Can I please get further clarification? It is difficult to follow the work and we know for sure a is correct

Q: A subgroup H of a grop G is normal iff           xHx\power{-1}=H  ∀ x∈G.

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Q: Find each of the following antilogs with your calculator (i.e., solve for x in each case). 35.…

A: The given values are,24. 31. 32. 36. 38. We have to find these values using the calculator.

Q: Suppose that W is a subspace of some vector space V. Let u be any vector in W and let v be a vector…

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Q: In photos A and B, find the determinant of the given elementary matrix by inspection.

A: In photo A, we have a diagonal matrix of order 4,Therefore the determinant of this matrix is the…

Q: Suppose that the function g is defined, for all real numbers, as follows. -2 if x1 g(x)= 0 Graph the…

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Q: Solve the ODE x²y"(x)+ axy'(x) + (1+ b²x²) y(x) = 0, where a, b are real parameters, using the…

A: Apply the substitution First, we need to find the derivatives of \(y(x)\) with respect to

Q: Let f(x, y, z) = xy + z³, x = r+s - 5t, y = = 3rt, z = 54. Use the Chain Rule to calculate the…

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Q: Consider the initial value problem my" + cy' + ky=F(t). (0)-0, y'(0)=0 modeling the motion of a…

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Q: Find the length of the curve r(t) = (t², −2t², ½t²) from t = -1 to t = 3. A. 4√/21 B. 2√/21 C. 4 D.…

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Q: The answer is incorrect

A: Yes you are right.In the solution everything was good until the solver replaces the value of , here…

Q: I have the following example from a differential equations course, what I dont understand is how are…

A: The given differential equation is .We have to explain how to use the initial condition.

Q: Show that a normal subgroup is commutative with every complex

A: Claim : A normal subgroup is commutative with every complex.

Q: Let f be a real-valued continuous and differentiable function. Let function g be defined by g(x) =…

A: We have to find  Which statement about this proof is correct?

Q: (2) For every vector u and vector v in se A) True B False

A: Introduction: Vector is a quantity that has both magnitude and direction. Some mathematical…

Q: Give an example of two orthonormal vectors in R³.

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: Let u= (9, 4, 3) and 3). Find a nonzero vector orthogonal to both u and v. Enter your answer as a…

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Q: many of each coin does he nave? 0.05N+0.10D=2.20;N+D=23 Now use the equations to find the number of…

A: We have, This is the system of linear equations in two variablesSubstituting in We get,

Q: 5. Next Monday, Concrete Co need to supply concrete to four different building sites. They prefer to…

A: We shall solve the part b). If you want us to solve the other parts please resubmit or reupload the…

Q: Let W be the set of all vectors C2 C3 CA such that 1-2x2 = 423 and 2x1 = 3 + 3x4 Determine if W is a…

A: Given that W has vectors of form               We have to check that W form a vector space or not…

Q: In Exercises 15-16, determine whether the expression makes sense mathematically. If not, explain…

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Q: Let X = TONT. 1 and 3 0 A = 0 3 1 0 -2 -4 -4 0 3 00 -2 0 0 -4 0 1 -1 01 1 0 0

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Q: how that there do not exist scalars c₁, c₂, and c² such that c₁(1,0, 1,0) + c₂(1, 0, −2, 1) +…

A: Solution :-

Q: Let G be a group and e be the identity   element of G. Then show that the mapping  f:G\rightarrow{}G…

A: Let G be a group and e be the identity element of G. Then show that the mapping defined by…

Q: Use the Principle of Mathematical Induction (PMI) to prove the following for all natural numbers n 1…

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Q: A chemist has three different acid solutions. The first acid solution contains 15 % acid, the second…

A: Given information are :Percent of acid in the first acid solution = 15%Percent of acid in the second…

Q: Find the centroid of the region bounded by the graphs of the functions y=72².y= 2² +3 The centroid…

A: The region is bounded by

Q: he position of a particle is determined by the vector-valued function r(t)=. Find the decomposition…

A: Given position of the particle We have to find the decomposition of the acceleration vector in terms…

Q: [-1 0 87 -4 3 8 -2 07 has a single real elgenvalue λ = 3 with algebraic multiplicity three. (a) Find…

A: The given matrix is and  A has single real eigenvalue with algebraic multiplicity three.We have to…

Q: Solve the initial value problem for dy/dx=y+3, y(1)=-2

A: The given initial value problem,We have to find the solution to the initial value problem.

Q: The non-homogeneous Cauchy Euler equation x²y" + 2xy'-6y=10x² has the solution, (a) y =q₁x² +3…

A: Since we have given options here, we can find the solution by trial and error method.

Q: Write down the dual (no explanations needed) Min w = 2y₁ + y2 + Y3 3y + 5y2-4y3 s.t. (1) (2)…

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Q: that pn+1 an n! azn Pn(cos 0) = (-1)"

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Q: Solve the initial value problem, and graph the solution function (1) x + 4x + 5x=36(1-x) x(0)=x'(0)…

A: The Formula of Laplace transform L[sin(at)]=a/(s²+a²)…

Q: Find the x-coordinates of all critical points of the given function. Determine whether each critical…

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Q: Theta). Find witnesses to show that f(x) = 7x²5x² + 2 is (x¹); (note this is Big

A: Consider two functions f(x) and g(x) .Then  if we can find two positive constants c1 and c2 such…

Q: x-2 7. For the function y=- determine the domain, intercepts, asymptotes, and positive and negative…

A: We have to find the domain, intercepts, asymptotes, and positive and negative intervals .

Q: A certain game consists of rolling a single fair die and pays off as follows: $10 for a 6, $8 for a…

A: To find the expected winning for this game, we need to calculate the expected value. The expected…

Q: A chemist has three different acid solutions. The first acid solution contains 15 % acid, the second…

A: Given information are :Percent of acid in the first acid solution = 15%Percent of acid in the second…

Q: Q2. Set up (do not solve!) a lincar equation to numerically solve the following ODE:…

A: Define the partition We are given that the partition has so we divide the interval  into 5 equal…

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT Find their truth values of the following propositions, using…

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Q: Find an invertible matrix P and a matrix C of the form O B. (Use a comma to separate answers as…

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Q: For the linear programming problem to the right, (a) Set up the simplex tableau (b) Determine the…

A: Given LPP is following :Max(Z)=x+5y-7zsub to : Here introducing slack variables corresponding to 1st…

Q: aph below, sketch graphs of the first and second derivativ ch graph is which. 10- y

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Q: F be eigenvectors of the matrix A which correspond to the eigenvalues A₁ = -3 and X = 2,…

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Q: alculate, to the nearest cent, the future value FV (in dollars) of an investment of $10,000 at the…

A: An investment of at the  per year, compounded weekly ( times/year).We have to find the future…

Q: Discuss the existence and uniqueness of a solution to the differential equation (4+t²) y' + ty' - y…

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Q: 1 0 -2 has a single real eigenvalue A =-3 with algebraic multiplicity three. (a) Find a basis for…

A: First we find the basis for the eigenspace.Then we will check the matrix A is defective or…

Q: Consider the area A of the surface of revolution made by rotating the curvey=cot (x) from z=0 to…

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Q: Let P(x, y) be the equation of the plane tangent to the surface z = x²y at point (1, 2, 2). Find…

A: Given thatLet P(x , y) be the equation of the plane tangent to the surface z = x2y at point (1, 2,…

Q: Use Euler's formula to write the given expression in the form a + ib 2¹-i

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