(-1)" (2n – 1) If A = n € N}, then n find sup (A), max (A), inf (A), min (A)

Q: n E(-1)* k + k)"-1, n2 1. k=0

A: The given value of ∑k=0n-1knkkm=0. The main objective is to detemine the value of ∑k=0n-1knk2+kn-1.…

Q: Assume that the entire sample has 2 positive observations and 6 negatives observations.  Variable…

A: We have to calculate the Gini index for the reduction in the impurity and hence the formula is…

Q: 3. FIND THE ROOT OF fcx)= x*+ 3x? - 3メ -3 x°+ 3x?- 3×メ -3 USING SECANT METHOD メi=1 TEN DECIMAL…

A: consider the function f(x)=x3+3x2-3x-31st iteration :x0=1 and x1=2f(x0)=f(1)=-2 and…

Q: Q. 8 Verify that f(x) = x' – 36x satisfies the hypotheses of Mean-Value Theorem on the interval |-6,…

A: The function is given as , fx=x3-36x verify the hypotheses of mean value theorem on the interval…

Q: Determine whether each of these statements is true or false. Explain why. 0 ∈ ∅ ∅ ∈ {0} {0} ⊂ ∅ ∅ ⊂…

A: 1.   0 ∈ ∅ As ∅ is empty set so it can't contain any element. Hence 0 can belongs to ∅. Answer:…

Q: 3(x + 6) f(x) = (x + 6)(x – 4) Where are the critical numbers? (Separate multiple answers with…

A: The given function f(x)=3(x+6)(x+6)(x-4)

Q: PROVING 19. If z = x+y az show that x = 3z.

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

Q: 75. For a certain bowling league, a beginning bowler computes her handicap by taking 90% of the…

A: Given: a beginner bowler computes her handicap by taking 90% of the difference between 220 and her…

Q: a) What are the points you'll choose to find f(3.8) using cubic interpolation, and why? 51 of f12 91…

A: Follow the steps.

Q: 9(x – 4) + 4 (ӕ — 4)(ӕ — 2) - f(x) = - Where are the critical numbers? (Separate multiple answers…

A: follow next step

Q: Show that the multiplicity of (x-1) is 1.

A:

Q: 3- 2 GL 1- 7654 321 42345 67 -1- -3 723

A:

Q: 5. Find the domain off(z-In(e*-3). Then find f-1 and its domain.

A: f(x) = ln(ex-3)The function "ln" is defined for positive numbers only.Hence, x should be such that…

Q: We developed a model for the CA wine market. For this question, use this model:…

A: The model for CA wine market is given as v=1.31y+16.9 where v is value of CA wine market in billions…

Q: express     n-1 Σ((k^2)/n) k=1   in closed form.

A: The given question is related with closed form of finite sum. Given that,…

Q: Explain why the function is discontinuous at the given number a. (Select all that apply.) x2 - 4x if…

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: 1. f (x) 3D 5х + 1 2. f(x) 3 2х + 3x2 3. f(x) = Vx + Vx³

A: Find f'(x) : 1.               f(x)  =  5x + 1                   f'(x)  =  5x   2.…

Q: Find all critical points of the function g (0) = sin² (120). Express your answer in terms of . (Use…

A: This question is based on general solution of Sine function.

Q: Fibonacci numbers F1, F2, F3, ... are defined by the rule: F = F2 =1 and F = Fk-2 + Fx-1 for k > 2.…

A:

Q: Find the linearization at x = a. 1 f(x) = a = 5 (Express numbers in exact form. Use symbolic…

A: Given:Fx =1x3  ,a=5To find:Linearization at x=a of FxMethod:Lx ≈ fa+ Fι a x-a

Q: Find the sum of 3" for n = 0 to n = o%: %3D If the infinite series is Convergent; If it is…

A: We need to find the sum of ∑n=0∞en3n-1. Here,…

Q: 4- 3. m22 = %3D 2. 47° m23 = 5. 52° m24 = m25 = irectionci I Find th

A:

Q: Find all critical numbers in the function f(x) = 7 + 3^1/3 X - 2sinX on the interval 0 < x < 2π…

A: Given,              f(x) =7 + 3 x - 2 sin(x)      ,         0 &lt; x &lt; 2π

Q: Questione Let R=7LO7L. Show that the palynomials (,0)x in R[x] has in finitely many roots.

