MATHEMATICS HIGH SCHOOL

Find the volume of the solid generated by revolving the regionbounded by y=2(square root of sinx), y=0, and x(sub1)=pi/3,
x(sub2)=5pi/6 about the x axis. Round to the nearest
hundreth.

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

To find the volume of the solid generated by revolving the given region about the x-axis, we can use the method of cylindrical shells.

The region is bounded by the curves y=2sin⁡xy=2sinx

​, y=0y=0, x=π3x=3π​, and x=5π6x=65π​.

The volume of the solid can be calculated using the formula:

V=2π∫abx⋅f(x) dxV=2π∫ab​x⋅f(x)dx

Where aa and bb are the bounds of integration (in this case, π33π​ and 5π665π​), and f(x)f(x) is the height of the shell, which is given by f(x)=2sin⁡xf(x)=2sinx

​.

So, the volume can be calculated as:

V=2π∫π35π6x⋅2sin⁡x dxV=2π∫3π​65π​​x⋅2sinx

​dx

Before proceeding, let's simplify the integral by rearranging it:

V=4π∫π35π6xsin⁡x dxV=4π∫3π​65π​​xsinx

​dx

Now, use calculus techniques to evaluate this integral. Unfortunately, this integral does not have a simple closed-form solution. You'll likely need to use numerical integration methods or appropriate software to compute the value of the integral.

Once you've computed the integral, you'll have the volume of the solid generated by revolving the given region about the x-axis. Be sure to round the result to the nearest hundredth as requested.

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How do I show the work for 5.4 divided by 39.42?

Answers

You have to move the decimal point right the same number of places for each one and divide normally so it would be 540/3942 and it is 0.13698630136986 which is irrational so you have to round to the nearest tenth, hundredth, or thousandth, depending on what the directions say.

what you can do is to write what you type on your calculator. So type in 39.42/5.4=7.3

0.09502 to 2 decimal places

Answers

look at the first number after the decimal point that isn't a zero.

0.09502 would be 0.01


0.09502 to 2 decimal places

anything that is 5 or more rounds to the next number

0.1 will be our answer

How tall is the table?

Answers

The table is 150 cm tall
The answer is 150, hope this helps

A -In 2000 , The United States government owed about $5.63 trillion to its creditors . The population of the United States was 282.4 million people . How much did the government owe per person in 2000 / Round to the nearest dollarB) In 2005 , the bebt had growth to $7.91 trillion , with a population of 296.9 million
How much did the government owe per person ? Round to the nearest dollar.

c- What was the percent increase in the average amount owed per person from 2000 to 2005 ?

Thank you my friend ! please make sure you answer with all the step and information .

Answers

A

5.63 trillion=5.63 million, million

how much per person is
282.4 million
(5.63million, million)/(282.4 million)=(5.63 million)/(282.4)= (5,630,000)/(282.4)=19936.2
round
$19,936 per person


B same thing

7.91 trillion=7.91 million, million

how much per person is
296.9 million
(7.91million, million)/(296.9 million)=(7.91 million)/(296.9)= (7,910,000)/(296.9)=26641.9
round to nearest dollar
$26642




C. increase from
19,936 to 26,642
find difference
26,642-19,936=6706
percent increase=increase/original=6706/19936=0.336/1
percent means parts out of 100
.336/1 times 100/100=33.6/100=33.6%
aprox 34%



A. $19,936
B. $26,642
C. 33.6%

Which measurement is the best estimate for the length of a bean?A : 13 mm

B : 13 cm

C : 13 m

D : 13 km

Answers

The best estimate for the length of a bean would be B: 13 cm

Answer:

13mm

Step-by-step explanation:

Lynn street, Allen street, and route 11 form the boundaries of a triangular forest, as shown in the map below.

Answers

There are 2 triangles there. So the formula for a triangle is BxH/2. So base of 36km x 15km = 540/2= 270km squared.
Then the second triangle 20km x 15 km=300/2=150km squared.
Next add the two triangles together so
270km squared + 150km squared= 420km squared.
420km squared is your answer
Do you remember how to find the area of a triangle ?

Is the area (1/2) (base) x (height) ?

On the map, the base and the height are conveniently labeled for you. 
The base is (20 + 36) = 56 km, and the height is 15 km.

I'm sure you can handle it from there, and earn yourself 5 points.
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