Hyperbolic function questions | form six Pure Advanced Mathematics

Find Hyperbolic function examination questions, form six Pure Advanced Mathematics in acaproso.com

#	Question
1	Sketch the graph of $r=2+4cos t$ . Mathematical Calculation
2	Use the hyperbolic functions substitution to find $int frac{1}{sqrt{(x^{2}+8x+25)}}dx$ . Mathematical Calculation
3	If $x=ln left { an left ( frac{pi}{4} +frac{ heta}{2} ight ) ight }$ , find $e^{x}$ and $e^{-x}$ and hence show that $sinh x= an heta$ . Mathematical Calculation
4	Evaluate $I_{ab}=int sin ax cos bx , dx$ if $a eq b$ and use it to find the value of n in $int_{0}^{n}sin 3x cos 2x , dx=frac{3-sqrt{3}}{5}$ . Mathematical Calculation
5	Find the length of arc of the semi-cubical parabola $y^{2}=x^{3}$ between the points (1,1) and (4,8). Mathematical Calculation