A particle is projected with speed V and angle of elevation alpha from point O on the edge of a cliff of height h. When the particle hits the ground its path makes an angle arctan(2tan(alpha)) with the horizontal.
Why is tan(beta)=vertical velocity/horizontal velocity?
Thanks.
Sketch the graph y=(x+1)^4/x^4+1. Use this graph to find the set of values of the real number k for which the equation (x+1)^4=k(x^4+1) has two real distinct roots.
I sketched the graph, but I don't understand what I should do after.
Thanks for your assistance.
Can you please explain the theory of the steps involved in solving this question, as I'm struggling with these types of questions. Also, any tips on proof questions relating to binomial theorem would be much appreciated.
Thanks for your help.
https://drive.google.com/open?id=0B_RlXPQTW1cRUGtuc3JJTEVPTU0
I need help with question b), I've tried many variations but I couldn't get the correct answer but I'm probably overthinking it, (i just need to know the angle).
Thanks for the help.
https://drive.google.com/open?id=0B_RlXPQTW1cRaHo2bDNCaWFuOFU
I'm unsure on how to approach this question and would appreciate a hint in the right direction.
Thanks for the help :)
https://drive.google.com/open?id=0B_RlXPQTW1cRREVqWmZRRHU1LTg
For a) I used the angle sum of a polygon formula, would this be the correct approach or would I need to do so by other means?
For b) I'm unsure on what to do but I'm probably overthinking it.
Thanks for the help.