Letf(x) be a polynomial with integral coefficients. Iff(1) and f(2) both are odd integers, prove that f(x) = 0 can't have any integral root.

Q: 24: Find the extreme points of the function f(x) = x + y ху On the circle x+y=2

A: We shall find out extreme points of the function in the next using the a equation of circle.

Q: EXPLAIN REPEATED ZERO EIGENVALUE?

A: Answer EXPLAIN REPEATED ZERO EIGENVALUE?

Q: Graph of f 4 3 2 1 0 -1 -2

A: (a) To find the value of the limit limx→62fx2-3fgx proceed as follows. From the graph limx→6f(x)=1.…

Q: In given problem, the eigenvalues of the coefficientc matrix can be found by inspection and…

A: Given system x1'=2x1+x2-x3x2'=-4x1-3x2-x3x3'=4x1+4x2+2x3 We can write it as…

Q: If f(x) = (2) 54 (c) 1 3x-3 3¹-x + 3x² 54 (55) Σ. 15) is r=1 xe Q, then the value of E (b) 27 (d) 55

A:

Q: Let V=R². For (₁, ₂), (V₁, V₂) € V and a ER define vector addition by (41, 14₂) H (V₁, V₂) := (U₁ +…

A:

Q: examination roofs. At a time ercentage of those 7 by the formula le to recall at n is le to recall…

A: # As per the guidelines we are entitled to solve one three subparts at a time, please resubmit the…

Q: Solve the 2 dy JX Following initial value proble x-2x 4 + T XI 4

A: We have to solve the given initial value problem.

Q: If d³p dq³ d²p dq² + p = 0, what would be the order of each differential term?

A: What is the Order of Differentiation: The order of differentiation is the number of times the…

Q: Investigate the relationship of Fibonacci numbers with the Golder ratio. 1,1, 2, 3, 5, 8, 13, 21,…

A: Disclaimer:  Since you have posted a question with multiple sub-parts, we will solve first three…

Q: In the following system Problem, categorize the eigenvalues and eigenvectors of the coefficient…

A: Given system is x1'=6x1-7x2x2'=x1-2x2 We find the eigenvalues…

Q: In each of Problems 11 through 14, find and plot both the steady periodic solution xsp(t) = C cos(@t…

A: 11. Given,              x''+4x'+5x=10cos3t;    x(0)=x'(0)=0

Q: Suppose A1, A2, ..., 430 are thirty sets each having 5 elements and B₁, B2, ..., B₁ are n sets each…

A:

Q: (2 2.) If f(x) = 2x 1 and p(x) cos (x). Find x, for 0≤x≤ 2π, if (f op)(x) = -2

A: Hi! Thank you for your question.As per guidelines we can solve one question at a time in case of…

Q: Describe some applications of association rules in detail.

A: In this question,  we have to describe some applications of association rules.

Q: Draw the logic diagram for this expression: (p v q) ^ (!r v !q)

A: The logic diagram is an equivalent diagram of a Boolean expression, which is represented using the…

Q: Ex: Find the center of mass of the solid whose density &z and bounded above by the plane z=y, below…

A: What is Center of Mass: The unique location where the weighted relative position of the distributed…

Q: g(x) = 2x−7+4 2x-π+4 o TT/2 sin² x g(t) dt

A:

Q: let T be a linear operator on a finite- dimensional vector space V, and let f(t) be the…

A:

Q: 1/ Let (X₁T) and (Y₁J.) be top spaces and fix-x be a surjective and continuousmap, then y is Compact…

A:

Q: . Consider the statement: Let A, B ∈ Z. If 6|A and 10|B, then 4|(A2 + B2). (a) Prove the statement.…

A: 5. Consider the statement: Let A, B ∈ Z. If 6|A and 10|B, then 4|(A^2 + B^2). (a) Prove the…

Q: 6. If F = Pi + Qj + Rk, prove that div (curl F) = 0

A:

Q: Given two lines in space, either they are parallel, they intersect, or they are skew (lie in…

A: Let us consider the lines x-x1a1=y-y1b1=z-z1c1x-x2a2=y-y2b2=z-z2c2 The lines are parallel if…

Q: What is mean by Matrix? Define elements matrix?

