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chubhunter [2.5K]
3 years ago
6

Evaluate the surface integral. s xy ds s is the triangular region with vertices (1, 0, 0), (0, 8, 0), (0, 0, 8)

Mathematics
1 answer:
zmey [24]3 years ago
4 0

Parameterize S by

\vec s(u,v)=(1-u)v\,\vec\imath+8uv\,\vec\jmath+8(1-v)\,\vec k

with 0\le u\le1 and 0\le v\le1.

Then the surface element is

\mathrm dS=\|\vec s_u\times\vec s_v\|\,\mathrm du\,\mathrm dv=8\sqrt{66}\,v\,\mathrm du\,\mathrm dv

and the surface integral is

\displaystyle\iint_Sxy\,\mathrm dS=8\sqrt{66}\int_0^1\int_0^18(1-u)uv^3\,\mathrm du\,\mathrm dv=\boxed{8\sqrt{\dfrac{22}3}}

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Give one example of when you would. use the friendly numbers strategy to subtract .Explain why ?
lord [1]
Say you were solving 27 + 19. If you were planning on using the friendly numbers strategy, you'd look at the first <span>addend, 27, and determine that</span> the closest "friendly number" here is thirty, which you'd get by adding 3. From there, you can jump to the next friendly number, forty, by adding another 10. So far you'd've added 13, and you'd need another 6 for that too add up to 19, your second addend. After adding 3, 10, and 6 to 27, you'd find your sum, or "final answer"- 46.

I hope this was what you were looking for!
5 0
3 years ago
The marked price of an article is 30% above it's selling price and the cost price is 35%less than it's marked price. find the di
SashulF [63]

Answer:

Let C be the cost price of the article. Then:

C(1+30%)=marked price

So:

C(1+30%)=C(1.3)

=1.3C

If the article is then marked down 35%, then its’ price would be:

1.3C(1–35%)=1.3C(.65)

=0.845 or 84.5% of its’ cost

Then:

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or, a 15.5% loss on the item

8 0
3 years ago
8x to the 2nd power +2x-3=0
Papessa [141]

Answer:

x= 1/2 and -3/4

Step-by-step explanation:

By using factorization, we can solve this equation.

8x^2+2x-3=0

Factor:

(2x-1)(4x+3)=0

Solve:

2x-1=0

2x=1

x=1/2

Solve again:

4x+3=0

4x=-3

x=-3/4

Hope this helped

5 0
3 years ago
X - 12<br> 2x<br><br> find the perimeter
11111nata11111 [884]

Answer:

6x-24

Step-by-step explanation:

First, we must add x-12 to 2x. We will get 3x-12. Now, to get the perimeter, we must multiply that expression by 2. The answer is 6x-24.

3 0
2 years ago
How many terms of series 64+16+4 have the sum 5461\64?
umka2103 [35]

Answer:

5th term will approximate 5461/64

Step-by-step explanation:

5th term will approximate 5461/64

64+16+4+1+0.25 = 85.25 ≈ 5461/64 = 85.33

3 0
2 years ago
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