Questions asked by zayn

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• How to evaluate the limit of #lim(1/t^2)sin^2(t/2)# when t approaches 0?
  
• How to sketch the graph f(x)=# |x^2-1|/(x^2-1)# showing any points of discontinuity, horizontal or vertical asymptotes and x and y intercepts?
  
• How to differentiate #1/(2x+1# by first principles?
  
• How to write an equation of the line tangent to the curve #(3x^2)/(x^2+x+1# at point p(-1,3) in the form ax+by=c?
  
• What are the maximum and minimum values of the function #abs(2x-3# at closed intervals [1,2]?
  
• How to find #(partial^2z)/(partialx^2# given #z(x,y)=e^(-3x)cosy# ?
  
• How to find Find F' of #int_x^10(t+1/t)dt# Using the Fundamental Theorem of Calulus?
  
• Find the cartesian equation ofthe point p(x,y) representing the complex number z, given that #abs(z-1)=sqrt2abs(z-i# Show that the locus is a circle and state its radius and the coordinates of its center?
  
• How to find the probabilty in this question?