Questions asked by Kunle

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• Determine a simplified expression, for the slope of the secant #PQ# with #P(1, 1/3)# and #Q(1+h, f(1+h))# where #f(x) = 1/sqrt(2x+7)# where #x gt -7/2#. State restrictions on #h#?
  
• Find the following limits if they exist. #lim_(x->5)(|10-2x|)/(3x^2-13x-10)#? #lim_(x->1)(sqrtx-1)/(root(3)x -1)#? Please help
  
• The experimental probability of randomly choosing a red ball from a bag filled with red and blue is #75%.# if there are 4 blue balls in the bag, how many red balls are there?
  
• A fair coin is tossed 4 times. What are the odds against not tossing at least one head?
  
• Of 200 students surveyed, 120 students liked Soda, 75 students liked juice, and 190 students liked soda or juice. How many students liked soda and juice?
  
• Etermine an equation of the line that is tangent to the graph of f(x) =#sqrt(x+1)# and parallel to #x-6y+4=0#?
  
• Determine the values of x so that the tangent to the function#y=3(root(3)x)# is parallel to the line #x+16y+3=0#?
  
• Use the first principle to find the derivative of the function f(x)=#20-:sqrt(x-1)#?
  
• A farmer is building a new cylindrical silo with a flat roof and an earthen floor that will hold #20000 m^3# of corn. What dimensions of the silo will minimize the materials required for construction?
  
• A box is to build with a square base and an open top. Material for the base costs #$4/m^2#, while the material for the sides costs #$2/m^2#. Find the dimensions of the box of maximum volume which can be built at a cost of #$1200#?