Answer:
Step-by-step explanation:
1) True. This is because the divergence of F is 1, thus, F is a linear function. Orientation is given outward to the surface. Linear function double integrated over a surface with outward orientation gives volume enclosed by the surface.
2) True. This is primarily what the Divergence theorem is.
3) False. If F was 3/pi instead of div(F), then the statement would have been true.
4) False. The gradient of divergence can be anything. The curl of divergence of a vector function is 0, not the gradient o divergence.
5) False. While finding Divergence, derivatives are taken for different variables. Since the derivatives of constants are 0, therefore, both the vector functions F and G can be different constant parts of there components even if their divergences are equal.
The tension in the string balances out, and thus equals the centripetal force of the ball
T = mv^2/r
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if it only takes half the time to finish one orbit it has to be moving at twice the original speed. </span>
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And since v is squared T will increase by 4 </span>
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T' = m(2v)^2/r </span>
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T' = 4mv^/r = 4T </span>
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T' = 24.0 N
I hope my answer has come to your help. Have a nice day ahead and may God bless you always!
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Answer:
The score of 271.2 on a test for which xbar = 240 and s = 24 has a higher relative position than a score of 63.6 on a test for which xbar = 60 and s = 6.
Step-by-step explanation:
Standardized score, z = (x - xbar)/s
xbar = mean, s = standard deviation.
For the first test, x = 271.2, xbar = 240, s = 24
z = (271.2 - 240)/24 = 1.3
For the second test, x = 63.6, xbar = 60, s = 6
z = (63.6 - 60)/6 = 0.6
The standardized score for the first test is more than double of the second test, hence, the score from the first test has the higher relative position.
Hope this Helps!!!
Answer:
4
Step-by-step explanation:
Mean = sum of scores /number of scores
We have four scores given ,so, the sum of the scores given will be divided by the number of scores which is 4
