Prove that If a>0 is constructible, then sqrt{a} is also   constructible.

Q: The Galois group of x\power{n}-1 over any field of   characteristic zero is abelian.

A:

Q: Use integration by parts with u = -5lnz and du = zdz to find Do not include +C. -5zln z dz. Give…

A:

Q: Find: (a) the zeroes of sin (2x - 3π/2); (b) the domain of tan (x/2+3/7).

A: Let us solve  above questions.

Q: Let K and E be the extension of a field F with   [K:F] finite and assume that both K and E are…

A: Given thatLet K and E be the extension of a field F with [K:F] finite and assume that both K and E…

Q: The total cost (in dollars) of producing x food processors is C(x) = 2200+70x-0.3x². (A) Find the…

A: Please refer to the solution in next step.

Q: A biologist on a 50-meter observation tower at the edge of a beach sees a great white shark swimming…

A: To solve this problem, we can use trigonometry. Given the angle of depression, we can determine the…

Q: (-1.97) 4 (-1.02) 6 (1.03)³ 18.88

A: Given thatThe linear expression

Q: Suppose you want to decrease the margin of error by a factor of 5-for example, from 15% to 3%. By…

A:

Q: Question of 172 17zln z dz using integration by parts with u = 17 Inz and du = zdz. Give only the…

A: The given integral is Let Then

Q: A factory that makes statuettes is trying to maximize its profit. Their two primary products are the…

A:

Q: By using variation of parameters, determine the general solution of t²y" - 3ty' +4y=t, t > 0 given…

A:

Q: Let A = True False -8-2-9 4 0 6 4 Is it true that w is in Col(A)? 8 4 and w H

A: Let  and .Is it true that  is in  ?1. True2. False

Q: T1=50 T2=15 T3=35 angle 1=50 angle 2=15 only HANDWRITTEN ans

A:

Q: Let f be an automorphism of a group G. Then the image under f of every normal subgroup of G is a…

A: Let f be an automorphism of a group G. Then the image under f of every normal subgroup of G is a…

Q: Find all abelian groups (upto isomorphism) of order 3375.

A: We have to find the all abelian groups (upto isomorphism) of order 3375.

Q: Evaluate the following limit. lim 3 sin t lim t→0 t t e2t -2t-1 7t 7t 7 cos t+ 1² 71² 2 7 cos t+…

A:

Q: can you help me with this problem and the parts as well

A: Orthogonal vectors: Two vectors x and y are said to be orthogonal vectors if the dot productof x and…

Q: Hence, for 0, 1 € Z2 there exists p(x, y), q(x, y) ≤ Z[x, y] such that g(p(x, y)) = p(0,0) = 0,…

A: I give the complete solution of original question.To prove that (x, y) and (2, x, y) are prime…

Q: Show that the order of the group of automorphism of a finite group of  order n is a divisor of n !.

A: we have to show that the order of the group of automorphism of a finitegroup of order n is a divisor…

Q: (32³ mod 13)² mod 11

A:

Q: What is the concept of weak convergence in functional analysis, and how does it differ from strong…

A: To Do:Explain the concept of weak and strong convergence in functional analysis.Also, explain how…

Q: O O Find a basis for the null space of the matrix 1 A-2 Nul(A). 0 -5 1 4 1 6 -2 -2 1 9 The set of…

A:

Q: Use backward-difference formula to evaluate the first derivative of y = x² + 4x − 5 at x = 0 using a…

A:

Q: A small flying toy drone is launched into the air, rises for a time, and then crashes to the ground.…

A:

Q: 2. The principal at Eisenstein Elementary School has just retired. The school board must hire a new…

A: (a)  Number of total votes = 6 + 2 + 3 = 11         Let A = Mrs. Anderson              B = Mr. Borda…

Q: 3. Consider the function u(x, y) = f(3x +4y) + e2(3x-4y) + 3x - 4y and let s = 3x +4y and t = 3x -…

A:

Q: Determine the frequency of the seventh harmonic for the Fourier series represented E as x(t) = 5 +…

A:

Q: Find all Singular points of the given differential equation then classify as Irregular Singular…

A: The given DE is .Compare it with ,we get .

Q: Consider the following system of differential equations. dy dt dx dt L{x} = X - - 2y, S-11 2 S +9 =…

A: Given system of differential equations

Q: Find the dimensions of an open top circular cylinder to minimize the surface area if the volume is…

A: An open top circular cylinder has volume  cubic inches.We have to find the dimensions of an open top…

Q: f(x) y 1 4

A: Given graph of  as below

Q: Given: z=x²+xy³, əz du Find = uv² +w³, y=u+ve” when u -2, v = 2, w=0 23/06/2

A:

Q: (f) If y₁ and y2 are two solutions of (2), their sum is also a solution of (2). (g) If y₁ and y2 are…

A: Since here explanation is not required so I can write only true and false.

Q: If A is an n x n matrix, then the trace of A - At is equal to

A: Please refer to the solution in next step.

Q: The scalar triple product of three vectors gives the volume of the three-dimensional parallelepiped…

A: The Volume of the three - dimensional parallelepiped descrived by the vectors  is the scalar tripple…

Q: Mümkün olan en yüksek dereceden polinomlar için aşağıdaki kareleme formülünü kesin eşitliğe…

A:

Q: Use the Laplace transform to solve the given system of differential equations. dy dt dy dt dx dt dx…

A: Now first we will apply Laplace transform on (1)now to find

Q: Show that the order of the group of automorphism of a finite group of order n is a divisor of n !.

A:

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

A:

Q: To provide for expansion, a company has established a sinking fund earning 6% quarterly. The fund is…

A: Given future value (FV)Rate per quarter (r)Time, (n)

Q: 5. What is the distance between U = a. √11 b. √5 C. 9 d. 5 1 -1 2 3 and v= 1 2 3 4 ?

A:

Q: Show that G\index{1}×G\index{2} is abelian if and  only if both G\index{1} and G\index{2} are…

A: Recall that a group is called abelian if ab=ba for all a,b in G

Q: Find the adjoint of the matrix A. Then use the adjoint to find the inverse of A (if possible). (If…

A:

Q: Find the spectral radius of the matrix T; of Jacobi method for the following lineer system: X1+3x3…

A:

Q: 3. a) At what points does the line x = 1 + 2t, y = 2-t, z = t intersect the sphere x² + y² + z² =…

A:

Q: Use a software program or a graphing utility with matrix capabilities to write v as a linear…

A: The given vectors are:To Do: Write  as a linear combination of , and .

Q: Jane borrowed $500 and paid $525 in total fees on the loan for a sum of $1025 after rolling over the…

A: To calculate the APR (Annual Percentage Rate), we can use the formula:APR = (Interest / Principal) *…

Q: A 3-kg mass is attached to a spring with stiffness 60 N/m. The damping constant for the system is…

A:

Q: Find the volume of the parallelepiped with one vertex at the point (-1,-1,-1) and adjacent vertices…

A:

Q: Use backward-difference formula to evaluate the first derivative of y = x² + 4x − 5 at x = 0 using a…

A: Backward difference formula: