A man on the fifth floor of a building shouts down to a person on the street. If the angle of elevation from the street to the m
2 answers:
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Answer:
4. (a) = 12 m
(b) = 27 cm
(c) = 24 mm
(d) = 18 km
(e) = 10 m
(f) = 36 cm
Step-by-step explanation:
Perimeter is sum the distance round a figure.
if a shape has those, they signify that the shape has two side that are equal
a) 4 + 4 + 2 + 2 = 12. The top part is equal to the bottom part signified by those two lines. And the left is equal to the right .
b) 10 + 10 + 7 = 27
c) 5 + 5 + 8 + 6 = 24
d) 3 + 3 + 6 + 6 = 18
e) 2.5 + 2.5 + 2.5 + 2.5 = 10
f) 12 + 7 + 7 + 5 + 5 = 36
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The line integral along the given positively oriented curve is -216π. Using green's theorem, the required value is calculated.
<h3>What is green's theorem?</h3>The theorem states that,
Where C is the curve.
<h3>Calculation:</h3>The given line integral is
Where curve C is a circle x² + y² = 4;
Applying green's theorem,
P = 9y³; Q = -9x³
Then,
⇒
Since it is given that the curve is a circle i.e., x² + y² = 2², then changing the limits as
0 ≤ r ≤ 2; and 0 ≤ θ ≤ 2π
Then the integral becomes
⇒
⇒
⇒
⇒
⇒
⇒ -216π
Therefore, the required value is -216π.
Learn more about green's theorem here:
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