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2 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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Please help i have no clue

kozerog [31]

Answer:

Step-by-step explanation:

Question (1)

x² + 10x + 12

= x² + 2(5x) + 5² - 5² + 12

= [x² + 2(5x) + 5²] - 5² + 12

= (x + 5)² - 25 + 12 [Since, a² + 2ab + b² = (a + b)²]

= (x + 5)² - 13

Question (2)

y² - 6y - 15

= y² - 2(3y) - 15

= y² - 2(3y) + 3² - 3² - 15

= [y² - 2(3y) + 3²] - 3² - 15 [Since, a² - 2ab + b² = (a - b)²]

= (y - 3)² - 3²- 15

= (y - 3)² - 9 - 15

= (y - 3)² - 24

6 0

2 years ago

Explain how to draw a line segments that measures 2 7/16 inches

viktelen [127]

9514 1404 393

Answer:

draw the line using a ruler on which you have identified points 2 7/16 inches apart

Step-by-step explanation:

On your ruler graduated in inches with marks at 1/16-inch intervals, locate the 0 mark and the mark 1/16 inch before the half-inch mark between 2 and 3 inches.

Draw your line along the edge of the ruler between the two marks you have identified: 0 and 2 7/16. The line will be 2 7/16 inches long.

6 0

2 years ago

If you rolled two dice, what is the probability

Tatiana [17]

Answer:

1/36

Step-by-step explanation:

There's only one situation where you can roll a sum of 2 (1,1)

so the final answer is just 1/36

4 0

2 years ago

Arianna kicks a soccer ball off the ground and into the air with an initial velocity of 42 feet per second. Assume the starting

Blababa [14]

H(t) = -16t^2 +42t = -16t(t -2.625)
The maximum height will be reached at t=1.3125. It will be
h(1.3125) = 16*1.3125^2 ≈ 27.6 Which corresponding to the 4th selection

8 0

2 years ago

Read 2 more answers

What amount of money will accumulate to $192,400 in 6 years and 11 months at the interest rate of 5.36% compounded semi-annually

MaRussiya [10]

We will have the following:

$\begin{gathered} 192400=A(1+\frac{0.0536}{2})^{(11/12)(2)}\Rightarrow A=\frac{192400}{(1+0.0536/2)^{(11/12)(2)}} \\ \\ \Rightarrow A=183293.7505...\Rightarrow A\approx18329375 \end{gathered}$

So, the original quantity was approximately $183 293.75.

3 0

6 months ago