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3 years ago

How do you calculate the explicit solution to dP/dt=kP-h?

1 answer:

3 0

Since the k and h are constants therefore this differential equation is a variable separable D.E. In order to solve this D.E. we need to group together terms with the same variable, that is,

dP/(kP-h) =dt

perform integral on both sides of the equation, we obtain

(1/k)* ln (kP - h) = t + C

Since we are not given limits to the equation, it is best to put C or the constant term in any side of the equation.

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Solve.

Serggg [28]

Answer:

The solution is (4, 0)

Step-by-step explanation:

Using Linear combination method to solve:

$2d + e = 8\\d - e = 4\\$

Since "e" have the same coefficient in both equation with opposite operator; we will add.

$(2d + d) + (e - e) = (8 + 4)\\3d = 12\\$

Divide both side by coefficient of d which is 3

$\frac{3d}{3} = \frac{12}{3} \\d = 4\\$

Since d = 4; put 'd' into any of the equation to get 'e'

$2d + e = 8\\2(4) + e = 8\\8 + e = 8\\e = 8 - 8\\e = 0\\$

Therefore, the solution is (4, 0)

5 0

4 years ago

Does the point (0, 0) satisfy the equation y = 9x?

miskamm [114]

Answer:

yes it does

Step-by-step explanation:

because the equation y=9x does not have a y-intercept (all slopes come in the form y=mx+b -- it can be written differently though) and since there is no 'b' that means the y-intercept is 0. So whenever there is no y-intercept, the slope starts at 0.

6 0

3 years ago

On the coordinate plane below, Point P is located at (2,-3), and point Q is located at (-4,4).

Semenov [28]

Answer:

Approximately 9 units.

Step-by-step explanation:

To find the distance between two ordered pairs, we can use the distance formula. The distance formula is:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2$

Let (2,-3) be x₁ and y₁ respectively, and let (-4,4) be x₂ and y₂, respectively.

$d=\sqrt{(-4-2)^2+(4--3)^2} \\d=\sqrt{(-6)^2+(7)^2} \\d=\sqrt{36+49} \\d=\sqrt{85}\approx9$

7 0

4 years ago

mariah has been hired as a receptionist.She is paid a flat rate of $225 each week and ears an additional $11.25 for every hour t

blsea [12.9K]

675 = 225 + 11.25h <== ur equation

5 0

4 years ago

Blake is signing a lease for a studio apartment that rents for $425/month. How much will Blake pay to move in if he must pay the

jeka57 [31]

Answer:

Step-by-step explanation:

The total of the rental and security deposits amounts to two and a half months' rent:

2.5 × $425 = 1062.50

It will cost Blake $1062.50 to move in.

8 0

2 years ago