Use the Binomial Theorem to expand the binomial (3x – 5y)*. 81x* + 625y* b. 81x* – 540x'y + 1350x²y² – 1500xry³ + 81x* +540x³y + 1350x²y² + 1500xy³ + 625y* d. 81r* – 625y* а. - 625y* | с. 4 -

Q: An unfair die is with Pr[3] = 10% rolled 100 times. Using the binomial approximation, estimate Pr[8…

A: Given that, n =100, p =0.10 The mean and standard deviation are, Check the conditions: Both the…

Q: 2. Find the exact value of the term containing x" in the expansion of (x-3y)" using the Binomial…

A:

Q: The Taylor series expansion of 2 |z| < 1 is (solve) Z-2¹ −(¹ + ² + ² + ² …..) X Option 2 O…

A:

Q: If the sequence {gm} is orthonormal on [a,b] with weight function w(x), then the sequence {Vw (x)…

A:

Q: Evaluate the Taylor Series for f(x) = x³ - 10x² +6 at x = 3.

A:

Q: 2. Use the Binomial Theorem for the expansion of the function as a power series f(x) = {1+3x²

A: Given  f(x)=1+3x23

Q: Find a Power Series Representation for 3-x2 Show all of your woi

A: We have to find the power series

Q: Suppose that the number of corona virus in a governate increase 3 times in every hour. a. Set up a…

A: Let an be the number of virus in the governate after n hours. Hence, the number of virus in the…

Q: Obtain the Taylor series

A: In this question, we expand the function f(z) by using the Taylor series f(z)=ez about z=1.

Q: Expand sec(x) by Maclaurin series.

A: Maclaurin's series of any function f(x) is given as,…

Q: Expand in binomial theorem (2x-y)7

A:

Q: Compute [5]-l© [12] in Z17.

A: The solution is 16. (Detail is given in the handwritten notes.)

Q: Use the Master theorem to give an asymptotically tight solution to the recurrence below. If it does…

A:

Q: Use divergence test to show that the series E-1(1 +-) 2%3D1

A:

Q: Find the term containing x in the Expansion of (x +3 y)*

A:

Q: Find the taylor series for f(x) = -4ex about x=5

A: The Taylor series of a function f(x) is given by  f(x)=∑n=0∞fn(a)n!(x-a)n Here, the given function…

Q: Find the coefficient of x* in the power series 4 3x² +2x expansion of x² +2)(x-3)

A:

Q: Find the Taylor series generated by f(x) = 9x³ + 2x² + 6x – 5 at x = 4. %3D - series is

A:

Q: Suppose that 3 out of every 5 drivers come to a complete stop at an intersection having flashing red…

A: Given - P( coming to a stop ) , p= 3/5 = 0.6 Number of trials, n = 15 Let Y be the count of these…

Q: () Expand (4x- 2) by using Maclaurin's series. Ans = -8+48x-96x² +64x3 %3D

A: Dear learner,.As per our guidelines, we can provide the solution for first one only. Kindly post…

Q: 1. Find the 4th term of y (*- 2y*) using the Binomial Theorem.

A: The solution are next step

Q: Consider the given ODE. You should be able to generate two Power Series Solutions for it. However,…

A:

Q: Use the binomial theorem to compute the following. (x + 2)³

A:

Q: Find Taylor Series: f(x) = In X at a = 2 %3D

A:

Q: 16. Find the term containing x18 in the binomial expansion of (x2- y)15.

A: A binomial expression is an expression of the form a+bn. This binomial expression can be expanded…

Q: Consider a population that grows according to the recursive rule Pn Pn-1+ 90, with initial…

A:

Q: How many paths are there from point (0,0) to point (50,50) on the two-dimensional plane if each step…

A: Look at the following diagram: (Note: This is just for illustration and NOT drawn to the actual…

Q: 2x2/(1-2x2)2

A:

Q: Find the recursion for a population that doubles in size every unit of time and that has 14…

A:

Q: Let X,X2 uith Parameters ----Kn bears from binomial distr'bli- n ando

A: From the given information, X1,X2,.....Xn from the Binomial distribution with parameters n and θ.…

Q: Find the or series Of x - 2x² + 3x - 4 Tray lor Series exanron about x = 2 expansion about x= 2 ed…

A:

Q: The Chebyshev polynomials of the first kind can be otained from the recurrence relation, Tn+1(x) =…

A: We will use the following trigonametric definition of the Chebyshev polynomials : Tn(x) = cos(n…

Q: What is the coefficient of in the expansion of

A: Give the coefficient of x12x24x32x4 in the expansion of x1-x2-3x3+2x49

Q: Question 22

A:

Q: Use the Binomial theorem to find the constant term in the expansion (x -

A: To use the Binomial theorem to find the constant term in the expansion of x−1x8.

Q: The Taylor series of x5 - 6x2 + x – 7 at x = 1 is: -8 + 7(x – 1)? + 10(x – 1)³ +5(x – 1)* + (x – 1)5…

A: Given:        Taylor series for x5-6x2+x-7            at x=1 Taylor series is given by…

Q: Find the expansion of (x + y)4 using Binomial Theorem.

A:

Q: The first four terms in the Maclaurin series expansion or f(x) = ln( (1+2x) / (1+3x) ) are Select…

A: Given: f(x)=ln1+2x1+3x To find the first four terms of Maclaurin series

Q: Find the ordinary generating function for the sequence 0,0,0,0,1,1,1...(Hint: it is not a…

A: We need to find an ordinary generating function. The sequence is 0,0,0,0,1,1,1,.... Consider:…

Q: Determine the taylor series f(x)=3x^2-8x about x=2; and n=3

A:

Q: Find the binomial expansion of √(x² +1-y²) up to the fifth term.

A: As per the question we are given a bivariate function in variables x, y and we have to find its…

Q: 3. Use the binomial theorem to find the coefficient of x° in (x+2)3 2. Use the L theorem to find the…

A:

Q: 10 Use Binomial theorem to expand 2x .Which member contains the power x' ?

A:

Q: Convert the first three terms of the Tay lor Series expansions For coshcx) in to che byshev…

A:

Q: 3. Determine the 4th term V2m) using the Binomial Theorem.

A: To find: The 4th term of the expression 1m2-2m5 using the binomial theorem. Formula used: The rth…

Q: How many paths are there from point (0,0) to point (50,50) on the two-dimensional plane if each step…

A: Look at the following diagram: (Note: This is just for illustration and NOT drawn to the actual…

Q: A model for the number of lobsters caught per year is based on the assumption that the number of…

A:

Q: Suppose that the number of corona virus in a governate increase 2 times in every hour. a. Set up a…

A: ANSWER :

Q: Use series method to compute dr. 1+2r3

A: We have the given integral is ∫dx1+2x3dx Now, we write using binomial expansion  11+2x3=(1+2x3)-1…