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2 years ago

If you have a rectangular bathtub, what would represent the volume?

Mathematics

2 answers:

zlopas [31]2 years ago

7 0

The amount of water that fills up the tub !

astraxan [27]2 years ago

7 0

B)the amount of water that fills the tub

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Find the particular solution of the differential equation that satisfies the initial condition(s). f ''(x) = x−3/2, f '(4) = 1,

sweet [91]

Answer:

Hence, the particular solution of the differential equation is $y = \frac{1}{6} \cdot x^{3} - \frac{3}{4}\cdot x^{2} - x$ .

Step-by-step explanation:

This differential equation has separable variable and can be solved by integration. First derivative is now obtained:

$f'' = x - \frac{3}{2}$

$f' = \int {\left(x-\frac{3}{2}\right) } \, dx$

$f' = \int {x} \, dx -\frac{3}{2}\int \, dx$

$f' = \frac{1}{2}\cdot x^{2} - \frac{3}{2}\cdot x + C$ , where C is the integration constant.

The integration constant can be found by using the initial condition for the first derivative ( $f'(4) = 1$ ):

$1 = \frac{1}{2}\cdot 4^{2} - \frac{3}{2}\cdot (4) + C$

$C = 1 - \frac{1}{2}\cdot 4^{2} + \frac{3}{2}\cdot (4)$

$C = -1$

The first derivative is $y' = \frac{1}{2}\cdot x^{2}- \frac{3}{2}\cdot x - 1$ , and the particular solution is found by integrating one more time and using the initial condition ( $f(0) = 0$ ):

$y = \int {\left(\frac{1}{2}\cdot x^{2}-\frac{3}{2}\cdot x -1 \right)} \, dx$

$y = \frac{1}{2}\int {x^{2}} \, dx - \frac{3}{2}\int {x} \, dx - \int \, dx$

$y = \frac{1}{6} \cdot x^{3} - \frac{3}{4}\cdot x^{2} - x + C$

$C = 0 - \frac{1}{6}\cdot 0^{3} + \frac{3}{4}\cdot 0^{2} + 0$

$C = 0$

Hence, the particular solution of the differential equation is $y = \frac{1}{6} \cdot x^{3} - \frac{3}{4}\cdot x^{2} - x$ .

5 0

3 years ago

The distance between City A and City B is 250 miles. A length of 2.3 feet represents this distance on a certain wall map. City C

masya89 [10]

The distance between city C and city D is 450 miles.

<u>Solution:</u>

Given, The distance between City A and City B is 250 miles.

A length of 2.3 feet represents this distance on a certain wall map.

City C and City D are 4.14 feet apart on this map.

We have to find what is the actual distance between City C and City D?

Now, distance between a and b is 250 miles ⇒ 2.3 feet on map

Then, distance between c and d be n miles ⇒ 4.14 feet on map.

Now, by chris cross method.

250 x 4.14 = 2.3 x n miles.

2.3n = 1035

n = 450

Hence, the distance between city C and city D is 450 miles.

8 0

3 years ago

Theo and Kade worked on a school project together. Theo worked on the project 3 fewer hours than Kade did. Altogether, they work

kow [346]

Answer:Theo worked for 10.5 hours.

Kade worked for 16.5 hours

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Help me please!!!!!!!!!!!

Softa [21]

Ratio and portion

taggednow to tagged later comparison

assuming the tagged onws aer in ratio

25-16=9
9/25=0.36=36%

I would assume that the eagle population dropped 36%

4 0

3 years ago

tim has been offered three jobs. job a paid on an annual basis with a salary of 26,700. job b pays $500 per week. job c pays &am

scZoUnD [109]

Answer:

Job C

Step-by-step explanation:

Since he's paid semi monthly,literally half a month, which is 1125$

Then full month will be 1125×2

Which is 2250

Then annually would be 2250×12=27,000

5 0

3 years ago