Answers created by benjidunn

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• How do you find the derivative of # (3+sin(x))/(3x+cos(x))#?
  
• A projectile is shot from the ground at an angle of #( pi)/3 # and a speed of #12 m/s#. Factoring in both horizontal and vertical movement, what will the projectile's distance from the starting point be when it reaches its maximum height?
  
• Is #f(x)=(-x^3+x^2+2x-11)/(x-1)# increasing or decreasing at #x=2#?
  
• What is the equation of the line tangent to #f(x)=(x^2-x^3)e^(-x+2x^2)# at #x=ln5#?
  
• How do you integrate #int (3x-4)/((x-1)(x+3)(x-6)) # using partial fractions?
  
• How do you integrate #int (2x +1) / ((x - 2)(x^2 + 1)) # using partial fractions?
  
• What is the formula for calculating wave speed?
  
• How do you integrate #int (x+4)/(x^2 + 2x + 5)dx# using partial fractions?
  
• The gas inside of a container exerts #12 Pa# of pressure and is at a temperature of #250 ^o C#. If the temperature of the gas changes to #80 ^oK# with no change in the container's volume, what is the new pressure of the gas?
  
• Is #f(x) =e^xsinx-cosx# concave or convex at #x=pi/3#?
  
• How do you find the derivative of #csc (t/2)#?
  
• How do you divide # (6+4i)/(1-i) # in trigonometric form?
  
• How do you integrate #f(x)=(x^2+1)/((x^2+6)(x-4))# using partial fractions?
  
• What is #f(x) = int e^(2x-1)-e^(3x-2)+e^x dx# if #f(2) = 3 #?