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ale4655 [162]
4 years ago
7

Help a human with dis question

Mathematics
2 answers:
nlexa [21]4 years ago
8 0

Answer:

Step-by-step explanation:

Would help but only points sooo

GuDViN [60]4 years ago
5 0

Answer:

C

Step-by-step explanation:

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Evaluate the surface integral ∫ ∫ₛ G(x, y, z) dS using a parametric description of the surface. G (x, y, z ) = 2z² ​, over the h
mixas84 [53]

Answer:

Step-by-step explanation:

Given the surface

G(x, y, z) =2z²

Over the hemisphere

x² + y² + z² = 36. For z≥0

Using polar coordinate

x=sin Φ cos θ,

y = sin Φ sin θ,

z = cos Φ

0 ≤ Φ ≤ π/2, 0 ≤ θ ≤ 2π

Therefore

r(Φ, θ) = sin Φ cos θ i + sin Φ sin θ j + cos Φ k

Also, dS= |rθ×rΦ|= sinΦ

dS=sinΦdΦdθ

Then we want to compute the volume integral of

∫ ∫ₛ G(x, y, z) dS

G(x, y, z) =2z²

Therefore in polar forms

G(x, y, z) =2(cos Φ)²

G(x, y, z) = 2cos²Φ

Given that dS=sinΦdΦdθ

∫ ∫ₛ G(x, y, z) dS

∫ ∫ 2cos²ΦsinΦdΦdθ at 0 ≤ Φ ≤ π/2,

0 ≤ θ ≤ 2π

∫ 2cos²ΦsinΦ •θdΦ from 0 ≤ θ ≤ 2π

2∫cos²ΦsinΦ •(2π-0)dΦ

4π∫ cos²ΦsinΦ dΦ from 0 ≤ Φ ≤ π/2

Let U = cosΦ

dU/dΦ =-sinΦ

-dU/sinΦ =dΦ

4π∫ U²sinΦ(-dU/sinΦ) 0 ≤ Φ ≤ π/2

-4π∫ U² dU

-4π U³/3, then U=cosΦ

[-4πcos³Φ / 3 ] from 0 ≤ Φ ≤ π/2

[-4π cos³(π/2)/3 - [-4π cos³(0)/3]

0+4π/3

4π/3

4π/3 unit²

8 0
4 years ago
Pls show steps on how to do it
qwelly [4]

Step-by-step explanation:

½× 10 × 5√3 cm² =

25√3 cm²

or

43.30 cm²

7 0
3 years ago
Read 2 more answers
Q # 1 Graph the function<br>Y = |X + 2| - 3
Svetllana [295]
First of all we know the Absolute Value Function that is:

\left | x \right |= \left \{ {{x \ \ \ \ x \geq 0} \atop {-x \ \ \ \ x\ \textless \ 0}} \right.

This is called the Parent Function <em>of the Absolute Value Function.</em>

From the equation:

y=\left | x+2 \right |-3

The term:

\left | x+2 \right |

means that the the Parent Function is <em>shifted</em> two units <em>to the left</em>.

On the other hand, the term:

-3

means that the function \left | x+2 \right | is <em>shifted</em> three units <em>downward. </em>So the result is the graph shown below

4 0
3 years ago
Read 2 more answers
Penn buys a large sub sandwich to serve at a party. Penn cuts the sandwich into equal peoces to serve 8 guests. Write an equatio
malfutka [58]
Let s represent the sandwich and p represent the portion
<span>s=8p</span>
5 0
3 years ago
The product of the slopes of perpendicular lines is ?1. Which function represents a line that is perpendicular to y = ?6x + 7?
kolbaska11 [484]

Answer:

See below

Step-by-step explanation:

Perpendicular lines have slopes which are negative reciprocals. When the slopes are multiplied like 3 and -1/3 is -1.

This means the line y = -6x + 7 which has slope -6 will have a perpendicular line that has slope 1/6.

Any equation which has slope 1/6 is a solution.

Example 1/6x - 1 or 1/6x + 7 or etc.

5 0
4 years ago
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