n(x) X xp- x81+ In x)

Q: Calculate the limit.

A:

Q: Show that √2 + √3 is irrational.

A:

Q: What is the value of f(2) for the polynomial x ^ 3 + 3x ^ 2 - x + 1 ? What does this mean about the…

A: Here, fx=x3+3x2-x+1

Q: In 9 - x= 16, how would you come to a conclusion if x can't be considered negative?

A: Consider the given equation

Q: Solve the diffeventialequatio n : %3D

A: We have the differential equation y'=4yx . We need to solve this differential equation and find out…

Q: 6. A. Show that 81 – x²dx : 81n %3| 4

A: According to company rule we can answer only first question and rest can be reposted

Q: Use the elimination method to find all soluti { % 4x - Зу 3-24 -7x + 6y = { By = 45

A: Given,             The system of equations are                4x-3y=-24                -7x+6y=45

Q: What is the coefficient of x4 in the expansion of (x + 1)14 + x3 (x + 2)15?

A: The binomial expansion is given by,

Q: Find the Term that free from x of the expansion (x2 +10

A: Given expansion(x2+(2/x3))10 a=x2 and b=2/x3, n=10 Formula  General term formula is, Tr+1= nCr…

Q: 3. Evaluate th 2x2- x + x3 + 4x

A:

Q: - In(x - 2) + 3, X

A: answer is in next step

Q: In(x-1) 33 Differentiate with respect to x. 2x + 3

A:

Q: 5 x²ỹ+ 3xỹ + 5y = In (x)

A: Solution

Q: How do I find f prime of 3 if f(x)=13x/4+x2

A: Given,           fx=13x4+x2

Q: ve that if x5 – 3x4 + 2x

A: Introduction: In an equation, the two expressions are assumed to be equal, as indicated by the…

Q: 3 < 2. Solve for x in 2 – x

A:

Q: 8. Find y'ifys34-7x+2)+4%-2

A: Differentiation

Q: Sx1-x₂ 76280- - 8722 10 10(10-1) -+59683- 7712 10 =

A: Solution-: We want to find value of Sx¯1-x¯2=?

Q: 10) у - еx3 In x

A:

Q: Explain why 3-1 does not exist in Z24.

A: Proposition: If is element in a ring then cannot be both zero divisor and unit. Given:

Q: What is the coefficient of the term containing x^4 in the expansion (x - (2/x^2)^10?

A:

Q: Example 4. Differentiate with respect to 'x': 2 - 3x + 4 - X + x + 2

A:

Q: Show that whether x5 + 10x3 + x + 1 is O(x4) or not?

A:

Q: Which member of binomial expansion of (2x^3 + x^-1)^10 contains x^6 ?

A:

Q: Prove x²(x-y)² =x² -y²

A: Substitute x=y in the given equation Then x2(x-y)2=0 ....... (1) and x2-y2=0 ....... (2)

Q: Show that x2 + 9 is prime.

A: To show x2 + 9 is prime.

Q: What is the sum of all critical numbers of 8 (x) =x*– 14x2+ 24x +27

A:

Q: Without expanding completely, find the indicated term(s) in the expansion of the expression.

A: The Binomial Theorem is the method of expanding an expression which has been raised to any finite…

Q: Show that x + 5[x²] is 0(x²).

A: This is a problem of complexity.

Q: divide x – 6x² – 9 by x + 6 | 1089 O x³ + 6x² + 42x + 180 + x+6 -x3 – - 6x² + 30x – 180 10 X- 1071 O…

A:

Q: z = -2 verify that |7 - 2| < |||| - |||

A: Given that y¯=−310 and z¯=1−21. We have to verify y¯⋅z¯≤y¯⋅z¯. Now y¯⋅z¯=−310⋅1−21=−5 Hence, y¯⋅z¯=5…

Q: (b) lim In(5x2 +3) – In(2r² + 1). -

A: Given :

Q: 名7 Find fen(x)if fx)=ュ-ズ 2-X

A:

Q: What is the coefficient of (x^8)(y^12) in the expansion of (y+x)^20

A:

Q: So what's the final value of x1 x2 x3 and x4? indivually

A: Answer :  No value  the system of equations does not converge to any value. so there doesn't exist…

Q: Prove that if 8x-5=-2x-15 then -x=1

A:

Q: Prove that x -2x+2>0 for value of x.

A:

Q: Show that N-, (x) = (-1)"N„(x). Nó(x) = -N1(x). with open steps and explained pls

A:

Q: Find the coefficient of x9 in (2-x)19.

A:

Q: Express in partial fractions. 3-х (a) (x² +3)(x+3) x+7x+3 (b) x'(x+3)

A: To decompose the given fractions into partial fractions.

Q: Give 7 examples with solution of General rules of Differentation

A:

Q: Which term of the expansion of (x + 7)° contains x° Term number contains x°.

A:

Q: What is the coefficient of x° in the expansion of (x + 1)14 + x³(x + 2)15?

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: Use different ways to show all possible combination in this situations

A: Here use different ways of representing a total possibilities Here use listing , table, and tree and…

Q: What is the coefficient of x° in the expansion of (x + 1)14 + x² (x – 1)13?

A:

Q: What is the largest coefficient in the expansion of (x +1)8?

A: Answer is mentioned below

Q: N is a 2 digit no with non 0 digits. When n is added to thrice its reverse,the result is 145  If…

A: givenN is a two digit number with non-zero digitlet, 'pq' be the digits in the number N.where 'p' is…

Q: how did they get 9x^2 from (x^4)/(5x^2)mod11 ?

A: Use of z11[x],

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.