Double check what the text book actually wrote if it wrote (d/dx)*y to mean dy/dx then throw it away.
More likely you have misinterpreted the text. Is it possible to scan the page and include it in your next post?
3. acos(h/r) is theta, ie half the angle of the sector at the centre. Need to double your result.
2 is submerged area + wet area above water
5 is submerged area
for 6 you are working out wet area above water
thomas49th is taking what is called General Secondary Certficate Examination (GCSE) in Maths in England. It includes number, algebra, statistics and geometry and is taken at the age of 16. The examination is graded A,B,C,D,E,F, U (unclassified). Students achieving grades A or B will be allowed...
NO ABSOLUTELY NOT. Just as Hallsof Ivy said.
The webpage above is for vector displacement not distance between points.
Lots of people have been pointing you in the right direction including me. Sometimes to follow advice you have to let go of the idea of what you were attempting was right...
The question show in from an examination paper for GCSE. Thomas49th will have been given past examination papers for practice. The examination will take place in May.
Thomas49th you will not have been shown the distance formula for GCSE but you will have covered pythagoras and should be able...
Depends on the wording of the question
verify that x=180 is a solution of ..... use the first method
show that x=180 is a solution of...... use the second method.
To verify x=180 is a solution
LHS is sin(360)=0
RHS is 2 -2cos(360)=2-2=0
LHS=RHS so x=180 is a solution
to obtain x=180 as a solution
(1-cos2x)=(tanx)(sin2x)
sin2x=2(1-cos2x)
sin2x=2(tanx)(sin2x)
sin2x-2tan(x)(sin2x)=0
sin2x(1-2tanx)=0
sin2x=0 or 1-2tanx=0
This gives that a player on average will lose $24.90 on a $100 dollar bet.
Your questions asks for the expected net winnings for the winner so this is not the same thing. I was assuming this question was really about expected values and as you had had difficulty in finding anything about...