th term in the exp ansion of x 20, then r is?

Q: B) Let f:R - R be defined by. 3 if x rational number. f(x) = if x irrational number !3! Show that f…

A:

Q: (e) Argue that E-o G) p/(1-p)"-l = 1, () p/(1-p)"- = 1, for any 0sps 1. %3D

A: Part e: Given (a+b)n=∑j=0nnjajbn-j  ---- (1) In view of (1)   ∑j=0nnjpj(1-p)n-j  = { p +(1 - p)}n  =…

Q: Determine all values of x so that det(A) = 0, where A =

A: Given: The matrix A is x12x. Calculation: The determinant of the matrix x12x can be obtained as,…

Q: = 1+ x+x?. . Show that ifx is se smail that x and higher powers can be neglected, then:

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

Q: W: SKetch the following functi'on -y= x2-2X-3 2- y = 2 x3-3x? %3D 2- y = X3 -3x +1 %3D

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

Q: QI (4) Idemtify and the domain range for the folowing finctions: i fu,v)=\usinv i f(p49)= -

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Q1

A: We use definition of Riemann Stieltjes integral.

Q: (a) Suppose that f is differentiable on R and has two roots.Show that f' has at least one root.(b)…

A:

Q: )(2n) for conplex number sequance show that if lm En=1 then 3no fN such that for for Hn 7 no o Znto.…

A:

Q: Use descent to find x, y such that x2 + y? = 881 starting with 84² + 89² = 17 · 881.

A:

Q: A fX-Y where X,Y e Z* , and 0s<X <23 and, 0<Y<59, X is hour of clock and Y is minute of digital…

A: Yes. f is well defined because we can measure the every numerical value of the function and can…

Q: A) Let f: Z→ N as follows: 2n – 1 for n > 0, - f(n) = -2n for n < 0. Show that f is a bijection.…

A: Bijective function

Q: Q: Prove ha中 Lim x" an %3D

A: we have to prove that the following

Q: For f(x) = 3x + 2x, find the number c in (-2, 2) guaranteed by Rolle's Theorem. (Use symbolic…

A: Here given function  fx=3x4+2x2 it is a polynomial function thus it is continuous on [-2, 2] and…

Q: For f(x) = 5x - 6, find the number c in (-2, 2) guaranteed by Rolle's Theorem. %3D (Use symbolic…

A: The objective is to find the number c in interval (-2, 2) using satisfying the Rolle's theorem, for…

Q: By means of Lagrange interpolation foomula, prove that 0.3 | -3 where (*)R = *R %3D

A: Given :- By means of Lagrange interpolation formula, y1 = y3 - 0.3 y5 - y-3 + 0.2y-3 - y-5 where yx…

Q: Use metaphor/layman's term to describe that Q is dense in R

A:

Q: Golve for x. 120° ATHquide.com A.

A: Solution: The objective is to find the value of x

Q: Q3/ By using definition, proof that cot x = - csc² x. xp

A:

Q: Given that f(2+ x) = The first N 499 terms are needed to estimate f(1) with truncation error < 103.…

A:

Q: Determine if it is exact then dölve it whether the given eayuation is exact (2x3

A: Given: 2x3-xy2-2y+3dx-x2y+2xdy=0

Q: Let f(x)=3/1+7 Use the result tom (al to - for 31011. Est umate the err computing the remainder a…

A:

Q: Extent of the Fun ction y= 2 sgn (X+2)

A: The signum function is the real valued function defined for real x as follows sgn(x) = +1,  if…

Q: Let a and b be positive real numbers. Evaluate lim (ax – Vax – bx) in terms of a and b.

A: To evaluate limx→∞ax-a2x2-bx where a and b are positive real number

Q: Find the domain: f(x) = In(3 – x).

A: A function is a relation which maps each element in its domain to exactly one element in its range.…

Q: Q1: Discuss the continuity of 3 - r |r – 3| f(r) = at r = 0

A: Given the function Before start discussing the continuity we need to discuss the absolute value…

Q: If ACX,find A' for(X.I)

A:

Q: EX8-HiW)lot X Xa G x+B) and r92=X++X2 Show that yz indep? X十メ2

A:

Q: nd the supremum and infimum of the set D defined by D:= :neN

A:

Q: (-1)" n (k) {n+ (m) {r E Q : r² < 4} (0) {x E R: x < 0} :n e N} n

A: Note: Our guidelines we are supposed to answer only three subpart . Kindly repost other subpart as…

Q: Gven that Pe3 -3 3 f On Compore

A: 3. Given that, P=52337-1, Q=5-31237. (i) Obtain the value of PQ as follows.…

Q: test the conver gehre and dvelyence n coscnt)

A:

Q: formela for the fun thn yoga) Con súto of two line 2) Write cmula whose as in fguve the f Mawing : 6…

A:

Q: Find te Turer saies onsion of the periodie fun cdon when definition of on eried are -2<tく - 5) 6くt…

A:

Q: Using R, use antithetic variables to estimate the following: In(1+ x2) dt x2

A:

Q: ow that the equation 3sin (2x) =7x+5 has exactly one real root.

A: Given:3sin2x=7x+5

Q: the definition, find th tive of f(z) = 3 z4-6 z²

A:

Q: Homework Qt Prove that Hmin EIN such that -) ncm usng using the Principle of inducten

A:

Q: ons in the interval [0°,360°). Use an algebraic method.

A:

Q: Find x so that the distance between (−4, 3) and (x, 1) is squareroot of 29. (Enter your answers as a…

A: We know that,The distance between two points (x1,y1) and (x2, y2) is given byD= x2-x12+(y2-y1)2

Q: Write any formulas that can be derived using S- and I-rules. If nothing follows, write "nil". ((Z •…

A: Given,Z·~P⊃~FF

Q: Use the IVT to find an interval of length 0.3 that contains a root of In r = 3 – 2r.

A:

Q: ar + by a) Show that if f(x,y) = where a, b, c, and d are real numbers with cr + dy ad – bc = 0,…

A: Given fx,y=ax+bycx+dy. We need to show that for ad-bc=0, fx=0,fy=0 for all x and y.

Q: determine th -7n 3n 6n + 1 n=D1 lim Vla %3D

A: The correct option is option 2 “diverges”. Find the an term from the series.

Q: Find if the following is homothetic: F (x,y) = x²y +y3 %3D 1. Yes, it is homothetic. 2. No, it is…

A: topic -  homogenous funtion

Q: Solve for x. (Enter your answers as a comma-separated list.) In(x) + In(x + 8) = 0 X =

A:

Q: Find all solutims in 15e interval T or 27) bele 2c05メー3c0sX = -

A: Given: Find all solutions in the interval [0, 2π). The equation is:…

Q: Let z(x, y) = 6 In( – 17y? + 17x). Indicate the range of z using interval notation. Note: To answer…

A: Given that zx,y=6ln-17y2+17x The objective is to find the range and indicate the range of z using…

Q: 3 Q7- Let fw=ex-y, Find a fun ction y =gcW So that f. 9) (x) = X+ 2 .

A: Given f(x)=2x3-4 To find a function y = g(x) such that  (fog)(x)=x+2

Q: 50. If f'(x) = In(x²) and f(5) = 8, then f(3) %3D %3D

A: Given : f'x = lnx2f5 = 8