A system is described by the following differential equation: d'y d'y dy d³x d²x dx dt³ di² dt dt³ dt² dt +35 +5 +y= +4 +6 + 8x Find the expression for the transfer function of the system, Y(s) X(s).

Q: What is the coefficient of x²wa³b in the expansion of (x+y+w+a+b)??

A: To determine the coefficient of x2wa3b in the expansion of x+y+w+a+b7.

Q: factors of 24 that add up to 10

A: factors of 24 that add up to 10

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A: Multinomial expansion :  (X1 + X2 + X3 + ......Xr)n  We have to calculate no. of terms in this…

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Q: 12 Find the term of (a – 3b)" that has b in it.

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A: I have solved Algebraically

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A: Find the term indicated in the expansion (x + 2y)6; third term.

Q: Find the coefficient of x4 in the expansion of (2-3x)6

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Q: Use the binomial theorem (more than once) to expand (a+b+c)³.

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

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: 2. Use the Binomial Theorem to expand (3x - 2)6

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Q: How many terms are there in the expansion of (4.x + 7y)0.+ (4x- 7y)10 ?

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Q: 7. How many terms are there in the multinomial expansion of (x₁ + x₂ + ... .+x)"? ******..

A: We want to find the number of terms in the multinomial expansion of x1 + x2 + ... + xrn

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A: The given fraction number is,Here we can write,As we can see the number 4 can be canceled out.This…

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A: Given: 30 total M&Ms in that 10 red M&Ms.

Q: factors of 20 that add up to 9

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Q: coefficient of variaton for given populaion   5,8,9,11,15,16,17,19

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Q: What is the coefficient of a b³c² in the expansion of

A: In this question, we need to find the coefficient of a4b3c2.

Q: 42. The term that does not contain x in the expansion of 8x +

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Q: What is the 5th term in the expansion of (2x²y³ – ¹y)° O 14.25x7 y 20 15.75x10 y 19 15.05x¹0y17…

A: Given: 2x2y3-14y9=2x2y3-y49

Q: (3) Find the prime factorization b. 180

A:

Q: W 4. What is the value of the 4th term of the expansion (a + b)"? O a5 O 5a*b O 10a²63 10a b?

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Q: | (16 – 2*) dz =

A: To find : the value of ∫0216-x4dx   Using the formula ∫abxndx=1n+1bn+1-an+1

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A: Here we find Laplace inverse transform

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Q: Find the nth term of  (– 4 3 14 29 ) and (4, 5, 8, 13)

A: Sequence

Q: 8) Expand the following binomial expression: (x² - 3)4.

A: o expand the binomial expression (x² - 3)^4, we can use the binomial theorem which states that: (a +…