Determine the coefficient of x$^3$ in the binomial expansion of ( 1 + $\frac{1}{2}$x) 

Similar Questions

The gradient ofy= 3x$^2$ + 11x + 7 at P(x.y) is -1. Find the coordinates of P. ...

Given that $P = \begin{pmatrix} 4 & 9 \end{pmatrix}$ and \(Q = \begin{pmatrix} -1 & -2 \\ ...

Forces 50N and 80N act on a body as shown in the diagram. Find, correct to the nearest whole number,...

If $3x^2 + p x + 12 = 0$ has equal roots, find the values of p ....

If $a = \begin{pmatrix} 3 \\ 2 \end{pmatrix}$ and $b = \begin{pmatrix} -3 \\ 5 \end{pmatrix}$, f...

If $2\log_{4} 2 = x + 1$, find the value of x....

Evaluate $\lim \limits_{x \to 3} \frac{x^{2} - 2x - 3}{x - 3}$...

A binary operation $\Delta$ is defined on the set of real numbers, R, by \(a \Delta b = \frac{a+b}...

If $f(x) = \frac{1}{2 - x}, x \neq 2$, find $f^{-1}(-\frac{1}{2})$....

Find the angle between $(5i + 3j)$ and $(3i - 5j)$...