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3 years ago

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

1 answer:

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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I could really use the help! see Image below. :)<br><br> thanks again.

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

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