Answer: Mass of Lamina is (K/3)
Centre of mass is (3/8, 3pi/16)
Step-by-step explanation:
Find explanation in the attachments
Answer:
when 2 lines intersect ,4 angles are formed.in that vertically opposite angles will be equal. adjacent angles will be found using linear pair{sum of linear pair of angles will be 180degree}.
Step-by-step explanation:
because
D...........................................
Answer:
24.5
Step-by-step explanation:
A calculator or spreadsheet is good for doing this sort of computation.
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You add up the magnitudes of the differences between the given y-value and the corresponding value you get from the equation. For the first couple of points, these values are ...
... |3 - (0.1·1 +2.9)| = 0
... |2.5 -(0.1·6 +2.9)| = |2.5 -3.5| = 1
The computation proceeds like this for the remaining 6 points, and the numbers added. The result is 24.5.
9514 1404 393
Answer:
(dN)/(dt) = (0.4)/(1200)N(1200-N) -50
142 fish
Step-by-step explanation:
A) The differential equation is modified by adding a -50 fish per year constant term:
(dN)/(dt) = (0.4)/(1200)N(1200-N) -50
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B) The steady-state value of the fish population will be when N reaches the value that makes dN/dt = 0.
(0.4/1200)(N)(1200-N) -50 = 0
N(N-1200) = -(50)(1200)/0.4) . . . . rewrite so N^2 has a positive coefficient
N^2 -1200N + 600^2 = -150,000 +600^2 . . . . complete the square
(N -600)^2 = 210,000 . . . . . simplify
N = 600 + √210,000 ≈ 1058
This steady-state number of fish is ...
1200 - 1058 = 142 . . . . below the original carrying capacity
