VECTOR DIFFERENTIATION:   If d(^2)A/dt^2 = 6t i - 24t(^2)j = 4sintk, find A given that A = 2i + j and dA/dt = -i – 3k at t =0.

Q: dx x* + 2x - 3

A:

Q: Consider the following IVP: x" - 4x' + 4x = 4e2t; x(0) = -1, x'(0) = -4 Find the general solution. A…

A: Given Differential equation is x'' - 4x' + 4x = 4e2t

Q: Question Consider the graph of f' (x) shown below in blue. Submit your answer to this question by…

A: Here we have to use relation between graph of f(x)  and  f'(x) .

Q: {3*} |리 > 3 z – 3 |리 > 3 z – 3 - |z| > 3 z + 3 - Z |리 > 3 z + 3

A:

Q: (ED- Let T: R3 → R³ be a linear operator defined by T 2z a) Show that T is a linear transformation.…

A: Given : T:ℝ3→ℝ3  defined by ;  T(x, y, z) = (x-y, -z, 2z). a) we have to show that T is a linear…

Q: Which of the following is the general solution to the differential equation dx + 2x = 2x²y²dy ? %3D…

A:

Q: Which of the following is the general solution to the differential equation (3х — у + 6)dx + (6х —…

A:

Q: Given the following, determine the solution vector using least norm solution. 2 -1 1 3 3 0 -2 5 1 -2…

A:

Q: Find a linearly independent set of vectors that spans the same subspace of R' as that spanned by the…

A:

Q: Laplace A H(s) %3D s2 –9 s2+9 B H (s) s2-9 s2+4 3 3 C H(s) + s2-4 s2+4 6. H(s) + s2+4 s2-4 2.

A: Given function is h(t) = 3sinh(2t) + 3sin(2t)

Q: le al 35. (a) Show that the eigenvalues of the 2 × 2 matrix |a b A = are the solutions of the…

A: As per the company rule, we are supposed to solve one problem from a set of multiple problems.…

Q: Given the matrix below and its corresponding rref(A) and rref(A') 1 0 0 0 -2 8 -1 -3 100 0 0 0 10 0…

A:

Q: What is the volume of the following solid: above the cone z = /æ² + y² and below the sphere x? + y?…

A: The conversion of cartesian coordinates into polar coordinates is x=rcosθ & y=rsinθ. Sum of the…

Q: What is the Laplace transform of f(t) = te? A. s + es B. 1/(s+1)? C. 1/(s-1)2 D. s2 + es %3D

A: This is a question of Laplace transform.

Q: (1.3) Using part (1.2), find the "negative" of C): Explain clearly.

A: Introduction: In a vector space, zero vector is very significant. Under the operation addition, zero…

Q: lestion 25 Consider the following IVP: y" + 3y' + 2y = 12x?; y(0) = a, y'(0) = b

A:

Q: Question 9 Let L be the line passing through the point P-(3,-5, 4) with direction vector d=[-3, 1,…

A:

Q: Verify Stoke's theorem for the vector field F = (2x - y) I– yz"J - y z K over the upper half surface…

A:

Q: . Prove that if m is a positive integer, a# 0 mi is a positive integer, a# 0 112 T (n(a)

A:

Q: nown belOw: [5 31 T -41 by L-3 -2] [ 3] А. 1-11 6| В. |11 c. |-11 6| D. |-11 -6

A: Given matrices are 53-3-2   and  -43

Q: 5. when: Let be a relation where R = {(a, b): pair a,b are cross streets in city A}. Sh (a) (a, b) e…

A:

Q: QUESTION 6 Find Ax B (Matrix Multiplication). 6 6 1 6 5 -1 3 4 B =| 2 -2 6 5 -3 5 3 -6 2 2 4 -4 A =…

A:

Q: by f(x) = (x2 + 1)35 for all x e Ris A. One-One but not onto B. onto but not one-one C. neither…

A: Given f(x) = (x2 + 1)35

Q: 4. ".p>-1

A:

Q: converges weakly to x in a normed linear sp

A: We given that ( xn ) is a weakly convergent sequence to x in normed linear space X , then we have to…

Q: MO21. Many cardiac patients wear an implanted pacemaker to control their heartbeat. A plastic…

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: Two secants ABC and ADE are drawn intersecting the circle at B, C, D and E. The angle between the…

A:

Q: 2.45 A reinforced concrete column 200 mm in diameter is designed to carry an axial compressive load…

A:

Q: L = {cos² (3t)} L = {e-#£} 1 s2+72 (s+3)³ 1. 2s 2 - 2s2+72 (s+3) 1 2 2s s2+72 (s+3)² 1 + 2s 2s2+72 2…

A:

Q: Find dy/dx for y = J_1P+4 t2 dt t2+4 X. 3

A:

Q: a) Compile the above propositions into a new knowledge base written in disjunctive form. Number the…

A: This is a problem of Logic.

Q: Find the eigen values and eigenfunctions the Sturm-Liouville problem : yu +Aj =o Yco) = 0, Y(7) = 0…

A:

Q: 4. Find the approximate area under the curve f(x) = x³ – 3x² + 7 on the interval [0.97,3.4]. Use…

A:

Q: 2. Suppose that V and W are vector spaces over F. Consider the cartesian product V x W, with vector…

A:

Q: Solve using Gaussian Elimination with back-substitution or Gauss Jordan 5x1 + 2x2 + X3 = 0 2x1 + x2…

A:

Q: An airline offers coach and first-class tickets. For the airline to be profitable, it must sell a…

A:

Q: 1) Let f(x) = |x|. Determine the fourier series given by: %3D f(x) = bn cos(nrx) n=0

A:

Q: 1. (50 points total) Let -2 -3 -1 -3 -2 -1 1 3 B = 3 1 -3 Perform all computations by hand. (a)…

A:

Q: (a) Identify the curve r = 4 sin 0 – 2 cos 0 by finding a Cartesian equation of the curve. (b) Find…

A:

Q: Find the Inverse Laplace Transform of* s2+4s+4 te (A) -21 te D 1²e-' 2. 2. B.

A:

Q: Evaluate the iterates integrals r'dA D = {(r, y) : 1 < x < e, 0<y S In(z)} %3D

A:

Q: Find the Laplace Transform of f(t) = cos? 3t

A:

Q: The functionf:R->R defined by f(x) = (x2+ 1)35 for all x e R is A. One-One but not onto B. onto but…

A:

Q: Find the Inverse Laplace of the following and show your complete solution F(s) = 5- 2s s² + 25 + 9

A:

Q: Question 8 6 1 4 Find the Inverse Transform of F (s) = - - S S-8 s- 3 A f (t) = - 6+e +4e -31 (в B f…

A:

Q: Let ƒ : R → R be defined by f(x) = 1 – 5x. Is f a linear transformation? a. f(x + y) = f(x) + f(y) +…

A: Substitute x+y for x in the equation fx=1-5x and simplify to calculate the value of fx+y.…

Q: dy What is the general solution to the differential equation -y = (2) sin x ? %3D dx y = x?(2x cos x…

A:

Q: Complex Numbers Evaluate the following: a. √(-2)(-18) b. 3(cos 120°+jsin120°) x 5(cos45°+jsin45°)…

A:

Q: Compute the first derivative of y = 2x^4 - 6x^3 - 12x - 8 at the point x=0 based on the value at xo…

A: Five point FD Approximation and CD Approximation:--- ..  I this Error is 0%

Q: Find the solution: y" + 3y' + 2y = 12x2; y(0) = a, y'(0) = b

A: We have to find the solution to the given equation.