A:

Q: (2) Prove that (1+x)" > 1+nx for all x > 0 and n > 1.

A:

Q: 3. Show how you can get the generating function for the triangular numbers in three different ways:…

A:

Q: 2/5+5/2 2/5-5/2 Express in the form g +rvs where q,r and s are rational numbers.

A: Simply rationalize the given expression and simplifie.

Q: In an organization, Mr. Kabir Khan is working as a junior scientific officer his boss has given him…

A: Given fn+1=fn+3fn-1, f0=-1,f1=2 Then, f2=f1+3f0=2+3-1=-1 f3=f2+3f1=-1+32=5 f4=f3+3f2=5+3-1=2…

Q: 7 45 and fourth term of (3x -) 6. Find the product of expressed 2 as P.

A: The complete solutions are given below

Q: 2- Discrete dx" using polynomials with backward differencing in equisized grid. n is one before the…

A:

Q: Letf (x, z) = 3x² – 12x + 3z² – In(z). Find the value of x* and z* where a min/max will occur. x*=2,…

A:

Q: The Simple and General Power Rules both require that n ≠ -1. Why is this restriction necessary? What…

A: The simple and General power rule for integration is as follows: ∫xndx=xn+1n+1+C If n=-1, then the…

Q: function with real n=3. 3 and 5+5i are zeros: (1) 164

A: Let's find.

Q: a) ln n = O(n) b) ln n = O( sqrt(n) ) c) (ln n)^2 = O( sqrt(n) )

A: We know the following. Big O notation: We say that f(x)=O(g(x)) if there exists a positive real…

Q: Intro to proofs Given : AB=DC PROVE x=8 2x+5 =AB 5x-19= CD

A:

Q: Find the linearization at x = a. 1 f(x) = a = 9 (Express numbers in exact form. Use symbolic…

A:

Q: The expansion 1 + x + x² ... approximates (1 - x)1 if O x is not equal to 1 本 O absolute value of x…

A: The expansion 1+x+x2+.........approximtes 1-x-1

Q: (7- 2n)(n+ 3) 1- 2n 3n* – 11n +9 V 9n + 4n + 1

A:

Q: Given: f(n) = 3n^3 + n^2 + 2 What is the O(n) of f(n) What are two constants c and k that prove…

A: Given: fn=3n3+n2+2 To find the On of fn and the constants c and k

Q: Use the Intermediate Value Theorem to show that there is a root of the given equation in the…

A:

Q: x4. Prove (1-1) (1-1)… (1-급) n+1 for all n 2 2. 2n 22 32 X5 From the homework and examples vou have…

A:

Q: (*;)-()0)

A:

Q: Approxima using the (Use symbolic notation and fractions where needed.) approximation based on…

A: Given: x14 at a=16

Q: 2. Taylor notes the odometer on their car reads 49,996 at the beginning of their day. When they…

A: Theorem of function based on continuous. Odometer is continuous reading of distance.

Q: Prove that (-1+i3) + (-1 - if3)" has either the value 271 er the value -2" if n is ary n+1 Interer…

A:

Q: A and B can do a piece of work in 18 days. B and C can do it in 24 days. A and C can do it n 36 days…

A:

Q: (1)Let q E R. Suppose that q > 0. Prove that 1+ ng < (1+q)" for all n E N.

A:

Q: Use the Intermediate Value Theorem to show that there is a root of the given equation in the…

A:

Q: Vone of all. 2s (금+ In4).

A: Derivative: y=x2x+1We know,ddx(ax)=axlna

Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.