`frac{-2}{3} xx frac(3}{5}+ frac{5}{2}-frac{3}{5}xx frac{7}{6}`

3frac{1}{13}+1frac{4}{13}+2frac{3}{13}

Prove that Cos frac{pi}{5} + Cos frac{2pi}{5} + Cos frac{6pi}{5} + Cos frac{7pi}{5} = 0

frac{dP}{dx} = frac{d}{dx} (x^3) (frac{7-2x}{3})^(4)

solve the equations: frac{2}{sqrt x} + frac{3}{sqrt y} =2 and frac{4}{sqrt x} - frac{9}{sqrt y} =-1

x frac{dy}{dx} = y - xcos^2 frac{y}{x}

frac{1}{sqrt7-4} frac{1}{sqrt11-7}

cos frac{3pi}{4}-iota sin frac{3pi}{4}

if y= x^m then Y n is equal to: (A) frac{m!}{m-n!} x^(m-n) (B) frac{m!}{n-m!} x^(m-n) (C) frac{n!}{m+n!} x^(m+n) (D) frac{n!}{n-m!} x^(m-n)

dy/dx = frac{2x+y}{x}

\lim _{x\to 0}(\frac{1}{e^x-1}-\frac{1}{x}\)