3 years ago

The vertical axis of a demand curve shows

Mathematics

2 answers:

Alona [7]3 years ago

4 0

It represents price

Arturiano [62]3 years ago

4 0

vertical axis means y :- price per unit

check graph which is attached

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Marysya12 [62]

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3 0

2 years ago

(b) dy/dx = (x - y+ 1)^2

Elanso [62]

Substitute $v(x)=x-y(x)+1$ , so that

$\dfrac{\mathrm dv}{\mathrm dx}=1-\dfrac{\mathrm dy}{\mathrm dx}$

Then the resulting ODE in $v(x)$ is separable, with

$1-\dfrac{\mathrm dv}{\mathrm dx}=v^2\implies\dfrac{\mathrm dv}{1-v^2}=\mathrm dx$

On the left, we can split into partial fractions:

$\dfrac12\left(\dfrac1{1-v}+\dfrac1{1+v}\right)\mathrm dv=\mathrm dx$

Integrating both sides gives

$\dfrac{\ln|1-v|+\ln|1+v|}2=x+C$

$\dfrac12\ln|1-v^2|=x+C$

$1-v^2=e^{2x+C}$

$v=\pm\sqrt{1-Ce^{2x}}$

Now solve for $y(x)$ :

$x-y+1=\pm\sqrt{1-Ce^{2x}}$

$\boxed{y=x+1\pm\sqrt{1-Ce^{2x}}}$

3 0

3 years ago

5) Solve 9x = 7x + 12

Nikolay [14]

Answer:

X=6

Step-by-step explanation:

Move the variable to get 9x-7x=12

collect like terms to get 2x=12

divide to get 6

6 0

2 years ago

Read 2 more answers

Solve the proportion: 65/x = 13/10

Hoochie [10]

Answer:

x=50

Step-by-step explanation:

65/x =13/10

13x=650

x=650/13

x=50

7 0

2 years ago

Use x for the unknown number.

Lemur [1.5K]

Answer:

2x+48=6x

Step-by-step explanation:

5 0

3 years ago