Search over 10,000 free study notes

We have 2tan(th) / (1 + tan^2(th)) = sin(2th)

We know that tan(A) = sin(A) / cos(A), and 1 + tan^2(A) = sec^2(A)

Therefore => (2sin(th) / cos(th)) / sec^2(th)

=> 2sin(th)*cos^2(...

We have 3^(2x+1) = 4^100

=> log(3^(2x+1)) = log(4^100)

=> (2x+1)log(3) = 100log(4)

Outline some of examples of soft and hard engineering techniques as well as their definition. Soft engineering advantages include: Relatively cheap, low maintenance, environmentally friendly and 'green', ...

The first step is to differentiate both sides of this equation with respect to x - we will then be able to solve for dy/dx. Differentiating the right side of the equation gives d/dx(17)=0. We’ll different...

M_r of MgCl₂ = 24.3 + 2(35.5) = 95.3 Moles added = 2.11/95.3 = 0.02214 Mol of cl^-  added = 20.02214 = 0.04428 Conc = 0.04428/(3010^-3) = 1.48 moldm^-...