A: Matrix:- A set of numbers arranged in rows and columns so as to form a rectangular array is called…

Q: 9. Obtain the general solution to the equation. (X² +36) dy + xy = 7x, y(0) = 2 dx

A: To obtain: The general solution to the equation X2+36dydX+Xy=7X, y0=2

Q: If x³y-xy³ =2 find y' and y" at x=1.

A:

Q: d. Using the squared Fibonacci numbers, find the sum of the 1st and the 2nd terms, then the sum of…

A: D. The squared fibonacci numbers are          1, 1, 4, 9, 25, 64, 169, 441, 1156, 3025, . . . . . .…

Q: own officials want to estimate the number of households that own dog. Answer the following. (a)…

A: Answer :- (a.) 50 household are rendomly selected from the             town ; 14 own a dog is the…

Q: а a y = 1.20 (+0.02) x Absolute standard deviation = Coefficient of variation = Result =…

A: Given : y=1.20±0.02×10-8-3.60±0.2×10-9 To Find :  i Absolute standard deviationiiCoefficients of…

Q: The energy expenditure (in kcal/km) for animals swimming at the surface of the water is given by y =…

A:

Q: Find the part using the multiplication shortcut. 9% of 140 ft

A:

Q: /3 0 0 8. (3) The matrix R=0 1 0 has 0 0 3/ (a) dominant eigenvalue (e) no dominant eigenvalue a O b…

A:

Q: If  sec t=−2.07 sec t=−2.07, and angle tt is in Quadrant II, find the other 5 trig ratios. Round to…

A:

Q: f(x) = x^2-12=0 has a root near x=3.Apply 4 iterations of the secant method with initial…

A: Given: f(x)=x2-12, x1=2 and x2=3. To find: Four iterations of secant method and determine the number…

Q: he idea of a large, stable middle class (defined as those with annual household incomes in 2010…

A: Given that  middle class shrank from 61% in 1971 to 51% in 2011. Since the decline in percentage is…

Q: How many real solution the equation have? x^5+x=1

A: Sol:- Let's find the solution of the given equation:- x5+x=1x5+x-1=0Find one solution for x5+x-1=0…

Q: Q3: Solve the difference equation: y[k] -y[k - 1] +y[k - 2] = ( using Z transform.

A: What is Difference Equation: Any equation with a variable difference in it is a difference equation.…

Q: 4. Find the minimum value of f(x, y) = xy subject to x² + y² = 8. 5. Find the minimum value of f(x,…

A: As per bartleby policy, I've answered only one question. Please upload it under another question.

Q: Determine the velocity vector of the given path r(t) = (6 cos² (t), 2t - t³, 3t)

A: What is Velocity Vector: The velocity vector of a given path is nothing but the rate of change of…

Q: Name sets whose elements are (a) buildings, (b) people, (c) students, (d) trees, (e) numbers, (f)…

A:

Q: Suppose that o(r) is a periodic solution of the following equation in R with period 2. 2y"(x) + y(x)…

A:

Q: Q2: Find the convolution of the following two signals: X(n)-26(n) + 8(n-2) +38(n-3). h(n) = 2 (0;…

A: Sol

Q: 0.602xr (3×3!/4)=? (Gamma function)

A:

Q: Find the differential equations of the following primitives by eliminating the arbitrary constants.…

A:

Q: In the following implicit solution, use the initial condition y(1) = −3 to find C y³ - 5y = 4x - x²…

A: Introduction: To identify a specific solution, we typically need initial circumstances or additional…

Q: STRATIC Given three points P(2, 3), Q(4, -2) and R(a, 0). (i) Find the value of a if PR + RQ is…

A: Consider the triangle with points P2,3,Q4,-2 and Rα,0 Consider fα=PR+RQ Find the value of PR and RQ…

Q: Determine whether the graph shown hasdirected or undirected edges, whether it has multiple edges,and…

A: A graph is said to be directed graph if it's edges has direction. If edges has no direction then the…

Q: Estimate the volume of the following solids by Riemann sums m n V=f(x, yj) AA ~ΣΣ i=1 i=1 Estimate…

A: The Riemann sum to find the volume of the area under f(x,y) over the region [a,b]*[c,d] is…

Q: Describe and graph the regions in the first quadrant of the x1x2-plane determined by the given…

A:

Q: Use linear regression to find the line that fits the data X y 1.0 2.5 4.0 1.1 1.8 2.2 3.7 6.008…

A: