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julsineya [31]
3 years ago
9

Write down the general zeroth order linear ordinary differential equation. Write down the general solution.

Mathematics
1 answer:
nikitadnepr [17]3 years ago
7 0

The zeroth derivative of a function y(x) is simply the function itself, so the zeroth order linear ODE takes the general form

y(x)=f(x)

whose solution is f(x).

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bekas [8.4K]

Answer:

  • Sadie didn't split the a^7 term into the largest even exponent and the remaining factor. She stopped at a^2.
  • 3a³b√(6ab)

Step-by-step explanation:

\sqrt{54a^7b&3}=\sqrt{3^2\cdot 6\cdot a^6\cdot a\cdot b^2\cdot b}=3a^3b\sqrt{6ab}

4 0
3 years ago
Lucy makes green paint by mixing yellow and blue paint in the ratio 5:2. Blue paint costs
ahrayia [7]

Answer:

No, she won’t make a profit

Step-by-step explanation:

Here, we are interested in determining if Lucy made a profit or a loss.

The cost of blue paint is 30 pounds for 5 liters. This means that a liter of blue paint is 30/5 = 6 pounds per liter

The cost of yellow paint is 28 pounds per 7 liters, the cost per liter is 28/7 = 4 pounds per liter

Now, in her mixing, she mixes 5 parts of yellow paint and 2 parts of blue paint.

This means that she mixed them the ratio as follows per liter;

For yellow, we have; 5/(5+2) = 5/7

For blue we have 2/(5+2) = 2/7

Now since a liter of yellow paint cost 4 pounds

5/7 of a liter will cost 5/7 * 4 = 20/7 pounds

For the blue paint, a liter cost 6 pounds, 2/7 of a liter will cost 2/7 * 6 = 12/7

The total cost in pounds in this;

20/7 + 12/7 = 32/7 = £4.57 pounds to 2 decimal place

Now she sells her green paint product at £4.5 per liter. Since this is less than the cost price of production which is £4.57, she is running at a loss

8 0
3 years ago
If f(x) = x2, and<br> g(x) = x – 1, then<br> f(g(x)) = [? ]x2+[?]+ [?]
Basile [38]

Answer:

f(g(x)) = x² - 2x + 1

Step-by-step explanation:

To find f(g(x)), substitute x = g(x) into f(x) , that is

f(g(x))

= f(x - 1)

= (x - 1)² ← expand using FOIL

= x² - 2x + 1

5 0
3 years ago
Han's house is 450 meters from school. Lin’s house is 135 meters closer to school. How far is Lin’s house from school?
just olya [345]
The answe is the answer is 8
8 0
3 years ago
Solve the system of linear equations below.
Olegator [25]

Answer:

B. x = 2, y = 6

Step-by-step explanation:

2x + 5y = 34...(1) \\  \\ x + 2y = 14 \\  \therefore \: x = 14 - 2y...(2) \\  \\ from \: equations \: (1) \: and \: (2) \\  \\ 2(14 - 2y) + 5y = 34 \\ \therefore \: 28 - 4y + 5y = 34 \\  \therefore \: 28 + y = 34 \\ \therefore \:  y = 34 - 28 \\  \huge \red{ \boxed{\therefore \:  y = 6}} \\ substituting \: y = 6 \: in \: equation \: (2) \\ x = 14 - 2 \times 6 \\ \therefore \:  x =14 - 12 \\  \huge \purple{ \boxed{\therefore \:  x =2}} \\  \\ \huge \orange{ \boxed{ \therefore \:  x  = 2, \:  \: y = 6}} \\

5 0
3 years ago
Read 2 more answers
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