Answers created by Napoléon Bonaparte

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• A triangular plate with height 6 ft and a base of 8 ft is submerged vertically in water so that the top is 3 ft below the surface. How do you express the hydrostatic force against one side of the plate as an integral and evaluate it?
  
• For what values of r does the function y = #e^(rx)# satisfy the differential equation 5y'' + 14y' − 3y = 0?
  
• What can you say about the graph of a solution of the equation y' = #(xy^3)/36# when x is close to 0?
  
• How do you identify the vertex for #( x + 3) ^ { 2} = - 8( y - 2)#?
  
• Question #f0c11
  
• How do you evaluate #int# #arctan(sqrt(x))/sqrt(x)# dx?
  
• What is the slope of a line x=6?
  
• Which of the following integrals can be best evaluated using integration by parts?
  
• Question #d357e