14. In F3[x]/(x3 + 2x+1), find the inverses of the congruence classes of (iii) x6 +x4 + 2x

Q: Consider the function (the sum is taken over all positive divisors d of n). For example, if n = 6…

A: 1. Suppose that is a multiplicative function such that for any positive prime integer p and…

Q: Score on last try: 0.33 of 1 pts. See Details for more. Get a similar question You can retry this…

A: 1. ⎣⎢⎡​xyz​⎦⎥⎤​=t⎣⎢⎡​1−15​⎦⎥⎤​2. 7, 1, -3Explanation:1. The kernel of the transformation is the set…

Q: 1. For each of the following smooth curves give an admissible parametrization that is consistent…

A: The objective of the question is to find the admissible parametrization for each of the given smooth…

Q: Find the least-squares solution to the following system of equations: -3x1 - 2x2 = 3x1 3x2 = -2 -x1…

A: For finding the least square solution of the system of equations, first write the system in matrix…

Q: 2. Prove that n(n2 +5) is divisible by 3 for any integer n ≥ 0.

A: We have to prove that  is divisible by  for any integer

Q: Find a basis for each of these subspaces of R4: (a) All vectors whose components are equal. (b) All…

A:

Q: SOLVE BY SECANT METHOD Determine the root of f(x) = x³- 6x² + 11x 6.1 with initial values xo perform…

A: Given We need to find the root of the above function using secant method with initial conditions

Q: Aniyah borrowed $82,000, on a 120-day 4% note. After 50 days, Aniyah made an initial payment of…

A:

Q: A couple who borrow $100,000 for 30 years at 6%, compounded monthly, must make monthly payments of…

A: (a) Unpaid balance after 1 year: $119,880.55(b) Principle paid during the first year: $92,805.40(c)…

Q: Let B = = (1, x, x², x³) be an ordered basis for P3. Find the coordinate vector of f(x) = −4x³ +3x²…

A:

Q: 4.5. Use thin horizontal shells to find the volume of the solid of revolution obtained when the…

A: Using shell method we have to find the volume of the  solid formed by rotating the region  and…

Q: Compare the initial value and the constant rate for each pair of patterns given. 4. y Term value 40…

A: Given, a graph of Term value v/s Term number.It is required to compare the initial value and the…

Q: ing e-type argument, prove each of the following: ) Let {a} be a sequence such that an 0 for all nЄ…

A:

Q: (a) sec (3+√√x) √x dx

A: The objective of the question is to find the integral of the function sec(3 + sqrt(sqrt(x))) *…

Q: Find three different bases for the column space of U = []. Then find two 01010 different bases for…

A:

Q: Find the solution of y" - y" + y' — y = 0, ƒ(0) = 1, ƒ'(0) = 3, ƒ"(0) = 1.

A:

Q: Set W1 = -2v1 2v2 and w2: = -4v16v2. Suppose V1, V2 are independent vectors. 1. Show that v₁ is in…

A:

Q: Use the elimination method to find a general solution for the given linear system, where…

A: We have to solve the differential equation:

Q: (b) Solve the given initial-value problem kxy' + 2y = cos(kx), y(27) = k. Find a solution in an…

A:

Q: In the following cylinders, determine the name of the curve through which the generatrices pass and…

A: For the cylinder  we have to determine the name of the curve through which the generatrices passes.

Q: Set X is convex if

A: Given that a set X is convex if  . . . .

Q: Help im not sure where I got it wrong

A: 1. The kernel of T is a line through the origin . The vector equation for it is…

Q: Consider the control process x' = -y + u(t), y' = x. Find to what point (in R^(2) ) the point…

A: Final answer and explanation are clearly mentioned in the next section.Explanation:To solve the…

Q: A clothing distributor in Ajax, Ontario sells a designer suit for $1,505 less a discount of 35.00%.…

A: (a) Ajax seller(b) 10.83%Explanation:Note that the discounted price is,SP=LP(1−d)where,SP = selling…

Q: Harold Hill borrowed $19,200 to pay for his child's education at Riverside Community College. Harold…

A:

Q: Please solve and show all work.

