α. Γ(6) 2Γ(3) b. Γ(7/2) Γ(1/2)

Q: Example 4.14. Obtain using Jacobi's method, all the eigen values and eigen vectors of the matrix 1 1…

A: We see that the given matrix is symmetric, that is aij=aji  ∀i, j. A=110.5110.250.50.252 The largest…

Q: Find dim(Q(a)), where

A:

Q: r² = sin 20 - 3cos 0

A:

Q: Use Lagrange Multipliers to solve the following: Maximize f(x, y, z) = 4x + 2y + z 2 subject to x² +…

A:

Q: 1. Transform the following to Laplace equivalent: t 0 5

A:

Q: @ Fs [ f ² (x)} = √√ = Pf (o) - P² Fs {f(x)} proof: How.

A:

Q: 1 Let ƒ(x)=x²e³² the value of — lim[ƒ(x)]¹* is: 1 a) b) c) 0 d) 1 e 1 -19 4e

A: First put value of f(x) in given limit then find the limit as in next step.

Q: f(x) = 3.x-3 et. 1. Using the laws of Calculus, provide the expression for f'(x)- which will be our…

A:

Q: Let f(x) EZ[x] be an irreducible polynomial of degree 4 such that it isGalois group over Q is…

A:

Q: Find the volume using double integration and draw the figure   Thehe solod in the first octant…

A: We have to find the volume of the solid in the first octant bounded by the cylinder x2=4−z and…

Q: Find the general solution of the following Nonlinear first-order ODE.(show the detail of your work).…

A:

Q: B. Directions: Classify each proposition as simple or compound. If it is a compound proposition,…

A: 1. A proposition is a statement that is either true of false. A compound proposition is made up of…

Q: Calculate each of the following. Your answer must be a number. No arithmetic operations are allowed…

A: Given expression is 860!10!⋅850!. We have to simplify the given expression. We know that…

Q: Let R be the region bounded by the functions f(x) = m² and ale) as shown in the diagram below. Find…

A: We have to evaluate the area of the region R bounded by the curves fx=-x2 and gx=2x2-9x using the…

Q: Q3. Find the value of the following integration using Simpson method of integration: dx;n=6 √2x+1

A:

Q: 4. Consider the solid formed by the boundaries outside the elliptic paraboloid = z and inside the…

A: Solution: Given that elliptic paraboloid: x2+y2=zand ellipsoid: x2+y2+z2-2z=0⇒z=1+1-x2-y2

Q: Let C be the curve of intersection of the paraboloid a² + y² = z and the cylinder +(y-1)² = 1 (a)…

A: Given that C is the curve of intersection of the paraboloid x2 + y2 = z and the cylinder x24 + y -…

Q: نقطة واحدة 80,250 * The correct choice to draw the right Arc between points (260,230) and (260,90)…

A: Option 4).Draw-arc-start-center-angle

Q: 8 12 Let V₁ = 2 and v₂ 3 then the geometric description of Span {v₁, V₂} is -6 -9 a) Plane b) A set…

A: v1=2v2/3 Since v1 is a multiple of v2. So Span{v1,v2}= line through origin that contains v1 and v2…

Q: Answer the following and show solutions Given the following systems, 4x1 + 2x2 - x3 = 10 x1 + 3x2 -…

A:

Q: 2. Solve the yk+2+9yk = 4k + cos 3k using method of undetermined coef- ficients.

A: Introduction: All the phrases withinside the connection or equation have the equal traits while we…

Q: Simple problem using inverse of matrix with solution

A: We have to write a problem of the system of linear equations and we will find the solution of the…

Q: 5. Evaluate the following integrals: (a) *³ ** cos(x) dx dy 4y -x²-y² (b) √ √ ² dy dx (Hint: Use…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: find the final value for the 3 z³ +8 F(z) = z³ - z2

A:

Q: 5. Evaluate the following integrals: (a) 6³5 S cos(x) dx dy 4y (b) √ √²-²-²) dy dx (Hint: Use polar…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: The value of the limit lim a) 0 b) 1 c) d) ∞ 1 X x-0 sin x sin x 6 is

A:

Q: Problem 3: 1.4 [x²exdx, n=6 0.2 actual value: 0.3307076 Evaluate the integral using the composite…

A: Simpson's 13 rule can be defined as ∫abydx=h3(y0+4(y1+y3+y5+...++yn-1)+2(y2+y4+y6+...+yn-2)+yn),…

Q: 1. We are revising the catalogue of modules for a programme, so that each student should choose 4…

A: Given: Each student should choose 4 modules. Any choice of 4 different modules is allowed. There…

Q: Find the Laplace transform of the following: 1. f(t) = 5t²u,(t) + 3(t – 4)³u8(t) — 9 sin ( - ) u₁(t)…

A:

Q: a) Evaluate the Riemann sum for f(x) = x³ + x² - 6x +2, taking the sample points to be right…

A:

Q: dx X with initial conditions y = 1 at x = 2.0, produce a numerical solution of the differential…

A: The given differential equation is a linear non-homogeneous first order differential equation with…

Q: Find the independence number, clique number, chromatic number, as well as optimal coloring for the…

A: Solution

Q: Find a Maclaurin series for f(x) = x² e-x giving the first four nonzero terms and the general term.

A:

Q: Let X = {1, 2, 3, 4, 5, 6}. Which of the following could be an equivalence class of an equivalence…

A: Equivalence class on a set

Q: find dy dx 4X y = e sinx XCOSX

A:

Q: -3 5 1 6 2 -2 -5][1 -7 X₂ 9. [X3 - 4 -8 -10

A: Given ,                                                     -3   5-5    1   6-7   2-2  9x1x2x3 =…

Q: Ans Encryt the message GO" by translating the letter, into number, applying the given encrytion…

A: We will use the basic knowledge of number theory and cryptography to answer this question completely…

Q: need details progress

A:

Q: 6. If a series Eu, converges to the sum u then so does any series obtained from Eu, by grouping the…

A:

Q: 2. y'" - 4y" + 5y' – 2y = 7t — 5, y(0) = 0, y'(0) = 0, y'(0) = −2

A: 2

Q: 4,7. Dra 2a + brz lg 2,3.D X7 - lg ZA Z₂² 2.3.0,068 16.0,07.0,7653² Aew2= dew2= 4,7.0,068…

A: A calculator can be used to evaluate complex mathematical expression.

Q: a) rsine de + (r3-2r² cose + cos0)dr = 0.

A:

Q: = a) (x² - 4xy - 2y²)dx + (y² - 4xy – 2x²)dy

A:

Q: I need the answer as soon as possible

A:

Q: Which of the following differential equations can be solved with the method of undetermined…

A:

Q: 2. g(t)= t, (t-7)², (11t - e²1-3t,

A: We will use the definition of Laplace transform and definite integral to find the required Laplace…

Q: Find Maclaurin series for the following functions 1) e-sx Ans. n=0 (-5.x)" n!

A:

Q: The following are pen-tracing puzzles. For each shape, can you find a way to trace the shape without…

A: The Eulerian path for a connected graph is the path along which each of the graph's edges can be…

Q: (d) (i) State the definition of a diagonalisable matrix. (ii) Using theorems from class to justify…

A: A square {\displaystyle n\times n} matrix, {\displaystyle A}, with entries in a field {\displaystyle…

Q: Find the Laplace transform of the following: 1. f(t) = 9t²u₁o(t) + 6(t — 5)³ u₁(t) — 12 sin (-)…

A: