Find the function satisfying the differential equation f′(t)−f(t)=3t f′(t)−f(t)=3t and the condition f(1)=−1f(1)=−1.

Mathematics

1 answer:

Colt1911 [192]3 years ago

7 0

Try this solution (see the attachment).

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The volume of a rectangular prism is 72 cubic centimeters. The prism is 2 centimeters wide and 4 centimeters high. What is the l

skelet666 [1.2K]

Answer:

The length of prism is 9 centimetres.

Step-by-step explanation:

Given:

The volume of a rectangular prism is 72 cubic centimeters.

The prism is 2 centimeters wide and 4 centimeters high.

Now, to find the length of prism:

Let the length be $l$ .

Width = 2 centimeters.

Height = 4 centimeters.

Volume = 72 cubic centimeters.

So, putting the formula to get the length of prism:

$Volume = length\times width\times height$

$72=l\times 2\times 4$

$72=l\times 8$

Dividing both sides by 8 we get:

$9=l$

Length = 9 centimetres.

Therefore, the length of prism is 9 centimetres.

6 0

3 years ago

I really really need help with this please.

11111nata11111 [884]

The number of ancestors going back through the 5th generation, including Tle-nle and counting Tle-nle as the 1st generation is:

= 1 + 3 + 3^2 + 3^3 + 3^4
= (3^5 - 1) / (3 - 1)
= 242 / 2
= 121

Since we included Tle-nle as the 1st generation, we will only compute up to the 4th power. If it is until the 6th generation, add 3^5 to the equation.

8 0

3 years ago

the side length of the state flag of Colorado are in the ratio of 2:3 if the flag is 12 ft long what is the height?

yanalaym [24]

Answer:

The height is 8

Step-by-step explanation:

Ratios are just fractions. That being said, you also have part of a fraction. You know that the colorado flag is in 2:3, and 12 feet long is according to that ratio; it equals each other.

Make the equation.

$\frac{2}{3} = \frac{x}{12}$