What is the coefficient of x' in the binomial expansion of (3x +5)*?
40. Use the Binomial Theorem to find the 3rd coefficient in the expansion of (x – 3)?.
(9) Using the Binomial Expansion, determine the coefficient of x-2 in: (.22 +, r 2)2n+1
PLEASE DO BOTH
(3) (5 pts) Find the expansion of (2x + y) using the binomial theorem? (4) (5 pts) What is the coefficient of z' in the expansion of (2 + x)?
Question A4 The coefficient of the x4 term in the expansion of $ + 3x) is 540. Show that p =
Use the binomial formula to find the coefficient of the
t^4x^21
Use the binomial formula to find the coefficient of the t*x21 term in the expansion of (2t-x)25 Х 5
(b) What is the radius of convergence of the Binomial Series expansion for (x + 1)a? (c) Use the Binomial Series to find the first four nonzero terms of the expansion of (x+1)2/3. (d) Use part (c) to approximate 1.022/3.
(b) What is the radius of convergence of the Binomial Series expansion for (x + 1)a? (c) Use the Binomial Series to find the first four nonzero terms of the expansion of (x+1)2/3. (d) Use part (c) to approximate 1.022/3.
Use the binomial formula to find the coefficient of the z^y' term in the expansion of (2z+y). E $ ?
4) (5 pts) What is the coefficient of z' in the expansion of (2+x)ll?
12. Use the binomial theorem to find the coefficient of xayh in the expansion of (5x2 +2y3)6, where a) a 6, b-9 b) a 2, b 15. c) a 3, b 12. d) a 12, b 0 e) a 8, b 9
0 (A) STATE THE BINOMIAL THEOREM AND use it TO DETERMINE THE COEFFICIENT OF xs in (3x+5)8 B) COMPLETE THE HOCKEY- STICK IDENTITY BELOW: EXPLAIN WHY THIS HOLDS using FACTS ABOUT PASCAL'S TRIANGLE.