Questions asked by Remi L.

• Back to user's profile
• limit of (e^x -1)/2x as x tends to 0?
  
• 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?
  
• 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?
  
• If A(1,-3,2) find the coordinates of two points which are equidistant from A and have the magnitude of 5?
  
• 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?
  
• 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 ?
  
• Solve: #d^2x//dt^2 + g sin theta t =0# if # theta=g//l# , and g and l are constants?
  
• 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?
  
• 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?