3. Given the graph of f(x), sketch the graph of y = S(x)* a) b) 2- -8-7 -6-5-43-2-1 123 5678 -2 -4 27 -6 -8 -12t 41

Q: Give an example of a function f : A4 → S6 that is not a homomorphism. Justify your answer

A:

Q: Expand the function , in a power series anx" with center c = 0. Find a„x". 8+7x %3D n=0

A:

Q: st4 (i) F(s)= (s+2)(s+1) st6 (ii) F(s) = (s+1)(s+3) s+6 iii) F(s) =' s(s+3)

A:

Q: dQ 21. t + Q = t*Int dt 22. (2x + y + 1)y' = 1 23. (x2 + 4) dy = (2x – 8xy) dx | 24. (2r cos 0 sin0…

A: Divide both sides of the given equation by t to obtain standard form. tdQdt+Qt=t4lnttdQdt+1tQ=t3lnt…

Q: The table gives the readings from a laboratory experiment 1 2 3 4 Y 120 90 60 70 b+x A curve of the…

A: Given: Let us consider the table of readings from a laboratory experiments,

Q: a) Show that this series converges when x = 1. (You will need to use one of our tests.) (b) In fact,…

A: This is sequence and series.

Q: 3. Use De Moivre's Theorem to solve for the roots of : a® – 1 - jl = 0 O A. 1 cjs (T/24 + TIk) ; k =…

A: To find the nth root of the complex number Z = r [cos(θ) + i sin(θ) ] in polar form, use the formula…

Q: By calculating the solid's volume got by rotating the region underneath the semicircle y = (r2 −…

A:

Q: Uindaterraind coefdicients y" t 4ytuy = (3+x)e"; yro)=2, y'6) =5 %3D

A:

Q: For this part, you will need to find a solid at home in the shape of a rectangular prism or cube…

A: Since you have posted a multipart question and we can answer three subparts. So, answered the first…

Q: n47- AdjacencyGraph [bigGraph, VertexLabels - "Name" ) Ou= G17. Is the graph above a connected…

A:

Q: A triangle has two of its corners in (4, 0, 7), (0, 4, 7), and the third on the curve in space that…

A:

Q: 7. Evaluate fff, 4xydV, where E is the solid bounded by z = 2x2 + 2y2 – 7 and z = 1. You must use…

A:

Q: For values x=[ 1:1:25] , plot y1=2 x +1 and y2= x+

A: This is a question of plotting points in an interval, it is a question from real-valued function.

Q: If v, and v, are linearly independent eigenvectors, they correspond to distinct eigenvalues. True O…

A:

Q: Find the volume of a cone with a base diameter of 10 ft and a height of 11 ft. Write the exact…

A: Given that the diameter of the the base of a cone is 10 feet and the height of the cone is 11 feet.…

Q: PROBLEM: Find the maxima/minima of the function: f(x) = 30x* – 121x³ + 60x² + 64x using Newton's…

A:

Q: Find the general solution of the differential equation y" – 4y/ – 21y = -47t + 42t². NOTE: Use t as…

A:

Q: 3. Use De Moivre's Theorem to solve for the roots of : a® – 1 - j1 = 0 O A. 1 cjs (T/24 + rtk) ; k =…

A: Introduction: DeMoivre's theorem is a significant theorem in complex analysis. It is used to find…

Q: 2. Explain how each of the following factors may affect LRAS and SRAS respectively. In particular,…

A: Given: Let us determine an increase in the rate of labor force participation (LFPR).

Q: B. Use Linearity, Shifting and change of scale propertie 1. f(t) = (1- te-t)3 2. f(t) =-e-3t sin4t +…

A:

Q: A silo consists of a right circular cylinder surmounted by a hemisphere. Find the most economical…

A: Please comment if you need any clarification. If you find my answer useful please put thumbs…

Q: (D² – 3D+ 2)y cos (e-) cos

A: This is a problem of differential equation.

Q: 4. Use Method of Undetermined Coefficient to solve for the general solution of the given…

A:

Q: Consider the folowing. X - 8 cos e Y - 5 sin a (a) Sketch the curve represented by the parametric…

A: We have to sketch the curve.

Q: Let n E Z. Show that f(x) = x3 – nx +2 is irreducible over Q for %3D n + -1,3, 5.

A: We shall find all n ∈ Z such that f(x) is reducible. Assume that f(x) is reducible. As f(x) is…

Q: Find the solution. dy 2y +==x?y?sinx dx y = x?(sinx-c) B y = x²(cosx+c) (c) y = x²(cosr+c) D y = x (…

A:

Q: 3. Find x so that x + 6, x + 12 and x + 15 are consecutive terms of a Geometric Progression.

A: We want to find value of x

Q: 1. Find the Laplace transform of the following. A. 1. f(t)=e2t cos 5t - 3t 2. f(t) = 7t2 - te 4 %3!

A: Given: 1. f(t)=e2tcos 5t-3t^32. f(t)=7t-te-4t To find the Laplace transform

Q: ГО 5 4 5 1 2 2 3] A = [1

A:

Q: O Proof: a Contradiction: V2 is an irrational number O The sum of a rational number and an…

A: Let us assume that √2 is a rational number. So it can be expressed in the form p/q where p, q are…

Q: 1. Using Three point Forward difference, Backward difference, Central difference formula numerical…

A:

Q: (4,28) is a maximum or a minimum point of the function g(x) = -x³ + 6x2 – 4. Verify whether the…

A:

Q: 2. If the density of a random variable R is zero for z¢ the finite interval [a, b], show that N(s)…

A: Given: For x∉the finite interval[a, b], the density of a random variable R is 0.Let's determine that…

Q: Find the Taylor/Maclaurin series centered at c F(x) = e^(2x), c=0

A:

Q: Solve u =4UKX ullo,t) =56 uCXro) =100 l00 25 * Sinx+5X

A: The given problem is to find the solution for the given heat equation partial differential equation…

Q: 1. Using Three point Forward difference, Backward difference, Central difference formula numerical…

A: To use three point Forward difference, Backward difference, Central difference formula to find…

Q: ind the coordinate vector [x]g of x relative to the basis 1 B = X = -2

A: Coordinate vector of the given vector

Q: [1 0 17 C=0 1 1: 0 1 0 [1 1 1 D=0 0 1- 10 0 Го A = Let B = [1 07 1 0 0 1] E-1 0 1 0 10 10 1 1 F- 0 0…

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

Q: Show that the set is linearly dependent by finding a nontrivial linear combination of vectors in the…

A:

Q: ×- -X+ し SY STEM = ニ メ=ーと 2) a tbt ーt ニ t d山

A: This is a problem of linear transformation.

Q: in two way ANOVA, if factor 1 has alpha levels and factor 2 has b levels then there are a total of…

A: there will be a total of axb  treatement. option b is correct answer

Q: rections: Henry thinks that X = 22 . Is he correct? Follow the checklist below to help determin…

A: find the values as follows sin 38°=0.61566 cos 38°=0.78801 tan 38°=0.78128

Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

A:

Q: ues a) Draw a cylinder and label its height and radius in centimetres. Your diagram does not have to…

A:

Q: Find the volume of a solid whose base is the area enclosed by the given circle, cross sections taken…

A: Introduction: Suppose, the area of a bounded region is Ax. If we integrate the area in the given…

Q: (a) Suppose that a > and that the parabola with equation y = ax? +2 has vertex V. The parabola…

A:

Q: Solve the following equation by fixed point method using the initial value x(0) = -1. F(x) = 2cos(x)…

A:

Q: Find the gradient of the function at the given point. f(x, y) = 2x + 4y2 + 1, (1, 5) Vf(1, 5) =

A:

Q: 6. Are these triangles congruent and if, so, for what reason? O Yes, SSS O Yes, SAS O Not congruent…

A: We want to find the both triangles are congruent or not.