Find an approximate of `(0.99)^3` using the first three terms of its expansions.

Find an approximation of (0.99)^5 using the first three terms of its expansions.

Find an approximation of (0.99)^5 using the first three terms of its expansion.

Find a, b and n in the expansion of (a+b)^n if the first three terms of the expansion are 729, 7290 and 30375, respectively.

Find an approximate value of (25)^(1//3) using differentials.

Find the 6th term in the expansion of (x+3)^9 .

Find the approximate value of tan^(-1)(0.999) using differential.

Find the approximate value of sqrt25.3 using differentials.

Using differentials, find the approximate the value of root3(0.026) upto three places of decimals.