Questions asked by Katherine L.

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• What is the equation of the tangent line and normal line to y = 2x#e^x# at (0, 0)?
  
• What is the equation of the tangent line to #y^2(y^2-4)=x^2(x^2-5)# at (0, -2)? Use implicit differentiation.
  
• What is the antiderivative of the function, f'(x)=#sqrtx#(6+5x), and f(1)=10?