Adv 10MC (NE20AP)

What is the value of $$\operatorname{cosec}\frac{\pi}{3}$$  correct to three significant figures?

What is the amplitude of $$f\left(x\right)=-3\sin\left(2x+\frac{\pi}{3}\right)\ ?$$  

What is the natural domain of $$f\left(x\right)=\frac{1}{e^x}$$ ?

What is the equation of the tangent to $$y=x^2-3$$  at $$x=-1\ ?$$  

Which one of the following is the set of all solutions to $$2x^2-5x+2\ge0\ ?$$  

The scatter plot shown relates the quantities x and y.

Which one of the following values is the most appropriate Pearson’s correlation coefficient for x and y?

The graph of $$y=f\left(x\right)$$  has a stationary point at $$\left(2,\ -3\right).$$  

Which one of the following is a guaranteed stationary point of $$y=-f\left(\frac{x}{2}\right)-5\ ?$$  

Which one of the following equations is NOT correct?

A particle moves according to the equation $$x=t^2-\ln\left(t+1\right),$$  where $$t\ge0.$$  How may times does the particle come to rest?