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5(2c - 3) = 19

5x2c - 5x3 = 19

10c - 15 = 19

10c = 19 + 15

10c = 34

c = 34/10 = 3.4

When you differentiate a function it is giving you the rate of change of that function for different values of x. After subituting in, if it is positive it tells us that the graph is increasing, if it is ...

if (X-2) is a factor, f(2)=0

22^3-72^2+4*2+4= 16-28+8+4=0

therefore (x-2) is a factor.

2x^3-7x^2+4x+4=(x-2)(2x^2-3x-2)=(x-2)(2x+1)(x-2)

Because there are two forms of x , the form uv'+vu' must be used.

If y=sinx , dy/dx=cosx 

If y=e^kx , dy/dx=ke^kx

Therefore dy/dx=(sinx)(2e^2x)+(e^2x)(cosx)

Firstly, I would make sure that the student is aware of the basic conept of logarithims and run through the basic "laws" of logarithims to make sure that they have the knowledge they need to ans...