Questions asked by Cedric M.

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• A shot travelled at a rate of 100m/s pierced a plunk of 4cm thick. what is the velocity of shot to pierce a 9cm thick?
  
• What is is the difference between streptococci and staphylococci?
  
• How to simplify #sqrt(-81)#?
  
• What is molarity of K^+ in a solution that contains63.3ppm of K_3Fe(CN)_6.?(atomic masses are: K=39.1, Fe=56, C=12 , N=14)
  
• The wagons wheel revolves at 45 revolution per minute. the radius of the wheel is 30cm. what its linear velocity?
  
• Prove each of the following identities (a) sec x + tan x =cos x/1 − sin x (b) tan^2 x/tan^2 x + 1= sin^2 x?
  
• (a) how to write the product sin(7x) sin(3x) as a sum? (b)how to verify that tan(θ + π/4) tan(θ − π/4) = −1.?
  
• How to evaluate each limit below. (a) lim x+2/x^2+x+1 x→∞ (b) lim (1/√x−2 − 4/x−4)? x->4
  
• A particle is moving in a straight line and its distance s, in metres, from a fixed point in the line after t seconds is given by the equation s(t) = t^3 − 12t^2 + 45t. (a) Find the velocity after 2 seconds. (b) Find the acceleration after 2 seconds?
  
• The intensity of sunlight at the Earth's surface is about 1000W/m^2. The average temperature of the Earth is about 58°F. What must the emissivity of the Earth be?
  
• How to find the derivative of f(x) = √x − x from first principles.?