a. Coefficient of x1/y21 in the expansion of (3x-2y)38 b. Coefficient of x23y41 in the expansion of (4y+3x)65

Q: 20. What is the value of the 4th term of the expansion of (y + 2z)°? 16y"z 448y 23 25628

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Q: Expand  (x − 4y)^5 by binominal theorem.

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Q: What is the coefficient of the x^7y^4 in the expansion of (x+y)^11

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Q: 2. Determine the zeros and poles of the recursive equation below. y[n] = x[n − 1] − 2x[n - 2] + 2x[n…

A: Solution : Z transform of delayed function: Ƶ(x(n-a))=z-aX(z) Given equation is,…

Q: Evaluate fff. 5y²dV where E is the reqion below x + 3y + 6z = 9 in E the first octant.

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Q: 1. Find the indicted term: an = (3n+ 2)²; a6

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Q: Find the fourth term in the expansion of (3x + 2y)7.

A: the given expression is (3x+2y)7.

Q: xx+24=5x² fpyonbouy of anyos

A: We have xx+24≤5x2 Consider:…

Q: The coefficient of x²y4z5 in the expansion of (3x+y+z)¹¹ is

A: The given expression is: (3x + y + z)11 To find: The coefficient of x2y4z5 in the expansion of (3x +…

Q: Find the 5th term in the expansion of x3 7 2y2) x2

A: The expression is  x3-2y2x27

Q: Find the fifth term in the expansion (3x + 4y)8 O A 840x*y4. O B. 840x5y3. OC 3360x³y5. O…

A: We will use the formula given below to answer this question.

Q: Find the first three terms in the expansion. 1) (x+3y) 2) (x-2)

A: From the Binomial expansion, (a+b)n=C0nan+C1nan-1b+C2nan-2b2+⋯Cnnbn (1) If the expression is:…

Q: y + 5xy + y = 6 In x + 4 where y (1) = -1, y (1) = 1 -1 +x - + 20 ... 7x5 -1+ 주 - (x-1)4 + 12 (x-1)7…

A: Taylor series of a function f(x) about x=a is given as following:…

Q: In the expansion of (x + y)16 which term has the same coefficient as x14y2? O a. x12,4 Oc x3y14 O d.…

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Q: . Given P(x) =a( b – x) ( x+ c) ( dx+ 1) , where a, b,c and d are Re Z*. If the first term of the…

A: Given P(x)=a(b-x)(x+c)(dx+1) 1st term of expansion=-8x3 P(-3)=0

Q: Find the term indicated in the expansion: (x + 2y)10; the term containing y6

A: we have to find the term indicated in the expansion: (x + 2y)10; the term containing y6

Q: In the expansion of (x + y)14 which term has the highest coefficient ? O a. x10y4 O b.x7y7 Oc x14 d.…

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Q: What is the coefficient of the term x^3y^2 expansion of (3x - y2)4?

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Q: (7) 13. Find two positive numbers, z and y, such that their product is 500, and z +3y is as small as…

A: Topic: calculus

Q: The generating function of a_{n+1}=8a_{n}+4n*, where a,=3 is a. Σ2x)^k+Σ (4x) ^{k Ο b. Σ( 2x) ^{k}+…

A: To find the generating function of an+1=8an+4n+1 First multiplying the relation by xn and taking…

Q: z = ecos(2x)

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Q: 3. Determine the 4th term of (3x+ 2y3 6 using The Binomial Theorem.

A: We will find the 4th term

Q: Find the first three terms from the expansion 1. (x+3y)^9 2. (x^2-5)^5

A: use the binomial theorem

Q: What is the 2nd term in the expansion of (3z-4y)9

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Q: @31 Find the nverse of the functions 1) fex) = 2x-1 2メ+) 2) fa)

A: The given functions are a fx=2x-1bfx=e2x+1We need to find the inverse of the above functions.

Q: To the right of z = 0.29 and to the left of z = -1

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Q: Find the term indicated in the expansion (x + 2y)10; the term containing y6.

A: The given expression is x+2y10 To find term containing y6

Q: What is the coefficient of x'y5 in the expansion of (1x + 3y)18? 3,15

A: Use formula of binomial expansion to solve the question.

Q: The 4th term in the expansion of (2x -3x 10 is 10 C4 (2a) (-3x)³ O 10 C4 (2a2) (-32)4 10 C (2)…

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Q: Find a generating function for the number of integer solutions of 2x +3y+ 7z =r with (a) x, y, z > 0…

A: Here, we need to find a generating function for the number of integer solutions of 2x+3y+7z=r  with…

Q: If a_1=9a1​=9 and a_n=4a_{n-1}an​=4an−1​ then find the value of a_5a5

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Q: What is the coefficient of x5y7 in the expansion of (x+y)12?

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Q: 3)What is the x term in the Taylor expansion for xe* when a = 0? A)F B)F C)P D ) 1 when a = =1 ?…

A: We will find out the required value.

Q: What is the coefficient of x3y2x3y2 in the expansion of (2x−3y)5(2x−3y)5?

A: From the binomial expansion of (2x-3y)^5, we get the coefficient of x^3.y^2.

Q: What is the coefficient of the term containing x^2*y^3 in the expansion of (2x-3y)^5?

A: In order to find the coefficient use binomial theorem, which is given below.

Q: Determine the coefficient of the x'y term in the expansion of (2a + 3y) 2.

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Q: Show by two methods one algebraic and one combinatorial that: ΣΗ (E) (-) = (m*") -k=0

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Q: -2x xp- (1-x)' 7. Evaluate A. +6x-n(1-x)+-(1-x)* +C C. '+6x + n(1-x)' + (1-x)*+c D. x+6x + In(1-x)"…

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Q: find the coefficient of t8 in expansion of 2t(3+t)20

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Q: Find the coefficient of x' in the expansion of: (а) (1 — г) -4г3 (c) x (1+ x* (b) (1 — г)-2т8 (d)…

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Q: 1) Write all the following as expansions: > 0-2 > V26 > V35 > (0.99)-4 > V(4-2y)2 y 2х-1 A A

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Q: Find the coefficient of xy° in the expansion of (x + y)³ 8

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Q: 8.8.18. Use a known Taylor polynomial with n nonzero terms to estimate the value of the integral. n-…

A: Taylor series expansion is given on the White board. Since n = 4 , the approximation will be done…

Q: 71 Compute Σ (5k2 + k - 3) i=1

A: Solved below

Q: 2. In the expansion of (2x + 3y)(4y – 3x) the xy term is : А. — ху В. + xy С. 8ху D. -9ху

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Q: Find the constant term in the expansion of (2x + 1/x^3)^8

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Q: Find the coefficient of x°y° in the expansion of (2x – y)³. -

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Q: Given that in the expansion of V1 + 2ax V1+ 3bx the coefficient of x is 2, and the coefficient of x²…

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Q: 2 O Expand Pn = 2x +3x +) in Term of P.f,.

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