Write the expansion of each expression using sigma notation. (5m – ón)* 24 (Sm)*-(-ón)" Y-0 24 (Sm)*-"(-6n)" Y-0| 24 Er (Sm) * -"(-ón)" Σ 24 24 Σ (Sm) (-6n)*-* Y-0

Q: 10 3 Consider the expansion of

A: Given that The aim is to find the coefficient of in So, to find r for the general term,

Q: Find the specified terms in each the following expansions: • (r-.5th term • (x+) 4th term • (5x -…

A: In the question it is asked to calculate the value of terms indicated for the expansions given in…

Q: (-2п + 5)ал-1(—1) an(-1) =

A: The symbol ∏ is used to represent the product form.  Example:                  ∏n=15 n =1×2×3×4×5

Q: 5(x+ 11) (x+11)(x+ 12) O 5 x**-11, x* -12 5 x+ 12 X* -11 O simplified form

A: = 5(x+11)/(x+11)(x+12)   Value of x other than x=-11. making (x+11) = c = 5c/c(x+12) =5/(x+12);…

Q: write the expansion of : (3a + 2b)5,(4z - w)6, -5* X.

A: The formula of expansion is:…

Q: (n + )an-1(5) 6n(n + ) а, (1/3) -

A: In the given question we have to write infinite product expression of the given sequencegiven by…

Q: limn0 In(2n-3) -) is 8. n+5 Select one: 2 non of them

A:

Q: A biologist is measuring growth of a rabbit population in a forest. She expects the number of…

A:

Q: Sp-3 2x If there are 23 terms in the expansion of ху then the value of p is

A: We will find out the required value of p.

Q: The commutator is: Find the commutators if: (a) A = D² and  = x²* (b) A = D and B = x * D [A, B] =…

A: note : As per the standard notations of operator theory, we will treat the operator "D" as a…

Q: How many strings of 1our decimal digits have all four digits that are different? How many strings of…

A:

Q: Find the term containing x18 in the binomial expansion of (x³ – y)15,

A: Find the term containing x18 in the binomial expansion of x3-y15. Formula: Binomial expansion of…

Q: Use the binomial theorem to expand the following expression. (u – v)5 By the binomial theorem with 5…

A: Given expression (u-v)5 Using binomial theorem,

Q: 1. f(x)= Vx3 + 2x² + 3 2. f(x) = (6x – 7)(2x + 3)

A: To find the second derivatives of the given functions.

Q: x + 6 Let n(x) = x + 12 and p(x) %3D a. Write the formula defining n o p. n(p(x)) = [ b. Write the…

A:

Q: Find the quotient. x - 3x 4x – 16" x - 7x+ 12 -5x 4 -3.x+ 3 x+ 4 O 5 4.x * 3 x 4 O 4 3. x * 0, x *…

A: Given that: -5x4x-16÷x2-3xx2-7x+12 Now, x2-7x+12=x2-4x-3x+12=xx-4-3x-4=x-4x-3. Therefore,…

Q: (x^5+3)^14 write the sum of te first three term o fthe binomial expansion, expressing the result in…

A:

Q: Write the expansion of the expression.     #1) (x + 2)^4   # 2 ) (y -2) ^4    #3 )  (2X - Y)^5…

A:

Q: S- xp

A: Given : ∫x2x2-a232 dx To find : Evaluate the given integral.

Q: Write the expansion of each expression using sigma notation. 19 (-Sm – 7n)" 19 19-7 (-Sm)"(-7n) Y-0…

A:

Q: Write the expansion of each expression using sigma notation. 19 " (-5m - 7n) Я 19 (-Sm)'(-7n) 19-7…

A:

Q: 21 In the expansion of (x +y), write the value of the exponent k in the term that containsr2k--4,,3k

A: In the expansion x+y21, we have to write the value of the exponent k in the term that contains…

Q: : (3z - 16) + (2z - z+ 4) : (z + 3z) + (x? - 5z - 12) : (4z? – 7z + 18) – (2z² - 5x + 30) : (7z + 4)…

A:

Q: 1 2/7 * (-2 2/3) / 1 3/7 + 1 1/3

A: We will reduce the fractions of possible and then perform the required addition, multiplication and…

Q: k(z - a)*-1 +0((k +1)(z - a)*) (2 - a)k + O((z - a)k+1)

A: =z-akkz-a-1+Ok+1z-ak1+Oz-a

Q: Which expression is equivalent to 4x-4x2 +x- 1? ㅇ (4z2-1) (z- 1) O (2x² + 1)(2æ – 1)(x – 1) O (4교2 +…

A: The objective is to find the correct expression.

Q: 7 The coefficient of x³ in the expansion of | x+ 210 21 42 105

A:

Q: True or False. Briefly explain why.  {−13, −6, −3, 1, 10} is a complete residue system modulo 5.

A:

Q: Simplify. (5n + 4n² – 7) – (8n – 6+ 7n)

A: subtract the polynomials

Q: ap Uplift Education S 4/5/21 Edulastic Set UpI Schoology Question 3/9 > NEXT A BOOKMARK If the…

A:

Q: An = 5" recursively. Include initial condition. 1 An = -ап-1, ɑj = 0 5 An : 5ар-1, ај —D 0 = 0 1 An…

A: an=5n

Q: (c) How many strings of four decimal digits have exactly three digits that are 9? (d) Write down the…

A: We have to find the coefficient.