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meriva
3 years ago
6

1 point) Use Stoke's Theorem to evaluate ∫CF⋅dr∫CF⋅dr where F(x,y,z)=xi+yj+1(x2+y2)kF(x,y,z)=xi+yj+1(x2+y2)k and CC is the bound

ary of the part of the paraboloid where z=81−x2−y2z=81−x2−y2 which lies above the xy-plane and CC is oriented counterclockwise when viewed from above.
Mathematics
1 answer:
Drupady [299]3 years ago
3 0

Answer:

0

Step-by-step explanation:

Thinking process:

\int\limits^a_b {cF} \, .dr

= \int\limits^a_b {x} \, dx \int\limits^a_b {x} \, dx curlFdS by Stoke's Theorem

= \int\limits^a_b {} \,  \int\limits^a_b {} \, < 12y, -12x, 0 > .< z_x,-z_y, 1 > dA\\= \int\limits^a_b {} \, \int\limits^a_b {} \, < 12y, -12x, 0 > .< 2x, 2y, 1 > dA since z = 25-x^{2} -y^{2} \\= 0

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F(x) = 3x<br> g(x) = x2 – 5x - 9<br> Find (fºg)(x).
Eddi Din [679]

Answer:

\boxed{(f.g)(x) = 3 {x}^{3}  - 15 {x}^{2}  - 27x}

Given:

f(x) =  x + 2 \\  \\ g(x) =  3x + 5

To Find:

(f.g)(x) = f(x) \times g(x)

Step-by-step explanation:

=  > f(x) \times g(x) = (3x)( {x}^{2}  - 5x - 9) \\  \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  = (3x \times  {x}^{2} ) - (3x \times 5x) - (3x \times 9)\\  \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  = 3 {x}^{3}  - 15 {x}^{2}  - 27x

8 0
3 years ago
Estimate the quotient.
Vika [28.1K]
You divide the two and that's your answer
8 0
3 years ago
Read 2 more answers
I want a way to solve this question​
noname [10]

Answer:

Step-by-step explanation:

cos~L=\frac{m^2+n^2-l^2}{2mn} \\=\frac{5^2+8^2-7^2}{2*5*8} \\=\frac{25+64-49}{80} \\=\frac{40}{80} \\=\frac{1}{2} \\=cos 60\\

∠L=60°

5 0
2 years ago
*20 POINTS PLEASE HELP*
Softa [21]

Answer:

upper right 31 middle right 24, bottom right 55

upper middle 10, center box 7, lower middle 17

upper left 41, middle left 31, bottom left 72

Step-by-step explanation:

cat and dog is the overlapping part of th diagram, 31 people like both.

dog and not cat is the left side of the

diagram, 24 people only like dogs

the total of people who like dogs is adding the left number with the the center number and 55 people all like dogs

dislikes dogs likes cats is the right side of the diagram, 10 people

not dog not cat, those who want neither are outside both bubbles, 7

the total of people who would not get a dog is 17

the total of people who like cats is the middle of the chart and the right added together 31+10 is 41

the total of people who dont like cats is the left side and the number of people who dont like anything 24+7 is 31

the total number of all the people could be gotten by adding all the number on the display together 24+31+10+7=72

or by adding the other bottom totals 55+17= 72, or by adding the other left totals together 41+31=72

3 0
3 years ago
Mr. Brown's salary is $32,000 and it increases by 3% each year. What is the explicit rule for this sequence in simplified form?
katovenus [111]

Answer:

This is the concept of geometric series. We are required to find the recursive formula for year n. Here we will use the formula;

nth=ar^(n-1)

where;

a=first term

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n=nth term

Thus

a=8.50

r=(8.85)/(8.50)=1.0412

thus the formula will be:

nth=8.50(1.0412)^n

3 0
3 years ago
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