Questions asked by Hayden L.

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• How can I simplify sin2xcosx+cos2xsinx?
  
• How can I determine the exact values for tan75?
  
• How can I find c and d if #8 cos (theta - pi / 3)=c sin theta + d cos theta#?
  
• Is there a difference between a molecule and an atom?
  
• How would you justify whether reactivity is a chemical or physical property?
  
• How do you graph #y = cos(90-A)# as sinA?
  
• How do I find the mass of copper(II) hydroxide which is formed when excess copper(II) sulfate is added to 100mL of a 0.450 mol #L^-1# solution of sodium hydroxide?
  
• The average of two numbers is 18. When 2 times the first number is added to 5 times the second number, the result is 120. How do I find the two numbers?
  
• Petra is 4 times as old as Philippa. In 8 years time she will be 5 times as old as Philippa. How old are Philippa and Petra?
  
• How many grams of KOH are needed to neutralise 500mL of 2mol #L^-1# H2SO4?
  
• At what point on the quadratic y=#x^2#-4x-1 is the tangent parallel to the straight line y=-2x+5?
  
• Without the use of the solve function of a calculator how do I solve the equation: #x^4-5x^3-x^2+11x-30=0#?
  
• How do I algebraically simplify this expression #((x-5)/2-1)/3#?
  
• What is the domain and range of #sqrt((5x+6)/2)#?
  
• How do you find the equations of the tangent and normal of the curve at #x=t^2#, #y=t+3#, #t=1#?
  
• How do you find the derivative and double derivative of the equation #f(x)=xe^(-x^2)#?
  
• How do you find the equations of the tangents to #5x^2-4y^2=4# at those points where the curve is cut by #5x-2y=4#?
  
• How do you find the factors of #f(z)# over C if #f(z)=2z^3+3z^2-14z-15#?
  
• How do you express #sqrt(2+i)# in polar form?
  
• How do you factorize #-9z^2+24z-32# over C?
  
• How do you find the value of a if #2i# is a root of #z^3-2z^2i+az-32i=0#?
  
• How do you use Demoivre's theorem to show that #sin6theta=sin2theta(3-4sin^2theta)(1-4sin^2theta)#?
  
• How do you write the balanced half equation for the oxidation of methanal (formaldehyde), #CH_2O# to #CO_2#?
  
• How do you simplify #(sina+tana)/(1+cosa)#?
  
• How do you simplify #tanx/(1-tanx)+cosx/(sinx-cosx)#?