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3 years ago

What is the initial value of the function represented by this table?

Mathematics

1 answer:

lisov135 [29]3 years ago

8 0

9514 1404 393

Answer:

2. 4

Step-by-step explanation:

The "initial value" is the y-value corresponding to x=0. That is given in the first line of the table.

The initial value is 4.

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Initial value problems dy/dx+2y=3. Y(0)=1

Pavel [41]

The initial value equation is $y = \frac 12(3 - e^{-2x})$

<h3>How to solve the initial value?</h3>

The equation is given as:

$\frac{dy}{dx} +2y = 3$

Where

Y(0) = 1

Subtract 2y from both sides in the equation

$\frac{dy}{dx} = -2y + 3$

Rewrite as:

$\frac{dy}{-2y + 3} = dx$

Integrate both sides of the equation

$-\frac 12\ln|-2y + 3| = x + C_o$

Multiply through by -2

$\ln|-2y + 3| = -2x + C_1$

Take the exponent of both sides

$-2y + 3 = Ce^{-2x$

Next, we solve for C under the initial condition Y(0) = 1.

This gives

$-2(1) + 3 = Ce^{-2 * 0$

Evaluate

-2 + 3 = C

Solve for C

C = 1

Substitute C = 1 in $-2y + 3 = Ce^{-2x$

$-2y + 3 = e^{-2x$

Next, we solve for y

$y = \frac 12(3 - e^{-2x})$

Hence, the initial value equation is $y = \frac 12(3 - e^{-2x})$

Read more about initial value at:

brainly.com/question/16945606

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3 0

1 year ago

There is 100 people in each train car so how many people are they in each train there is ten cars in each train and thirty train

snow_tiger [21]

Information given:

- 100 passengers in each train car

- 10 train cars total

- 30 trains total

So we are trying to find the total number of passengers on all 30 trains?

Step-by-step:

100 x 10 = 1,000 passengers per train

1,000 x 30 = 30,000 passengers total within the 30 trains

Answer: 30,000 passengers

Hopefully this answered your question :)

6 0

3 years ago

Question 4(Multiple Choice Worth 4 points)

artcher [175]

Answer:

$\sqrt{1}$

Step-by-step explanation:

We know that a rational number cannot have roots. All of the answer choices cannot be simplified except for $\sqrt{1}$ , which can become 1. Therefore, our answer is $\sqrt{1}$ .

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2 years ago

Halp Exam Converting a decimal to a proper fraction in simplest form: Advanced

jeyben [28]

Answer:

0.37 as a fraction is 37/100

Step-by-step explanation:

Because

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2 years ago

A space shuttle is made

zaharov [31]

Answer:

The actual space shuttle is 66 feet tall

Step-by-step explanation:

scale of 1 inch : 12 feet represent the scale of a space shuttle.

It means it has a representation of 1 inch on paper then actual = 12 feet.

But then if the paper(model) changes to 5.5 inches. The actual representation on land will be

Let me write out the equation

1 inch = 12 feet

5.5 inch =( 5.5 inch *12 feet)/1 inch

5.5 Inch= 5.5 * 12 feet

5.5 inch = 66 feet

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3 years ago