Find the smallest number by which each of the following numbers must be multiplied to obtain a perfect cube: i) 243 ii) 3072 iii) 11979 iv) 19652

 

Show that each of the following numbers is a perfect cube: i) 1728 ii) 5832 iii) 13824 iv) 35937

 

Which of the following numbers are not perfect cube? give reasons in support of your answer: i) 648 ii) 729 iii) 8640 iv) 8000

 

if y = (sec⁡x-tan⁡x )/(sec⁡x+tan⁡x ), show that dy/dx = - 2 secx / (secx + tanx)2