I need help! please and thank you
1 answer:
Answer:
m
OR
62.8318531 m
Step-by-step explanation:
This is actually pretty simple
The distance the tip travels is the arc length and the length of the pendulum is the radius of a circle
The formula for arc length is <u>Angle in Radians x Radius</u>
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So pi/12 * 4 = pi/3 m
We know this is how much it travels every second so it is going at pi/3 m/s
One minute is 60 seconds
pi/3 * 60 = 20pi m
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Answer:
1/2
Step-by-step explanation:
The interior of the square is the region D = { (x,y) : 0 ≤ x,y ≤1 }. We call L(x,y) = 7y²x, M(x,y) = 8x²y. Since C is positively oriented, Green Theorem states that
Lets calculate the partial derivates of M and L, Mx and Ly. They can be computed by taking the derivate of the respective value, treating the other variable as a constant.
- Mx(x,y) = d/dx 8x²y = 16xy
- Ly(x,y) = d/dy 7y²x = 14xy
Thus, Mx(x,y) - Ly(x,y) = 2xy, and therefore, the line ntegral is equal to the double integral
We can compute the double integral by applying the Barrow's Rule, a primitive of 2xy under the variable x is x²y, thus the double integral can be computed as follows
We conclude that the line integral is 1/2