Integrate f(x) again with respect to x

f(x) = ∫ (x^3 / 3 ) +8 dx

= ∫ x^3 / 3 dx + ∫8dx

= x^(3+1) / 3(3+1) + 8x + D

= x^4/12 + 8x + D

f(0) = 4

Put X = 0

f(0) = 0 + 0 + D

4 = D

Therefore

f(x) = x^4 /12 + 8x + 4

5 0
4 years ago
Carmen paid $17.64 for a 7.94-ky bag of dog food. A few weekel later, she paid $18.88 for an 8,39 ky bag at a different store,
shepuryov [24]
Not sure gffhjjhsbhjjkk
5 0
3 years ago
The coordinates of the vertices for rectangle ABCD are A (2,4), B (6,10), C (9,8) and D (5,2). What
sweet [91]

Answer:

D. \sqrt{65}

Step-by-step explanation:

The computation of the  length of a diagonal (AC or BD) of the rectangle is shown below:

As we know that

The Diagonal length of AC is

= (x_2 - x_1)^2 + (y_2 - y_1)^2\\\\= (9 -2)^2 + (8 - 4)^2\\\\= (7)^2 + (4)^2

= \sqrt{49 + 16}\\\\= \sqrt{65}

Therefore correct option is D.

3 0
3 years ago
Choose the model that shows the correct answer to this problem:<br> 6/8<br> 9/12<br> 3/4<br> 3/12
Veronika [31]

Answer:

1/3 x 3/4

Step-by-step explanation:

in this case, 3/4 is correct because it is 3 of 4 shaded.

hope this helps!

3 0
2 years ago
Read 2 more answers
To some Marines one cruising at 25 kn in the other 20 kn left the naval base at the same moment. Three hours later they were 100
Rus_ich [418]
I believe you would have to multiply both 25 and 20 and what ever number you get dived by 100 if the numbers to high multiply aging or subtract the number (if it's wrong I'm really not good at my math I'm sorry)
3 0
3 years ago
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