Use the Gram-Schmidt orthogonaliztion process to orthonormalize the following linerarly independent vectors:   u1 = [1                                                 u2 = [2         3]                                                         -1]

Q: Theorem 6.3. Let a be a real algebraic number of degree n C= = c(a) >0 such that

A:

Q: Green's First Identity Prove Green's First Identity for twice diffe- rentiable scalar-valued…

A: To Prove Green's first identity: ∬Su∇v·n dS=∭Vu ∇2v+∇u·∇vdV.

Q: Question 2. (Answer both parts.) A new weight-loss program is tested on 520 adults in New Jersey and…

A: Given that the weight loss program is tested among 520 adults in New Jersey and found that the…

Q: Prove that for any a, b E R and a <b, ((a, b), ) is not well-ordered, where (a, b) is an open…

A:

Q: Find all Pythagorean primitive triples such that one component is equal to 80.

A:

Q: Let C be the circle |z −1| < 2 taken in the positive sense. Evaluate the integral below

A:

Q: the differential equation = 2

A:

Q: I think there is a typo. It's supposed to say A has no finite subcover since any finite subset of A…

A: R is not compact with standard topology.

Q: The function () is defined by f(t)={-13 1<152 -t-4 with f(t+2) = f(t). Evaluate f(-1.9), f(0),…

A:

Q: The total cost and the total revenue​ (in dollars) for the production and sale of x ski jackets are…

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

Q: - Select the graph below that best represents f(2) = −2sin (2 (æ – 2 n)) – 2 Graph A Graph C -2 /-R…

A: The graph of given function is

Q: A two digit number has x as the unit's digit and y as the ten's digir. It the order of the digits of…

A: The equation is defined as the mathematical statement or expression that represents the two states…

Q: Determine the best and complete answer for the following. Simplify all your answers. If possible,…

A:

Q: Let A be the set of letters in the English alphabet with the usual order. Define ⟨A2, ≤⟩ such that…

A:

Q: Using the Gaussian method eliminate to solve  the following system of linear equations:  [-8 18 0]…

A: The given problem is to find the solution for the given system of linear equations by using the…

Q: 7. Consider the following initial value problem y" - 2y - 3y = -4e¯t, y(0)=0 and y'(0) = 1. Solve…

A:

Q: £.(+). for TS ts......... L 1 +² for of t.<I 2

A:

Q: A = 2 0 1 2 0 0 0 2 For each matrix below find the SVD:

A:

Q: Question. 1) The dimension of the subspace of P3 consisting of all vectors of the form at³+bt2 +…

A: Given that 1) The subspace of P3 consisting of all vectors of the form at3+bt2+ct+d, where b=3a-5d…

Q: Use the cos(x+y) formula and unit circle angles to find the exact value if cos(105)

A: We know that                Cos(x+y)=Cos(x)Cos(y)-sin(x)sin(y) Here we have to find exact value of…

Q: At the farmers' market,  jenna bought one apple and four bananas for $8. At the same stand,  babul…

A: To solve this problem, we need to set up a system of equations to represent the information given in…

Q: c= c(a) >0 such that P

A:

Q: Find f(t). 1 <{{(5+5)3}

A:

Q: a-x a- y = qy px YZ prove that x, y, z are in H.P. If a-z and p, q, and r are in A.P., then If a, b,…

A:

Q: Matea spent $15.00 on protein bars and sports drinks. Each protein bar cost $3.00 and each sports…

A:

Q: The function f(t) is defined as follows f(t)=3-2t+t²,0<t<8. Define f (t), an odd periodic extension…

A:

Q: x+ 5x' + 6x=8 (1-4), x(0) = 20, x'(0) = 7 Solve the above IVP using Laplace Transforms and then find…

A: we have to find the solution of the given differential equation using Laplace transformation.

Q: Let x – ysina – zsinß = 0, xsina + zsiny − y = 0 and xsinß + ysiny – z = 0 be the equation of the…

A:

Q: Find all Pythagorean triangles such that the length of one side is equal to 55.

A: The answer provided below has been developed in a clear step by step manner.

Q: Given below is the second-order system of differential equations:  d2x/dt2 = -x - 3y, d2y/dt2 = -3x…

A: Given: Second-order system of differential equations: d2xdt2=-x-3y, d2ydt2=-3x-y…

Q: Problem: If v is an eigenvector of A with eigenvalue 3, show that v is an eigenvector for B = A²…

A:

Q: 11. Let F: R² R² be defined by F(1,0) = (2,4) and F(0, 1) = (5,8). Find → the matrix A representing…

A:

Q: Show 1) The volume of a regularly bounded body is given by 1 V V = = Note that = x₁е₁ + x₂е2 + x3 €3…

A: To prove : The given two bits of the problem are true.

Q: Suppuse y= X² 7 the region R is boundeel by Curres. 2 ₁ y=x²₂xy = 2xy = 4 + - 1 Find dx dy in terms…

A:

Q: 5. Given the poi arm of angle 90° ≤0180 of cos 0?

A: The answer follows by using the identity sin2x + cos2x=1. Further details are given in the next…

Q: imitregang nom-Mangott let na libe be my and 1(n) be function, we have EX (d) = logn din

A:

Q: Consider the polynomial: f = 2X¹ +aX³ +3X²+bx+c € R[X] with roots X₁, X2, X3, X4 € C. a) Calculate:…

A: The given polynomial is fx=2x4+ax3+3x2+bx+c∈Rx with roots x1,x2,x3,x4∈ℂ. To calculate…

Q: Given the radius of a circle r = 4 cm and the central angle = Calculate the arc length (a) and…

A: The answer provided below has been developed in a clear step by step manner.

Q: Miscellaneous volumes Use a triple integral to compute the volume of the following region. The…

A: Given: Vertices of parallelepiped (0,0,0), (1, 0, 0), (0, 1, 0) ,(1, 1, 0), (1, 1, 1) , (0, 2, 1)…

Q: A. Let H be the set of all points (x, y) in R² such that x² + xy + 3y² = 3. Show that H is a closed…

A:

Q: 8. Sketch a graph of the following function. Label the important values on the horizontal axis. f(x)…

A:

Q: Miscellaneous volumes Use a triple integral to compute the volume of the following region. The…

A: Given: Vertices of parallelepiped0, 0 ,0, 2, 0, 0, 0, 2, 0,2, 2, 0, 0, 1,1, 2, 1, 1 0, 3, 1 and (2,…

Q: 1.) For each pair of matrices A and B below find out wither the moduct AB is defined. If it is, find…

A: The given problem is to check whether the product of given matrices is defined , if it is then find…

Q: Apply householder reflectors to find QR-factorization tt of A = [ 23 -1 ] such that A= QR when Qis…

A:

Q: Determine the following three vectors {, , } forms a basis for R^3. Expalain your answer.

A: Answer  Given  &lt;2,1,0&gt; , &lt;4,2,2&gt; and &lt;-2,-1,3&gt;  Let check whether they are…

Q: e) Find the sum of series 13 1³ +23 13 +2²+3³ + + 1 1+3 1+3+5 + ...... m - terms

A: A

Q: d 3. Find the herrel of the linear transformati L: R³ R³ with matrix 2 5 1 390 1 4 -1

A: To find kernel, we have to find null space of corresponding matrix.

Q: +88 GOZZYTHAI LI... ? Help

A:

Q: Suppose an ellipsoid is described by the equation + 16 9 4 volume of the ellipsoid on the first…

A:

Q: Looking for a example problem not a answer to the problem that is given.

A: