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ollegr [7]
3 years ago
13

Estimate the measure of angle 1

Mathematics
1 answer:
fenix001 [56]3 years ago
8 0

Answer:

most likely (c) 140 degrees

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Find the mass of the solid paraboloid Dequals=​{(r,thetaθ​,z): 0less than or equals≤zless than or equals≤8181minus−r2​, 0less th
Lubov Fominskaja [6]

Answer:

M = 5742π  

Step-by-step explanation:

Given:-

- Find the mass of a solid with the density ( ρ ):

                             ρ ( r, θ , z ) = 1 + z / 81

- The solid is bounded by the planes:

                             0 ≤ z ≤ 81 - r^2

                             0 ≤ r ≤ 9

Find:-

Find the mass of the solid paraboloid

Solution:-

- The mass (M) of any solid body is given by the following triple integral formulation:

                           M = \int \int \int {p ( r ,theta, z)} \, dV\\\\

- We can write the above expression in cylindrical coordinates:

                           M = \int\limits\int\limits_r\int\limits_z {r*p(r,theta,z)} \, dz.dr.dtheta \\\\M = \int\limits\int\limits_r\int\limits_z {r*[ 1 + \frac{z}{81}] } \, dz.dr.dtheta\\\\

- Perform integration:

                           M = \int\limits\int\limits_r{r*[ z + \frac{z^2}{162}] } \,|_0^8^1^-^r^2 dr.dtheta\\\\M = \int\limits\int\limits_r{r*[ 81-r^2 + \frac{(81-r^2)^2}{162}] } \, dr.dtheta\\\\M = \int\limits\int\limits_r{r*[ 81-r^2 + \frac{6561 -162r + r^2}{162}] } \, dr.dtheta\\\\M = \int\limits\int\limits_r{r*[ 81-r^2 + 40.5 -r +\frac{r^2}{162} ] } \, dr.dtheta\\\\M = \int\limits\int\limits_r{[ 121.5r-r^2 -\frac{161r^3}{162} ] } \, dr.dtheta\\\\

                           M = 2*\int\limits_0^\pi {[ 121.5r^2-r^3 -\frac{161r^4}{162} ] } |_0^6 \, dtheta\\\\M = 2*\int\limits_0^\pi {[ 121.5(6)^2-(6)^3 -\frac{161(6)^4}{162} ] }  \, dtheta\\\\M = 2*\int\limits_0^\pi {[ 4375-216 -1288] }  \, dtheta\\\\M = 2*\int\limits_0^\pi {[ 2871] }  \, dtheta\\\\M = 5742\pi  kg              

- The mass evaluated is M = 5742π                      

8 0
3 years ago
If it starts out at -10 degrees, what will the temperature be if it rises 30 degrees?
Bond [772]

add 30 to -10:

-10 + 30 = 20

 Answer is B.

4 0
3 years ago
NEED HELP NOW!!!
Amiraneli [1.4K]

<em><u>D.</u></em><em><u> </u></em>

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<em><u>a landscape of farmland bisected by long straight roads"</u></em>

<em><u>divide into two parts.</u></em>

<em><u>hope</u></em><em><u> I</u></em><em><u> help</u></em><em><u> you</u></em><em><u> ☺️</u></em><em><u>❤️</u></em>

<em><u>:</u></em><em><u>)</u></em><em><u> </u></em><em><u> </u></em><em><u>:</u></em><em><u>></u></em>

8 0
2 years ago
What’s the equation and answer of x=-2 and y=-6
IrinaVladis [17]

Answer:

Equation with variable

Step-by-step explanation:

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3 years ago
PLEASE HELP!!!!!!!!!!!!!!!!!
Dmitriy789 [7]

Answer:

7.11\leq-7.1

Step-by-step explanation:

4 0
3 years ago
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