Questions asked by Remi L.
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limit of (e^x -1)/2x
as x tends to 0?
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The population P(t) of a species satisfies the logistic differential equation dp/dt=P{2-(P/5000)}, where initial population P(0)=3000 and t is the time in years. What is the limit P(t) as t tends to infinity?
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If the limit of f(x) as x tends to a = L and the limit of g(x) as x tends to a =M
Proof that,
lim[f(x)-g(x)] as x tends to a
= L-M?
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If A(1,-3,2) find the coordinates of two points which are equidistant from A and have the magnitude of 5?
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A boy can swim with a speed of 26m/s in still water. He wants to swim across a 150m river from a point A to point B which is directly opposite the other side of the river. The river flows with a speed 10m/s?
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A right circular cone has a given curved surface A. Show that when its volume is maximum the ratio of the the height to the base radius is √2:1 ?
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Solve:
d^2x//dt^2 + g sin theta t =0
if
theta=g//l , and g and l are constants?
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A vessel cylindrical in shape and closed at the top and the bottom of the radius R and height H.The vessel is completely filled with water?
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A projectile fired with a speed of v=60m/s at an angle of 60°. a second projectile is then fired with the same initial speed 0.5s later. Find the angle theta of the second projectile so that they will collide and what position (x, y) will it occur?