82--3 = (16)-2 %3D

Q: 14. Prove that F Z[]/(1+ 2i) is a field. How many elements are in F? What is the characteristic of…

A: Z[I]\(1+2i) and the number of elements

Q: trictio

A:

Q: Find all subfields of Q(19). List each subfield as Q(a) for some a E Q(G19)

A: Please find the solution in next step

Q: 1. Interval, 0 < x < 2; function, f(x) 0 < x < 1, 1 < x < 2. = 2 – x, 4 1 ANS. f(x) 1 +* E 2 cos – 1…

A: Fourier Cosine series expansion of the function

Q: 6. Let F (x,y,z) = (x+ y, –2y + z, 8z – x) and let U be the sphere where x? + y? + z² with…

A:

Q: Teachers' Salaries in North Dakota The average teacher's salary in North Dakota is $37,764. Assume a…

A:

Q: 2. Suppose X is a continuous random variable with 0 sXS 2. Which, if any, of the following functions…

A:

Q: 4 9) Use Euler's formula to compute (--i. Express as a 2 2 complex number of the form a + bi.

A:

Q: Q3.() Convert follosing ODES to a a 9,

A:

Q: 6) Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A:

Q: Evaluate the following (Express all answer in Rectangular Form): a. cotlog(1 – 4i) i b. (2e) C. z2 +…

A:

Q: Find 37 in 200

A:

Q: Vhat is the gradient of g(x.y) = ye* and its maximum value of its directional derivative at P(0, 5)?…

A:

Q: 17 s + 675 7 270 2 s - 4s + 85

A:

Q: a. Find the common difference and number of terms in the series 3.5+10+...+647 and hence find the…

A:

Q: Let G(r, s) be the graph with vertex set V= {(a,b) e Zx Z|1<a<r,1<b<s} and edge set = {(a,b), (c,…

A: Given G(r, s) is a graph with vertex set V={(a, b) ∈ℤ×ℤ| 1≤a≤r, 1≤b≤s} and edge set E={{(a, b), (c,…

Q: For the matrix A, find (if possible) a nonsingular matrix P such that PAP is diagonal. (If not…

A:

Q: Following are the scores of ten students in a statistics test. 30, 26, 28, 48,20, 22, 28,23, 35, 38…

A:

Q: 3. Suppose L: R² → R² is a linear transformation. (a) If L(ej) = e+ e2 and L(e,) = ej + €2, verify…

A:

Q: 9. Find an equation for the plane containing the points (3,1, 4), (–1, –1,-1), and (0,2,2).

A:

Q: 7- x"(t) – 2x'(t) = 6 – 4t x(0) = 2 , x'(0) = 0 nat

A:

Q: 2. 11 13 VT(s-18) 2 5VT(s+1) 2

A:

Q: 8. Let f(x,y) = x² – 8x + 2y² + 4y +7. a. Find and classify all critical points of f. b. Does f has…

A: This is a problem of multi-variable calculus.

Q: the following series in determining the IOC and ROC. The summation of [(7^n)/(n+5)](x-4)^(n+2) from…

A:

Q: alluse the gauss eteminationt to Pind the -t 19. -1 b9 -3 2 -2 63

A:

Q: Sketch a Saccheri quadrilateral in the spherical model of double elliptic geometry with the…

A: To sketch: A Saccheri quadrilateral in the spherical model of double elliptic geometry with the…

Q: (2) Consider the curve given parametrically by 1=1+2/2 cost, y = tant +2/2 sin t, for dy and show…

A: This is the application of derivatives.

Q: aining differential equation for 11 cost+ 40 7 sint 40 11 7 2e2t sin 5t+ cost+ 40 40 C2 e sin 5t +…

A:

Q: . Solve the following system of equations with the Gauss-Jordan elimination method. 4x, + 3x2 + 2x,…

A: The solution is given as

Q: Assume you are able to put $8,000 in a savings account today that pays 6% interest rate. Assume, you…

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

Q: Verify Green's Theorem by evaluating both integrals an am dA ax ay for the given path. C: rectangle…

A:

Q: Prove that for a diagonalisable square matrix A, the determinant is the product of the eigenvalues…

A:

Q: where m and n are constants. Which of the following is the answer for the inverse Laplace transform…

A:

Q: Write each decimal as a fraction in simplest terms. A. 0.75 B. 0.3 C. 0.03 D. 2.7

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: 5. Convert each vector equation to matrix equation. Afterwards, solve and show the solution in…

A: An equation of the form Ax=b is called the matrix equation, where A is an m×n matrix, x is an n×1…

Q: 4 3 1 T1/2 31/2 -1 -2 -3 -4 -5 The graph of the function f(x) = tan x is given above for the…

A: For the solution of the problem follow the next step.

Q: Let T: R3 → R3 be a linear transformation such that T(1, 0, 0) = (2, -1, 4), T(0, 1, 0) = (3, 1,…

A: We have to find the value of T2,1,-4

Q: Whether each of the following statements are true or false. Write TRUE or FALSE. (a) In the RSA…

A:

Q: The complex number z is defined by z= 3-z+4·j where z is real. a) Find, in terms of z, the real and…

A:

Q: Find the general solution of the given second-order differential equation. y"- 10y' + 26y = 0 %3D…

A:

Q: In spherical geometry, draw a triangle with three right angles in the spherical model with radius r.…

A: Given that,In a spherical geometry,A triangle has three right angles with radius r.The length of…

Q: 10. Swap the order of integration for Só Sà f(x,y)dydx.

A:

Q: 12. Teachers' Salaries in North Dakota The average teacher's salary in North Dakota is $37,764.…

A:

Q: Using Newton's backward difference formula, construct an interpolat- ing polynomial of degree 3 for…

A: Newton's backward difference interpolation formula for four points can be defined…

Q: 4. Use the elimination method to find a general solution for the given linear system, where…

A:

Q: Compute the point of intersection of the curve sinx and x-1 with the help of Bisection method. Ans.…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: How many ways are there to distribute 7 different tasks to 7 different people if: i No roctrictions…

A: Introduction: A rule used to count the entire number of alternative outcomes in a circumstance is…

Q: Find the explicit formula for this polynomial sequence: 3, 24, 79, 180, 339, 568, 879, ..

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: We consider the vector space R3 which has the standard basis S = {e1,€2, €3}, where e; is the i-th…

A:

Q: Six hundred employees cast their preference ballots for the new president of their company. The…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…