271 Let FC be the splitting field of x² -2 over and == e, a primitive seventh root of unity. Let [F:0 (2)] = a,[F:0 (√2)] = b then? a) a = b = 7 b) a = b = 6 c) a> b d) a

Q: Let cn = 4Cn-1-4-2 with co = -3 and c₁ = 4. Prove that ê= -3(2)" +5n(2)" solves the recurrence for…

A: The given recurrence relation is, cn=4cn-1-4cn-2. Condition is c0=-3 and c1=4. We have to prove…

Q: G A B C E D F Determine whether each of the following statements about the graph is true or false.…

A:

Q: Compute the orthogonal projection of onto . Use the square root symbol 'V' where needed to give an…

A:

Q: 2 Given A= (³²) and B= Find AB-BA Answer should be: (1410 -3 10 -16 "").

A:

Q: G A C [1] E D F Determine whether each of the following statements about the graph is true or false.…

A:

Q: Find the present value of an ordinary annuity with deposits of $7,896 quarterly for 5 years at 9.2%…

A: Given that: PrincipalP=$7896,Interest rater=9.2%=0.092,Timet=5years,Number of time in…

Q: Find the nth Maclaurin polynomial for the function. 2x - 4 f(x) n = 4 x + 1 P4(x) =

A:

Q: Q1 Let A be the 2 x 2 matrix a11 a21 a12 a22 where a11, a12, a21, a22 € R. Show that if a12@21 > 0,…

A:

Q: plications ss Grades and At X X Sis Missing Assig X m.i-ready.com/student/dashboard/home…

A: Given inequality is -4 ≥ x - 5

Q: Find the inverse of the Matrix: A -(-3 4 -3 8 -5/

A:

Q: Find the tangent plane to the equation z = 5x² + 3y² − 3y at the point (5, 4, 161) z =

A:

Q: . Sketch the slope field of the ODE y = -xy. Hence sketch its solutions. Hint: Begin by showing the…

A: Given:  Differential equation y'=-xy. To Find: Sketch the slope field and determine the general…

Q: Let us take the LP max z = 9x1 + 15x₂ 8.t. *1 + 3x 4x1 +502 1, ₂0 which has BV equal {*, *1} Find B…

A: Given: Linear programming problem, Max z=9x1+15x2s.t. x1+3x2≤30      4x1+5x2≤100      x1,x2≥0 Basic…

Q: with complete solution) x + 3y²cos y³ − 3y²x = 0

A:

Q: The graph above is a graph of what function? f(x)

A:

Q: Determine which of the following statements are true. Select all that apply. A. The graph G has two…

A:

Q: (4) Determine ker o. 5) Prove that the quotient ring Z[√-1] In. is a field if and only if q = n² + 1…

A: GIVEN: The given ring, ℤ-1=r+-1s:r,s∈ℤ the Gaussian integer. Determine kerϕ. Prove that the quotient…

Q: 1. Seatwork S Given : SE = 24 P 1. R 9. How long is PR? 12 4 2. Given PR = X+5 and 5E = 3xtl 2pts a.…

A:

Q: || Ca

A:

Q: 1 Exercise 7.1.7: Determine the Taylor series and its radius of convergence of 1 + x around xo = 0.

A: By Taylor series of f(x) around x=a is;…

Q: = Compute L-13s²es+2 : s2

A:

Q: 3. a-¹, write your answer as products of disjoint cycles

A:

Q: Let S = {a+b√2| a, b ≤ Q}. Is (S, +, ×) a ring? Prove your result.

A:

Q: Construct a simple graph with vertices C, D, E, F, G whose degrees are 0, 0, 1, 1, 2 What is the…

A:

Q: If A= 1-3 4 -3 b₂ = 0 -2-8 2 -[2-08]. -4 98 and AB== determine the first and second columns of B.…

A:

Q: Find vectors that span the image of A. Give as few vectors as possible. 1 1 12 1 3 4 A = There are…

A:

Q: how that the given set V is closed under addition and multiplication by scalars and is therefore a…

A:

Q: X₁ Y₁ Use Gregory-Newton's D.D. Method to to find: P,(15.0) (Forward) 1 1 3.5 8 6 27 8.5 64 11 125…

A:

Q: Question 1. Consider the following elements of S7, the symmetric group on the set r1 2 3 4 5 6…

A:

Q: 3. Evaluate the integral //= F.dS, dS outwards With F(x, y, z) = (0, 1, x ),where S is the surface…

A: Surface integral using Gauss divergence theorem

Q: Let V be a vector space with dim(V) = 3. Explain why any T: V → V has at least one real eigenvalue.

A: We know that the eigenvalues are zeros of the characteristic Polynomial of a linear transformation.…

Q: could you be more specific with how you solved for F1, F2, and Fao

A:

Q: Consider the initial value problem y(1) = 2. y' = 1 + 1 ≤ t ≤ 3, (a) Use the second order…

A:

Q: Let S = {p(x) = a + bx|a+b=0}. a) Show that S is a subspace of P2. [Hint: use theorem 3 or 4 of…

A:

Q: dy 3. ( Consider the initial value problem = x² - 2y, y(2) = 3. Use the Improved Euler's dx Method…

A:

Q: 1. Let A = 3 ε = 1 and consider the bases 1 0 {69-663-69} -{[]+9+*+]} {B 0 of the vector space M2x2…

A: According to guidelines we can do only first three sub parts thank you .. With the help of linear…

Q: The population of Alabama is about 4.4 million. They have a growth rate of 0.4% a year. What will be…

A: The population of Alabama is about 4.4 million.  Growth rate of the population is 0.4% per year.…

Q: JEFFERSON'S METHOD Problem Set: Region A B C D E Population 56,051 84,076 112,101 168,152 140,127…

A:

Q: a Graph y=f(x) Use the graph of y=f(x) to sketch a graph of the equation y(x). Determine the…

A:

Q: Find vectors that span the kernel of A. 1 -1 – 1 1 1 -1 1 0 - 22 1 - 1 - 2 0 3 2 2 – 1 3 4 A There…

A:

Q: Find the volume of the solid of revolution obtained by rotating about the x axis the region bounded…

A:

Q: 5. Suppose that f(z) is entire and f(z)| ≤2(1+z)4. Show that f(z) is a polynomial of degree at most…

A:

Q: For the following exercise, use a graphing utility to estimate the local extrema of the function and…

A: Given f(x)=x4+12x3+2 We say that a function is increasing on an interval if the function values…

Q: 2. List an irreducible polynomial of degree 3 over Z3. 3. List all irreducible polynomials of degree…

A:

Q: 6. Thirty buses are to be used to transport 2000 passengers. Each bus has eighty seats. Use the…

A:

Q: 2 A solid "trough" of constant density 6= 1 is bounded below by the surface z = 4y, above by the…

A:

Q: dy The differential equation- a) A unique solution b) Two solutions dx = = 60(y²)³, x>0, y(0) = 0…

A:

Q: 4. True or false For each part, determine if you believe the statement is true or false, and justify…

A: To check whether given statement is true or not.

Q: Graph y= -4 csc(1/2x - pi/2) + 5  Find the amplitude, period, phase shift, center, and vertical…

A:

Q: X₁ Y₁ Use Gregory-Newton's D.D. Method to to find: P,(15.0) (Forward) 13.5 16 18.5 216 343 512 1 1…

A: