1. Find the binomial expansiono up to the fifth term. [10] Show transcribed image text
1. Find the binomial expansion ofr+1-pto the fifth term. [10]
Use the Binomial Theorem to show that Σ(-1): c(n, k)= 0 -0
33. Find the fifth term and the nth term of the geometric sequence whose initial term a1 = -2 and the common ratio is r=4.
Given a geometric sequence whose third term 3/4 and seventh term is 243/64. Find the fifth term of the sequence 3 243 18. and seventh term is Given a geometric sequence whose third term 4 64 Find the fifth term of the sequence.
Find the eigenvalues and eigenvectors. | 1 دهان
Find the microscopic states in these
Use the binomial formula to find the coefficient of the z^y' term in the expansion of (2z+y). E $ ?
Find dimension of the subspace spanned by and / 0 1 ООО
(2) Consider the following function: (a) Using a Taylor polynomial of degree three (i.e. up to the term z3, included) and centred at Zo = 1, evaluate V2 correct to the fifth significant digit. (b) Compare your result using Taylor's formula with the "true" numerical value v2 1.41421, accurate to the fifth significant digit. What is the value of the remainder R4 for the Taylor formula used in (a)? (c) How does the approximation used in (a) improve if we...
10. What is the relativity of simultaneity?