Revision 1 year DP math

Exponentials: 8^{\frac{4}{3}} = ?

Calculus: find \frac{dy}{dx} if y=\pi x^2

if f\left(3\right)=4 find f^{-1}\left(4\right) ?

Functions: find the domain of the function y=\sqrt{x+4}

\cos2x=

describe points A,B,C,D

find the equation of vertical asymptote?

Rational: find the equation of horizontal asymptote?

State the point of intersection of with y-axis? y=4x-3+2x^2

L₁ has equation: y=\frac{2}{3}x+4. L₁ is perpendicular to L₂. State the gradient of L_2.

YOU DID IT! YOU ARE HEROES OF DP FIRST YEAR!

Qudratics: State the coordinates of the vertex of y=-2\left(x-3\right)^2+5

Trigonometry: period of y=\sin x is :

Describe the translation which map y=f\left(x\right) onto y=g\left(x\right)?

The perpendicular bisector of [AB] is the line segment, which is:

\sin2x=

State the axis of symmetry?

Logarithms: \log_24 = ?

Linear: to determine the EQUATION OF A LINE, we need to know:

\ln e^4 = ?

x^{\frac{3}{2}}\times x^{^{-\frac{1}{2}}} = ?

27^{-\frac{2}{3}} = ?

solve the equation 2^{x-1}=16

find the gradient of the tangent to y=x^2 at \left(2,4\right)

amplitude of y=2\cos x is:

If f\left(x\right)=x^2+2 and g\left(x\right)=3x-2 find (f\circ g)(x)?