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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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A convenience store pays a farmer $1.25 per pineapple. If it costs the farmer $0.15 in seeds, $0.25 in fertilizer, and $0.25 in
maw [93]

Answer:

$0.60

Step-by-step explanation:

The costs are:

$0.15 + $0.25 = $0.40

He sells it for $1.25.

The value added is:

$1.25 - $0.40 = $0.85

6 0
3 years ago
Nate is 4 years older than 2 times his brother’s age. Write a rule that represents Nate’s age “n” as a function of his brother’s
IRINA_888 [86]

Answer:

n = 2b + 4

Step-by-step explanation:

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6 0
3 years ago
A point in rectangular coordinates is given. Convert the point to polar coordinates. Round your answers to two decimal places.
postnew [5]

Answer:

(√74, 54.46°)

Step-by-step explanation:

The rectangular coordinate point is given as; (5, 7)

Now, converting rectangular coordinates to polar coordinates is done by;

(r, θ)

Where, r is the magnitude while θ is the angle

r = √(5² + 7²)

r = √74

tan θ = (7/5)

θ = tan^(-1) 1.4

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3 0
2 years ago
A bag contains 8 beads.
kolezko [41]

Answer:

5/8

Step-by-step explanation:

→ Work out how many red

8 - ( 2 + 1 + 2 ) = 3

→ Add up red and purple

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→ Divide over total number of beads

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3 0
1 year ago
Find the value of 5x-6 given that 2x-7=9​
erik [133]

Answer:

34

Step-by-step explanation:

Given that

2x - 7 = 9 ← solve for x

Add 7 to both sides

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x = 8

Substitute x = 8 into 5x - 6

5x - 6 = (5 × 8) - 6 = 40 - 6 = 34

4 0
3 years ago
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