Solve the following, giving your answers in terms of ln a: 7 sechx - tanhx =5

7sechx - tanhx = 5 7/coshx - sinhx/coshx = 5 7 - sinhx = 5 cosh x 7 - 0.5(e- e-x) = 2.5(e+ e-x) 7 -0.5e+ 0.5e-x = 2.5e+ 2.5e-x 0 = 3e- 7 + 2e-x 0 = 3e2x - 7ex + 2 0 = (3ex - 1)(ex -2) ex = 1/3   ex =2 x= ln 1/3 x=ln 2

AW

Related Further Mathematics A Level answers

All answers ▸

Show, using de Moivre's theorem, that sin 5x = 16 sin^(5) x - 20 sin^(3) x + 5 sin x 


By use of matrices uniquely solve the following system of equations, justifying each step of the calculation: 3x-7y=6, 5y-2x=-3.


Find the solution the the differential equation d^2y/dx^2 + (3/2)dy/dx + y = 22e^(-4x)


if y = (e^x)^7 find dy/dx