A: So, the correct answer is:B. Row reduce the augmented matrix [A e3], where e3 is the third column…

Q: Solve the following Exact Differential equation. (x + sin y)dx + (x cos y - 2y)dy = 0

A: We have to find the solution of the exact differential equation .

Q: Let S be the set of all strings of 0's and 1's of length 4, and let A, B, and C be the following…

A:

Q: Pleasev don't provide handwritten solution ....

A: The LU factorization of matrix A is A = LU, where:∙  L=⎣⎢⎡​1−1−1​011​001​⎦⎥⎤​∙…

Q: (a) If a 7 by 9 matrix has rank 5, what are the dimensions of the four subspaces? What is the sum of…

A: a) A 7 by 9 matrix which has rank 5,The aim is to find the dimension of the four subspaces and what…

Q: A trough in the shape of a half cylinder has a length of 5 m and a radius of 1 m. The trough is full…

A: a) The dependent variable is the volume of water in the trough, which changes as the water level…

Q: 2. Find the inverse transform of Laplace L-1{3+}. 2+4s

A: We now find the inverse Laplace transform of s+1s2+4s, i.e. we find L−1(s+1s2+4s).

Q: (d) Prove or disprove that, for any universal set U and predicate P Na EU, P(x)] [3x € U, P(x)] =>

A: Given, a universal set  and predicate .It is required to prove or disprove: To solve this problem,…

Q: (a) Show that a differentiable function f decreases most rapidly at x in the direction opposite the…

A: (a) The function f decreases most rapidly at point x in the direction opposite to the gradient…

Q: Find all solutions to the diophantine equation n 4 – n² – m³ = 0.

A: The objective of the question is to find all integer solutions (n, m) to the given Diophantine…

Q: Use the elimination method to find a general solution for the given linear system, where…

A: We have to solve the given system by elimination method

Q: The monthly payment for a home loan is given by a function f(P,r,N) where P is the principal (the…

A: In partial differentiation we differentiate function of several variable with respect to a…

Q: QUESTION #9 The market price for a certain product is $11 per unit and occurs when 50 units are…

A: The information describes a market where a product costs $11 to produce and there's demand at that…

Q: How many positive integers n satisfy σ(n) = 54?

A:

Q: (D) Graph the function y = cos(x)+cos(x)| 2

A: The function is :

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS give screenshots of the outputs

A: Scilab code: // Define the matrices A = [-1 0 0; 0 1 0; 0 0 -1]; B = [-2 9 -1; 6 2 0; 0 -6 8]; D =…

Q: Let ā = (−1, 1, 3) and 6 = (0, -4, k). a Find k so that a and b will be orthogonal. k =

A: k=34​Explanation:   Two vectors are orthogonal if their dot product is zero.   Therefore, k=34​   (…

Q: 5. Use the definition of the limit of a sequence to establish the following limits. n (a) lim n²+1…

A: According to the guidelines I am going to solve the first three subparts of the problem, please post…

Q: 2. Consider the region S bounded by the curves 1 1 y=x+ and y=x-for x≥1 x x" a. Is the area of S…

A: Given, Both the curves have the same asymptotes .The region  bounded by the curves will be

Q: Plz correct solution.

A: The objective of the question is to fit a linear regression model to the given data points using the…

Q: maximize 2x1 + 3x2 +53 +24 subject to 1+2+223 +4≤2, 3x2+3x3 +34 6, 3x1+2x2+2x3 + x ≤7, 1, 2, 3, 4≥0

A: Objective function:Maximize: Subjected to constraints:

Q: 2. For each of the following series determine if they converge or diverge. You may use any test we…

A: 2 . (e) and (f)

Q: Point A (2,2) is one of the vertices of a regular octagon inscribed in a circle centered at the…

A:

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: The answer given in the explanation box. If you have any doubt the you can ask in comment section.…

Q: Provide details/explanations of your solutions,indicate any formulas you are using and clearly show…

A: a) The supply and demand equations are  Qs​​=10P−60 andQd​​=−10P+160b) The market price is $11.c)…