WAEC QUIZ 4

Simplify: $$\left(\frac{1}{\sqrt[]{3}-1}+\frac{1}{\sqrt[]{3}+1}\right)^2.$$

Solve for x, if $$\sin^2x+\sin x=0,\ for\ 0\degree<x<360\degree.$$

Solve $$3^{2x}-4\left(3^x\right)+3=0.$$

For what value of x will $$\log_24x+\log_2\left(x+4\right)=7\ ?$$

Find the coefficient of $$x^4$$ in the expansion of $$\left(\frac{1}{x}-x\right)^6.$$

If $$f\left(x\right)=2x^3+x^2+mx-6\ and\ f\left(-2\right)=-4,$$ find the value of m.

Given that $$f\left(g\left(x\right)\right)=x\ and\ f\left(x\right)=5x-2,\ find\ g\left(x\right).$$

The first and sixth terms of an exponential sequence (G.P.) are $$3\ and\frac{3}{32}$$ respectively. Find the common ratio of the sequence.

If $$\int_1^2\left(kx^2+x+2\right)dx=0,$$ find the value of the constant k.