Use Gram-Schmidt to find q1, q2, q3 (orthonormal) as combinations of a, b, c (independent columns). Then write A as QR: [1 2 47 A = |0 0 5 = 0 3 6 QR

Q: 3x, - 2x, = 2 12. X, + 3x, - X3 = 5 3x, = 5 X2 + 2x3 = 1 ether the matrix is strictly diago-

A: We can solve this using gauss seidel method and strictly diagonally dominant matrix,

Q: and D. n³/2 1 1. Does this series converge or diverge? ? n1 Vn +1 00 n+2 2. Does this series…

A:

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

A: To find the volume of the solid that is obtained by rotating the region bounded by below equations…

Q: A = -1 7 a 8 -7 а find all values of a that make |A| = 0. Give your answer as a comma-separated…

A:

Q: The graph of the solution region for a system of inequalities is shown below. 15 14 13 12 10- 7 6

A:

Q: Reduce the matrix -1 2 -2 2 A = 3 3 -1 3 2 21 to reduced row-echelon form. -1 2 -2 2 1 4 19 1 4

A:

Q: Prove that for any integer NTX sin? dx = L. -L

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: the region in the first octant bounded by the coordinate planes and the surface z= 64 - x2 - y.…

A: Volume of a solid using triple integral is given by  V=∬∫V dzdydx

Q: 1. (D²+6D+9)y = e* (Use Reduction of Order Method)

A:

Q: 4. Let bo = 1, bị = 3, and for each integer k > 2, we have %3D br = 4bk–1 – 4bj–2 Prove that for all…

A:

Q: 0se the ratio test to determine whether the series Convergent cr divergent (-1)-1 2"n3

A:

Q: In year 1931, the population of Sri Lanka is 24M. in 1945, its population rise to 82M. Assuming that…

A:

Q: Consider the solid G bounded above by z =sqrt(4 − x^2 − y^2) and below by z =√3. Let σ be the…

A:

Q: Which of the following is NOT a correct way to express the vector v = (2,-4) a) 2î - 4 where î =…

A:

Q: A glass window has the shape of a trapezoid with height 4m, width at the top of 5m, and width at the…

A: We have to find the hydrostatic force on the window in Newtons

Q: Solve the following differential equations of -2 x*y"+6xy' + 6y = x²

A: We have to solve the following differential equation x2y''+6xy'+6y=x-2 .

Q: y" – 6y' + 9y = 3t2 +1- 6e3t

A:

Q: Use this contour map for the function f(z, y): 8- 40 6- 30 5- 20 50 5 5 -4 to estimate: f(3, 6) a

A: To estimate: f(3,6) by observing the given contour map.

Q: For the base function f(x) = x2 , a reflection in the y-axis is followed by a reflection in the…

A: The graph of y=-f(x) is the reflection of the graph of y=f(x) across the​ x-axis. The graph of…

Q: Find the area of the ellipse cut from the plane z= 8x by the cylinder x +y = 4. Surface area = (Type…

A:

Q: Evaluate 2dy/dt + y = 0, y(0) = -3 Select the correct response: O y = 3 e^(t/2) O y = 3 e^(-t/2)…

A:

Q: 5. Let ni < n2 < n3... be positive integers, and let E = x E [0, 27]; sup converges. Show that E has…

A: Given :  n1≤n2≤n3 ...  be the positive integers and E be the set defined as ;                E =…

Q: FIND INVERSE LAPLACE TRANSFORM, USE THE LAPLACE OF INTEGRALS where k > 0. s(s-k)'

A:

Q: 3. One way to mathematically represent the interaction between two phenomena, processes or…

A: We will construct a system of differential equations to represent the progression of an infectious…

Q: 8. A lamina occupies the top half of the disk x +y? < 4. The density at any point on the lamina is…

A: If density of a lamina represent by region E  is ρx,y mass M=∫∫Eρx,ydA

Q: 2. Let x, y be real numbers. Determine which of the following statements are true. For those that…

A:

Q: Which of the following is NOT a correct way to express the vector v = (2,-4) %3D a) 2î - 4 where î =…

A:

Q: Let D, be the linear transformation from C'[a, b] into C[a, b]. Find the preimage of the function.…

A: Given Dx be the linear transformation from C'[a, b] into C[a, b]. We find the preimage of the…

Q: Find the In Verse Laplace TransForm1-1 2t -3 Ans. f(t) =: (e +e2s - 3e 3s -6s 21> 0.

A:

Q: Evaluate Laplace of [9e^-5t + 2e^3t + 6t^3 - 10]

A:

Q: SOLVE STEP BY STEP SOLVE STEP BY STEP PLEASE VVvvVVVVVvVVVvvVvvvvvvvVVVVVVvVVvvvvvvvyvvvvvvyvvv Let…

A: Given :  A be any commutative ring with unity 1. To prove : (a) Prove that A is a finitely generated…

Q: Find J29 by Newton-Rap h son method ( E 0.000l

A: Find the appropriate value of square root of (29), using Newton Raphson method

Q: Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding…

A:

Q: 8. Evaluate the Riemann-Stieltjes integral cos(r) do(x) where a(r) = E1 2 "I(x – n '). %3D

A: Given integral is  ∫02cosxdαx where αx=∑n=1∞2-nIx-n-1

Q: Invalidity: Use the finite universe method to show that the following symbolic arguments are…

A:

Q: Determine if the arguments are valid or a fallacy. (a) If you finish the test, you can leave carly.…

A: As per our guidelines we are supposed to answer only first part. Kindly repost other parts in the…

Q: a2y" - 5ary/ + 8y= &z$, y(글) =D 0, y'(글) = 0.

A:

Q: 8. A lamina occupies the top half of the disk x2 +y? < 4. The density at any point on the lamina is…

A:

Q: (a) Give a formal definition of the first partial derivatives of the function f(x, y), and its…

A: (a) A partial derivative of a function of two variables is its derivative with respect to one of…

Q: Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F = (y-…

A:

Q: 2. What would be the order and degree of the differential equation (e) + 11/3 = 0 a²y

A:

Q: What symmetry is present in the strip shown above? O Horizontal reflection O none of the choices O…

A:

Q: 4.2 А Minimize C= -2r – 3y subject to 3x + 4ys 24 7x – 4y s 16 x20, y z 0 Screen clipping taken:…

A: (A) The given L.P.P is          Minimize C=-2x-3y           subject to…

Q: tw.t Find the Volumes for the fallowing solids heishts are defined by ZCX,y) and bases are the…

A:

Q: a. According to these projections, when will the colleges have the same enrollment? What will be the…

A: in college A number of enrollment increases per year is 900. after x years students = 15,600+900 x…

Q: In t+1-2 dt, if we let t+1-2, then dt is equal to A 2(x2+2)dx (в 4x³dx O 4x(x2+2)dx D None E…

A: Option C is correct.

Q: 1 9 (c) 0 0 O The corresponding system has no solution, }. O The corresponding system has one…

A:

Q: a solid is obtained by rotating the region bounded by the curves x = 29, y = -x, and y = 4 about the…

A: Here, we need to find the solid that is obtained by rotating the region bounded by the curves x=2y,…

Q: 2. Let x, y be real numbers. Determine which of the following statements are true. For those that…

A:

Q: Write the augmented matrix of the system and use it to solve the system. If the system has an…

A: