3.
By binomial theorem we know
So
=.
=.
=.
Answer
PLEASE DO BOTH (3) (5 pts) Find the expansion of (2x + y) using the binomial...
Use the binomial formula to find the coefficient of the z^y' term in the expansion of (2z+y). E $ ?
40. Use the Binomial Theorem to find the 3rd coefficient in the expansion of (x – 3)?.
2,6,7 help Points: 3 225 23320 Score: (3 pts. (2 pts.] 2 pts. 1. Copy Theorem 17.8 and its proof from your textbook (see pages 93-94). Attempt to understand how all parts of the proof come together. C h rial Formula 2. A coin is tossed twelve times. How many sequences with 6 heads and 6 tails are possible? 3. (Page 89, Exercise 16.9) You wish to make a necklace with 20 different beads. In how many different ways can...
5. For the system, 4x + y + 2z = 1 2x + 3y + 4z = -5 x – y +3z = 3 Find the rank of the coefficient matrix by calculating the determinant. Use Cramer's theorem to find the solution of this system. (10 points) 6. Find the inverse of the following matrix using Gauss-Jordan method. Verify your result by computing the inverse using the method of determinants. (10 points) 1 2 4 2 4 2 1] 1...
1. Find Derivative: y=2x^3 ln(2x^3+7) a. y' = 36x^4 ÷ 2x^3+7 b. y'=12x^5 ÷ 2x^3+7 - 6x^2 ln (2x^3+7) c. y' = -36x^4 ÷ 2x^3 +7 d. y'=12x^5 ÷ 2x^3+7 + 6x^2 ln (2x^3+7) e. y'=2x^3 ÷ 2x^3+7 - 6x^2 ln (2x^3+7) f. 2x^3 ÷ 2x^3+7 + 6x^2 ln (2x^3+7) 2. Find exact value of the expression. Sin(arctan(x/4)) a. √16-x^2 ÷ x. b. x ÷√16-x^2. c. undefined. d. √16+x^2 ÷ x. e. 4 ÷ √16-x^2 f.none
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
What is the coefficient of x' in the binomial expansion of (3x +5)*?
4) (5 pts) What is the coefficient of z' in the expansion of (2+x)ll?
Problem 4 (20 PTS) For the given function: 2(,y) = re (1) (8 PTS) Determine 2x , zy, Zry, and Zyz. (2) (4 PTS) State whether the conclusion of Clairaut's theorem holds for z(x, y) and explain your answer. (3) (8 PTS) Determine and write down the equation of the tangent plane to the surface : at the point P(1,0,1). Give the equation in standard form, i.e. in the form Ax+By+C2 = D.
Can you help me? This is calculus 3. Use Lagrange multipliers to find both the maximum and minimum values of f(z, y, z) = 2x + y-2z on the sphere r2 + y2 + z2-4. Use Lagrange multipliers to find both the maximum and minimum values of f(z, y, z) = 2x + y-2z on the sphere r2 + y2 + z2-4.