The product of x++ x³ + 2x² and 2x² + 4x + 6 in z, [x]/< x5 +1>is: 4x+1 X^2+2 5x^2+ 5x +1 None O

Q: Find the wronskian of f1= x2-6x, f2=x2+6x, f3= x2-3

A:

Q: orward step siz

A: Solution: y=f(x)=sin(0.5x)x

Q: 4 The area of the surface S = {(x, y, z) € R³ : z — 5 — z² - y², z ≥ 3} equals (A) 4T (B) (C) (D)…

A:

Q: Evaluate the circulation of Gayi + zj+5yk around a square of side 9, centered at the origin, lying…

A: Solution :

Q: Use Gerschgorin's theorem to show that the largest-modulus eigenvalue λ, of the matrix 4 -1 A = -1 4…

A:

Q: I. Find the general solution of the following: 1. dy - 2x²¹ dx y 2. dx = xy dx 3. dy = (6e³x + 1)dx…

A:

Q: dy Write down a differential equation of the form dt 13 solutions all approach y = as t → ∞o. 14 y =…

A: To answer the given question we will solve the differential equation dydt=ay+b and find the values…

Q: Evaluate the integral: si, sze fr3 tinutan's ds du dt ㅋ

A:

Q: what is the vertical intercept of (1,750) and (2,562.5)

A:

Q: Suppose that f: A → R is continuous at a number a E A with f(a) > 0. Show that there exist numbers L…

A:

Q: 3. Set-up the iterated double integral in polar coordinates that gives the volume of the solid…

A:

Q: 20 j ΣΣ (2k + 3) = j=5 k=0 = 2n+3 Σ (n + 5k)3 k=0 first step 2nd step final answer first step and

A:

Q: Find the area of the region bounded by 2x and the y-axis using the horizontal strip. 3 y²+1

A:

Q: Solve the boundry-Valued PDE 24 = 4 ठेप by ulo¹y) = 8e³y using the genral method ans: u(x,y) = 8…

A: The given PDE is                                ∂u∂x=4∂u∂y with                      u(0,y)=8e-3y

Q: Identify the surfaces of the following equations by converting them into equations in the Cartesian…

A:

Q: 10 [ Σ 15m3 n=m =

A: Given summation is ∑m=11015m3 we can write it as 15∑m=110m3         (1)

Q: [2 4 11 Q1/ Find the determinant of the matrix 3 8 5 16 2 41

A: Solution :

Q: x ди дх ди : u + У бу u+y

A:

Q: Find the eigenvalues and corresponding eigenvectors for the matrix 8 -8 -2 A 4 -3 -2 3-4 1 Write…

A:

Q: Hand written plz ery n e Z. epimorphism and f(n) = g(n) for all ne Z, then f= g.

A:

Q: A third-order system is modelled by the state-space representation -2 -2 0 [10] x = 0 0 1x + 0 1u 0…

A: Here, we are given with third order system.

Q: 3s3+3s ენ

A: Here the aim is to find the inverse Laplace transform of                 L-1{3s3+3ss6}    using the…

Q: Evaluate the integral: ₁f2ef/³t Inu tans ds du dt 2е π/3. 't

A: To Find:∫-10∫e2e∫0π3 t lnu tans ds du dt

Q: The equation y = O A. y" - 3y + 10 = 0 O B. y" - 3y + 10y = 0 O C. y" + 2y + 10y = 0 O D.y" - 2y' -…

A:

Q: Your swimming pool containing 80000 gal of water has been contaminated by 8 kg of a nontoxic dye…

A:

Q: Using integration solve for an elliptical plate, major axis 6 ft minor axis 4 ft is submerged…

A: Given that the major axis of elliptical plate is 6 ft That is 2a=6⇒a=3 And the minor axis of…

Q: k ΣΣ8.5 = k=4 j=4 = = n k 2j ΣΣΣn= k=4 j=7 h=6 = || = first step 2nd step 3rd step 4th step final…

A:

Q: Show that in any collection of 7 or more natural numbers there are ALWAYS TWO numbers whose sum or…

A: Here we use Pigeonhole principle to prove the statement.

Q: Find the area of the region bounded by the curves y = (x+8)2 y = 4 and the x-axis using vertical…

A:

Q: (a) Find the SVD form of the matrix [1.2 0.9 -4 A = 1.6 1.2 3 (b) Use the SVD to determine the…

A: Problem is solved using concept of SVD, eigenvalue and eigenvector.

Q: I. Solve the following Linear Systems of Equations by Gaussian Elimination: 1.) 6x + 2y4z = 15 -3x -…

A:

Q: If 0±x#1 in a field R, then x is an idempotent. но чо

A: Only idempotent element in a field are 0 and 1

Q: 6. Evaluate the line integral y dx + xy dy where is the rectangle with vertices (0,0), (5,0), (5,…

A:

Q: For each of the differential equation determine the order of the equation and if the equation is…

A:

Q: Evaluate the double integral: Y [CZ (Hint: Change the order of integration to dy dx.) dx dy. y¹/3 x7…

A: We have to evaluate the double integral by changing the order of integration. ∫08∫y132 yx7+1 dx dy…

Q: Solve the following differential equations, giving y in terms of x. dy (ii) (x + 1)- - (x + 1)5 =…

A:

Q: Determine the magnitude of the vector difference V' = V₂ - V₁ and the angle 0x which V' makes with…

A:

Q: Define a relation T on R by xT y if and only if (sin^2) x + (cos^2) y = 1. (a) Prove that T is an…

A:

Q: Find the volume of the solid generated by revolving the region bounded by 2y = e-x², the x-axis and…

A:

Q: 1-x² 1. The curve C has equation y = B (i) Express 1-x² 1+x² in the form A + where the values of A…

A: The given curve C is:                                      y=1-x21+x2

Q: (f) What is span(q, r)? (g) What is span(q, r, s)?

A: We have q=z2-1r=2z3-2s=z2-2z+1 All vectors are from vector space P3ℝ Solution f:…

Q: Q1 full a Prove the following using the principle of mathematical induction. For n > 1, 1 1 1 1 = +…

A:

Q: In which of the following cases the set V together with the standard operation of addition and…

A: As per our company guidelines we are supposed to answer only one question first with its three…

Q: Find the area of the region bounded by the curves 1 y = 2 y = 4 and the x-axis using vertical strip.…

A: We have to solve given problem:

Q: Show your solutions to the following using Bisection Method and False Position Method. Write legibly…

A: As per the question we are given the following function : f(x) = 3x + sin x - ex And we have to find…

Q: 5 The inverse Laplace transform of the function sin(2t) (A) 1 – 2 sinh(2t) (B) t- 2 sin(2t) (C) t- 2…

A:

Q: 1. An electric utility company is required to run a cable from a transformer station on the shore of…

A: An electric utility company is required to run a cable from a transformer station on the shore of a…

Q: Sometimes it is possible to solve a nonlinear equation by making a change of the dependent variable…

A:

Q: 5. Use Cartesian coordinates to evaluate Jff ² av JIJ where D is the tetrahedron in the first octant…

A:

Q: For nos. 1 and 2, use separation of variables to find a product solution to the following: ди 1. ди…

A: