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2x become x²

3x^1/2 becomes 2x^3/2

1 becomes x

sub 9 into values for x = (81 - 54 +9) which equals 36

sub 4 into values for x = (16 - 16 + 4) whi...

9^ (3x + 1)

We know that 3 to power of 2 equals 9.  3x3 = 3^2 = 9, 

= 3^ (2 * [3x + 1])

We simply the term because 2 * [3x + 1] = 6x + 2

= 3^ ( 6x + 2) 

This term is in ...

Firstly, solve 0=14-x^2 to find the horisontal distance to the edges of the tunnel. x1=sqrt(14), x2= -sqrt(14).

Integrate h=14-x^2 between x1 and x2 28*sqrt(14) -(2(sqrt(14)^3))/3. This is the requ...

Starting with a(x - b)^2 - c, if we expand the bracket we get:

a(x^2 - 2xb + b^2) -c

Since we need to end up with the coefficient on x^2 being 3 and in the expression above x^2 is only multi...

|Z| = sqrt(1/2^2 + (sqrt(3)/2)^2) = 1 arg(Z) = arctan((sqrt(3)/2)/(1/2)) = pi/3 Z = cos(pi/3) + jsin(pi/3) Z = e^j(pi/3) Apologies for the use of sqrt(), I have no way yet of using the symbol on my laptop...