Hey can i have some help real quick?

Write the given differential equation in the form L(y) = g(x), where L is a linear differential operator with constant coefficie

Greeley [361]

Answer:

The differential equation will be like the one shown below

Step-by-step explanation:

Data:

Let the equation be given as:

y(4) + 8y' = 6

The equation will be expressed linearly as follows:

y(4) + 8 $\frac{dy}{dx} = 6$

$8\frac{dy}{dx}+ 4y = 6$

This is the linear form of the differential equation.

5 0

3 years ago

Read 2 more answers

Combine like terms.<br><br> - 2/3p + 1/5 - 1 + 5/6p

DaniilM [7]

Answer:

1/6 p -4/5

Step-by-step explanation:

- 2/3p + 1/5 - 1 + 5/6p

When I combine like terms, I put them next to each other.

- 2/3p + 5/6p+ 1/5 - 1

We need to get a common denominator of 6 for the p terms

-2/3 *2/2 p + 5/6 p

-4/6p + 5/6 p

1/6 p

We need to get a common denominator of 5 for the contant terms

1/5 - 1*5/5

1/5-5/5

-4/5

Substituting these in

2/3p + 5/6p+ 1/5 - 1

1/6 p -4/5

7 0

3 years ago

List from least to greatest

balandron [24]

2/5 | 52% | 0.57 is the answer

6 0

3 years ago

Mean and standard deviation of sample proportions

asambeis [7]

Answer: D

Suppose that 35\%35%35, percent of students in a school can sing their national anthem correctly. The music teacher takes an SRS of 303030 students from the population of 750750750 students at the school and finds that 40\%40%40, percent of students sampled can sing their national anthem correctly. The teacher plans to take more samples like this.

Step-by-step explanation: Khan Academy Explanation

8 0

3 years ago

During halftime of a basketball game, a sling shot launches T-shirts at the crowd. A T-shirt is launched from a height of 4 f

Sonbull [250]

Answer:

(a) The time the T-shirt takes to maximum height is 2 seconds

(b) The maximum height is 68 ft

(c) The range of the function that models the height of the T-shirt over time given above is $4 + 64\cdot t - 16 \cdot t^{2}$

Step-by-step explanation:

Here, we note that the general equation representing the height of the T-shirt as a function of time is

$h = h_1 + u\cdot t - \frac{1}{2} \cdot g \cdot t^{2}$

Where:

h = Height reached by T-shirt

t = Time of flight

u = Initial velocity = 64 ft/s

g = Acceleration due to gravity (negative because upward against gravity) = 32 ft/s²

h₁ = Initial height of T-shirt = 4 ft

(a) The maximum height can be found from the time to maximum height given as

v = u - gt

Where:

u = Initial velocity = 64 ft/s

v = Final upward velocity at maximum height = 0 m/s

g = 32 ft/s²

Therefore,

0 = 64 - 32·t

32·t = 64 and

t = 64/32 = 2 seconds

(b) Therefore, maximum height is then

$h = 4 + 64\times 2 - \frac{1}{2} \times 32 \times 2^{2}$

∴ h = 68 ft

The T-shirt is then caught 41 ft above the court on its way down

(c) The range of the function that models the height of the T-shirt over time given above is derived as

$h = h_1 + u\cdot t - \frac{1}{2} \cdot g \cdot t^{2}$

With u = 64 ft/s

g = 32 ft/s² and

h₁ = 4 ft

The equation becomes

$h =4 + 64\cdot t - \frac{1}{2} \times 32 \cdot t^{2} = 4 + 64\cdot t - 16 \cdot t^{2}$ .

6 0

3 years ago