J2005 is divided by x-a. (i) Show that 2a3 + a² – 13a+ 6= 0. (ii) Solve this equation completely.

Q: Prove: If S is compact, and ƒ is continuous on S, then ƒ takes a minimum value some- where in S.

A:

Q: Let R be the ring of continuous functions from R to R. Prove that M = {f e R : f(0) = 0} is a…

A: To show that the given subset M of R is a maximal ideal, we first show that M is a ideal of R and…

Q: (ii) - 1)" -1 п (п - 1) ,0 <x < 1. n = 2 8

A:

Q: Find the chromatic numbers of the following graph Color the graph with chromatic number of colors.…

A: Given us a diagram so we can coloured it with diffrent colour since no two colour  can give to same…

Q: Formulate a LP model for the OECS bank that will maximize net returns from the loans division and a…

A: formulate a L.P model for the OECS bank that will maximize net returns from the divisions and a…

Q: 12. The graph of f is shown below on the xy-plane. Explain why y = 0.8(x – 1) + 0.4(x – 1)² + 0.1(x…

A:

Q: Use Fixed-Point Iteration Method to approximate one real root of f (z) = 2 sin()- z using z = 2…

A: Given: Let us consider the given, fx=2 sinx-x x=2 sinx with x0=0.50 %ER&lt;0.005%

Q: Yumi wants to buy a volleyball. Its original price is ₱965 and is on sale at 25% discount. How much…

A:

Q: . Is sin y x² dx + ydy = 0 a linear?  2. Is y' = y+x / x a homogeneous Equation?

A:

Q: go SL x* dy- dy ax where L is segmeut bekueeu two pailuts (9,0) aud (1,0)

A:

Q: Find the Laplace Transform fit) = sin(2t) cos (2t) 2 A F(8) = g2– 16 B F(s) = s²+ 16 © F (s) = s2-…

A:

Q: Cookie salon is celebrating their second anniversary. They are offering hair service for only ₱699…

A: Discount = 1699 - 699 = 1000.

Q: 2.4.6 Suppose A E M4(C) has all four of its eigenvalues equal to 2. What are its possible Jordan…

A:

Q: Suppose that f: G → G such that f(x) = axa. Then fis a group homomorphism if and only if a = e O a^4…

A: Given that f:G→G be a function such that fx=axa

Q: Show that in the factor ring Z[i] / , the element x + is a unit.

A: Given a factor ring Zx2x+1=a0+a1x,+⋯+2x+1 |a1∈Z  As 2x+1+2x+1=0+2x+1 Since,  2x+1∈2x+1   as aH=H iff…

Q: T(n)=2T(n-1)-T(n-2), T(0)=1, T(1)=1.

A:

Q: f(t) = te-6t 1 А. (s+6)2 1 C. (s-6)2 В. 720 D. (s-1)7

A:

Q: 1. xy dx + (x²- 3y) dy = 0 ans. x'y = 2y + c

A:

Q: Solve the dy *+g+ 3 differential %3D equation.

A: The given problem is to solve the given differential equation. Given differential equation dy/dx…

Q: Suppose that the marginal propensity to save is ds = 0.3 - dy (in billions of dollars) V 9y + 6 and…

A:

Q: 10. Which of the vectors U =, V = and W = are in the same plane?

A:

Q: Q6) by using the (graphical method) find the optimum solution of X1, X2 that the minimum Z=10X1+25X2…

A:

Q: d. 20 ( cos 120° +isin 120°) Based on De moi vre's theorem, the given below is equi valent to whi ch…

A: Let , z = 5cos 30° + sin 30° which is in polar form of complex number. Compare with , z = r cos θ +…

Q: 5. Consider the vector space P2 along with the subspace, H= span {1+ 21°, 2, -f,1-f} Use coordinate…

A:

Q: To accommodate more depositors, new investment products were made available to the small businesses…

A: 1st we will form system of linear equation using three variable and then solve it by using inverse…

Q: 6. Determine whether P = and Q = 10,3,2 > are orthogonal vectors.

A: As per our guidelines we need to solve only one question. Please, repost the remaining questions as…

Q: Exercises 6.1 In Exercises 1-8, show that the given set of functions is orthogonal with respect to…

A:

Q: A standard dorm bedroom at most collegue 10ft wide by 15ft long. A LEGO 2by4(2*4) brick is 0.90cm…

A: The formula to calculate the volume of a cuboid is V=lbh, where l, band h are the length, breadth…

Q: HW Problem 32. various reasons. Suppose this figure was obtained from a random sample of 20…

A: Because of less sample size we use T distribution.

Q: find the laplace transform

A:

Q: n topulogical manikuld - show that Mis locally compact 6

A: This is a problem of differential geometry.

Q: Evaluate the following problems using modular arithmetic. Write your answer as a modulus statement.…

A: To evaluate the given problems using modular arithmatic.

Q: (a) Consider y" – 3y' – 2y = te-t sin(3t) – 4e-t +5t2 – 2. Write down the most efficient “guess" for…

A: Since you have asked multiple questions so as per guidelines we will solve the first question for…

Q: det (A) = 1. %3D

A:

Q: Compute log z dr 1+r² 3.

A: Given integral is  ∫0∞logx1+x2dx

Q: Consider the sequence {an} where an is given by -{ (n³ – 1)/n³, if n is odd, An = (n² + 1)/n², if n…

A:

Q: 1/4 1. Find all the values of 3.

A:

Q: Determine one real root of f (z) = 8 (sin z) e- lafter two iterations of the Newton-Raphson Method…

A: The equation in the form f(x)=0 is called a transcendental equation. The solution of the equation is…

Q: = The value X3 .3 -2 x1 + 6 x2 + X3 – X1 +x2 + 7 x3 = -6 4x1 – x2 – X3 = 3

A:

Q: Use Gauss-Jordan Elimination to solve tl and the Gauss-Jordan Matrix (or Row Red ary of answers. 3x…

A: This is a problem of linear transformation.

Q: 6° Szx dx t yay where L cs parabol y=-x(x-) arc

A:

Q: By using Cauc hy laws find= Cos X.dx IT (x?+)) Sinx cos A) dx COS X e)

A:

Q: Used cylindrical shell method Find the volume of the solid obtained by rotating about the y-axis in…

A:

Q: Solve the given LP problem using the Simplex Method Minimize: Z = 25x1 + 35x2 Subject to: 3x1 + 4x2…

A: The given problem is to solve the given linear programming problem using the simplex method with…

Q: 4. у + 2x &y(1) = 2. y3

A:

Q: 3 4 f(x) 0 2 4 6 8 10 12 14

A:

Q: investment products were made available to the small businesses and single entities. These…

A: Here we generate a equation then solve that.

Q: DIRECTIONS: The entire test has been answered for you. Your job is to check the answers for errors.…

A:

Q: |1 a а2 A = |1 b b² b b23 (b — а)(с - а)(с — b) %3D c2

A:

Q: 3. Find the dot product of à = and B =. 4. Find the scalar product of P = 10î – 4f + 7k and Q = -2î…

A: