Consider the linear transformation T : R2[x] → R2[x] given by T(a + bx + cx2 ) = (a − b − 2c) + (b + 2c)x + (b + 2c)x2 1) Is T cyclic? 2) Is T irreducible? 3) Is T indecomposable?

Q: Evaluate the integral using Simpson's 1/3 and Simpson's 3/8 with n%3D11. Express the answer in four…

A: Simpson's 13 rule: We need to evaluate ∫14x-1 dx with n=11 Now, h=b-an We have a=1, b=4, n=11 So,…

Q: Tangent to the parabola z = x2 + 3y2 , x = 1 , at point ( 1 , 2, 13 )

A: Given:   Tangent to the parabola z = x2 + 3y2 , x = 1 . at point (1.2.13)

Q: Solve for the following 1. (5Z 40°) • (3Z 10°)

A: Product of two complex numbers

Q: B. Solve. Two hikers start at the visitor center. The first hikes 4 miles due west, then turns 40°…

A:

Q: Discuss the properties of the curve and sketch fully:

A: Introduction: The graphical representation of a function is very significant. It helps us to…

Q: 4. Solve for x: 2x-17 O x = 3 X = O x= 15 Ox-7 Ox-10 X-7

A:

Q: (ii) o S(2xy + z)dx dy dz z=-1 :0 Jx=1

A:

Q: (a) Evaluate the integral (cosx+ (b) Find the total area between the region and x-axis…

A:

Q: Is it possible to get a example which shows this applied to a model

A: To determine: An example which shows the application of Taylor series in a model.

Q: that 10348+4303 is divisible by 47. the remainder of 123 is divided

A:

Q: Expand more please.

A: Definition- Notation is a symbolic system for the representation of mathematical items and concepts.…

Q: Let W = {(0,x, y, z): x + 6y – 9z = 0 } be a subspace of R*. Then a basis for W is: {(0,6,1,0),…

A:

Q: Xz Defermined is this Seriese Geometric or n cind find asum of it. 8+4 + 2+ 1 t.

A:

Q: tind the remaininn parts of the spherical trinngles 95 09' 7" C 79°18'29", C= 900

A: Given: a=95°09'17''c=79°18'29°C=90° To find: Parts of spherical triangle

Q: 10 at x + 4 x = 0 using the limit definition of the derivative. Find the derivative f' (0) of f(x) =

A:

Q: Let m be a real number and M =}(: %3D If M is a linearly dependent set of M22 then O m=1 O m=6 O…

A: We know that two vectors are linearly independent if one vector is not the scalar multiple of the…

Q: Find the tangent line(s) to the parametric curve given by a = t5 – 4t3 y = t? at (0, 4).

A: Find the tangent line(s) to the parametric curve given by x = t^5-4t^3 , y = t^2 at (0,4).

Q: a) Test the series 2 2-1)" for convergence n =1 or divergence (show all your works) b) Test the…

A: Cauchy nth root test:-

Q: b What is the general solution of the differential equation? Reason out why it is the general…

A:

Q: etermine the intersection of l1 and l2.

A: Given, Two lines are l1:x-12=2-y=z+1l2:1-x2=y-2=z-33 The intersection point of line l1 and l2 are to…

Q: [B] Solve the transportation problem (find initial basic solution with VAM and optimal solution…

A: We have to solve the given transportation problem.

Q: 1. Let V (x, y) 1+ x2 + y 1+x² + y* and let F(t) = x(t)î + y(t)ĵ where cos(t) (cos (t) + cos²(t)(2…

A:

Q: amam Directions: Read the word problems then answer the questions that follow. Mr. Cruz kept a…

A: 21. Consider the meter reading, 0213.694; 0231.631; 0300.009; 0320.001 it is also given that initial…

Q: Calculate: a) median b) first quartile

A: Class Interval Frequency Cumulative Frequency 90-105 24 84 105-120 62 86 120-135 72 158…

Q: 2. Solve for the missing angle: 100

A: Introduction: When two line segments meet at a single point, an angle is formed. Angles are…

Q: R is The lowey timit topolygy Pimer than the strmdard topoleoy てom

A: The given question is related with topology. Let Τ' be the lower limit topology on ℝ and Τ be the…

Q: • MMD7;10 Let M = Then M is a basis for M2,3 O the above M3,2 the above None of the mentioned

A:

Q: Find the span (S) of the following R³. State whether S is linear in

A:

Q: Does there exist an 8 x 8 matrix A - (a) satisfying the following three conditions? (1) If i 2j then…

A:

Q: The determinant of P is a non – zero scalar polynomial.

A:

Q: Let A = {(0, –1,6); (–1,0,2); (2,1,0)}. Then A is a basis for R4 the above vector space R3 the above…

A:

Q: sinca)-dx

A: Numerical Analysis Question.

Q: 9. Find the radius of convergence, R, of the series. Find the interval of convergence of the series.…

A:

Q: Determine whether the Fourier series of the following functions converge uniformly or not. a) f(x) =…

A: The function given is as follows: fx=sinhx,    -π<x<π We are asked to find the Fourier series…

Q: Group 1 Consider p> 2 a prime number, justify that: (P,)= (-1)" (mod p) to any 0 snsp- 1,n € N. 1.1…

A:

Q: Let M be the portion of the cylinder x2 + z? = 1, 0 < y < 3, oriented by unit normal N = (x, 0, z).…

A:

Q: Solve %| 1+9x² ) dy + x³y² = 0 .

A:

Q: Work Problem 2 -): Consider the vectors from R3 v, =| 2 V2 5 a) Create the augmented matrix which…

A:

Q: A manufacturer of machinery parts determines that q units of a partic- ular piece will be sold when…

A:

Q: Use the above formula to write each of the following limits as an integral (a) (b) m%3D0 nm- lim n2…

A:

Q: 3. Estimate the derivative using forward finite divided difference applying both truncated and more…

A:

Q: 00 n* In n b) Is the series > is absolutely convergent or divergent? justify n8 – 2

A:

Q: 5. (a) Solve the simultaneous equations: 4x + 2y = 20) 5x – 2y = 7 5 %3D (b) M = ) N= ) 2 М — -2.…

A:

Q: 1. In the right triangle ABC, AB = 2, BC = 4 and ED is a line parallel to AB. Find the angle a =…

A:

Q: It is not possible to find a value for a so that the series 1 + na na+1 n=1 is convergent. Select…

A:

Q: ev dy Solve the initial value problem given by y(1) = 2. %3D dx y

A: Differential equation: A differential equation is an equation which involves one or more derivatives…

Q: What is the equation of the radical axis of the curves x^2 + y^2 – 1 = 0 and x^2 + y^2 – 6x + 6y +…

A: Let us consider the curve C1 and C2 To determine the Radical axis between the curve solve  C1-C2=0…

Q: 1. Consider the lines x = -1+ 2s 3 – z l1 : 2 and l2 : y= s 4 -2 z = 5+ s а. Find two unit vectors…

A: This is a question of vector Algebra.

Q: (b) Integrate: () S(4x3 — Зх? + 2х — 1)dx 3 (ii) - S-o S,(2.xy + z)dx dy dz z=-1 Jy=0 Jx=1 dy du =…

A: Solution:-

Q: 2)2

A: