`2^(frac{1}{2}). 4^(frac{3}{4})` is equal to

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

Sameera purchased 3 frac{1}{2} kg apples and 4 frac {3}{4} kg oranges. What is the total weight of fruits purchased by her?

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

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

(1/5^-2 -1/4^-3 )x -1/2^-4 is equal to

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

If int frac{xdx}{x^2-4x+8}=K log (x^2-4x+8)+tan^(-1)(frac{x-2}{2})+C , then the value of K is:

If f(x)=x^3-frac{1}{x^(3)} find the value of f(x)+f(frac{1}{x})

If z(x+y)= x^2 +y^2 show that (frac{delz}{delx}-frac{del z}{del y})^2 = 4 (1- frac{delz}{delx}+frac{delz}{dely})

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