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2 years ago

Help this is due in a few minutes

Mathematics

2 answers:

Genrish500 [490]2 years ago

5 0

Answer:

Either b or e

Step-by-step explanation:

Vadim26 [7]2 years ago

4 0

Answer:

C and E for sure and then it's either B or D. hope this helps lol

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A tank has the shape of a surface generated by revolving the parabolic segment y = x2 for 0 ≤ x ≤ 3 about the y-axis (measuremen

Darina [25.2K]

Answer:

$100\pi\int\limits^9_0 {(\sqrt y)^2(14-y)} \, dy$ ft-lbs.

Step-by-step explanation:

Given:

The shape of the tank is obtained by revolving $y=x^2$ about y axis in the interval $0\leq x\leq 3$ .

Density of the fluid in the tank, $D=100\ lbs/ft^3$

Let the initial height of the fluid be 'y' feet from the bottom.

The bottom of the tank is, $y(0)=0^2=0$

Now, the height has to be raised to a height 5 feet above the top of the tank.

The height of top of the tank is obtained by plugging in $x=3$ in the parabolic equation . This gives,

$H=3^2=9\ ft$

So, the height of top of tank is, $y(3)=H=9\ ft$

Now, 5 ft above 'H' means $H+5=9+5=14$

Therefore, the increase in height of the top surface of the fluid in the tank is given as:

$\Delta y=(14-y)$ ft

Now, area of cross section of the tank is given as:

$A(y)=\pi r^2\\r\to radius\ of\ the\ cross\ section$

Radius is the distance of a point on the parabola from the y axis. This is nothing but the x-coordinate of the point.

We have, $y=x^2$

So, $x=\sqrt y$

Therefore, radius, $r=\sqrt y$

Now, area of cross section is, $A(y)=\pi (\sqrt y)^2$

Work done in pumping the contents to 5 feet above is given as:

$W=D\int\limits^{y(3)}_{y(0)} {A(y)(\Delta y)} \, dy$

Plug in all the values. This gives,

$W=100\int\limits^9_0 {\pi (\sqrt y)^2(14-y)} \, dy\\\\W=100\pi\int\limits^9_0 { (\sqrt y)^2(14-y)} \, dy\textrm{ ft-lbs}$

7 0

2 years ago

Im DESPERATE for help. only answer if you are 100 percent sure please!! **WILL GIVE BRAINLIEST**

shutvik [7]

Answer:

the answers are d and b

Step-by-step explanation:

d. 19x - 18 = -19x + 18

38x - 18 = 18

38x = 36

x= 36/38= 18/19

b. 19x + 18= -19x + 18

38x + 18 = 18

38x = 0

x =0

3 0

2 years ago

Read 2 more answers

Convert 1.50 micrometers^2 to m^2. Show your solution.

Vadim26 [7]

Here is the solution for the problem:

1m * 1m = 1m² 
1m = 1,000,000µm = 1 x 10^6µm 
1 x 10^6µm * 1 x 10^6µm = 1m² 
1x10^12µm² = 1m² (Now, divide both sides by 1x10^12). 
1x10^12µm² / (1 x 10^12) = 1m² / (1 x 10^12) 
1µm² = 0∙000 000 000 001 m² (x both sides by 1.5). 
1.5µm² = 0∙000 000 000 0015 m² 
1.5µm² = 1∙5x10^-12 m²

So 1.50 micrometers^2 is equal to 1.5 x 10^-12 m². I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

8 0

3 years ago

In finding the solution of the equation 5-3x=2x+9, 3x is added to both sides of the equation first. Which of the following shoul

Semmy [17]

Answer:

A add -9

Step-by-step explanation:

After this you should add -9 to bring it over to the left side.

7 0

2 years ago

The cost of two walnuts varies proportionality with weight

dmitriy555 [2]

Answer:

c = 2.5w

Step-by-step explanation:

c- being the cost

and

w- being how many pounds

6 0

2 years ago

Read 2 more answers

Help this is due in a few minutes​

Help this is due in a few minutes