Answers edited by Alexander

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• What is the power series for #ln(1+x^4)#?
  
• How do you find the Maclaurin Series for #sin(x^2)/x#?
  
• How do you find the Maclaurin Series for #f(x) = e^(3x)#?
  
• What is the equation of the tangent line of #y=1/x^2# at #x=1#?
  
• What is a general solution to the differential equation #y'=sqrtxe^(4y)#?
  
• How do you integrate #x(x^(2/3))dx#?
  
• How do you find the angle between the vectors #u=5i+5j# and #v=-8i+8j#?
  
• How do you find the antiderivative of #((cosx)^2)*(sinx)#?
  
• How do you solve #7x^2 - 63 = 0#?
  
• What is the antiderivative of #x^2/2#?
  
• How do you solve #x + y =1# and #2x-y=-2# using substitution?
  
• How do you find the limit of # sin(7x)/x# as x approaches 0?
  
• How do you evaluate the integral #int x/(sqrt(16-x^2)dx# from 0 to 4?
  
• How do you find the antiderivative of #sin^2(x)cosx#?
  
• How do you prove #(1 + cot²θ) / secθ = cscθcotθ#?