1.16. (a) If f and g are differentiable scalar functions, show that V(fg)=fVg+gVf.

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: How many terms are there in the multinomial expansion of (x₁ + x₂ + ...........+xr)n?

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

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

A:

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

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

Q: 7 2 3k+1= [A] k = 2

A: Consider the equation ∑n=273k+1=A We have to find the value of A Expand the summation of left hand…

Q: 3/8+5/24

A: The given expression is 3/8 + 5/24.Simplify the given expression as follows.

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

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Q: 4. Fill in the following contingency table with the number of observations that fall into each com-…

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Q: 6/9 +  5/18 + 1 3/6

A:

Q: Expand the expression for Mr Taylor.

A: The previous solution is incorrect. Please follow this one.

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: 18(9+7)+3

A: 18(9+7)+3

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?

A:

Q: 5. Find the coefficient of a¹¹b4 in the expansion of (a + b)¹5.

A: