Solve the nonhomogeneous y'+ 2y equation

Q: 8 Suppose [g(x)dx =5 , and [g(x)dx =-3 , find the value of 2g(x)dx 8

A: We have to find the value of integration.

Q: Rotate the region bounded by y= x- 2x + 4 and y X+14 about the X- axis

A:

Q: Compute the left regular representation of the group G = {e,a, b} given by the group table below by…

A:

Q: L(sin² at)

A:

Q: Find a parametric representation of the solution set of the linear equation a +y+z=1 O =1+8+t, y= s,…

A:

Q: Consider the series E 1+ n=1 (a) Find the series' radius and interval of convergence. (b) For what…

A: We have given a series ,  ∑n=1∞ 1 + 1nn x7n (a) We need to find interval of convergence and radius…

Q: Q1. Test the convergence and diver (2+5" 2. En=1 (2n)= n!n! 1. Σ-0 Inn 6. Ln=1 (comparison test) 7.

A: Our guidelines we are supposed to answer only one question. Kindly repost other question as the next…

Q: Use Stokes' theorem to evaluate ∬S curl(F) · dS. F(x, y, z) = xyz i + xy j + x2yz k,    S consists…

A:

Q: 1. Represent the following equation in R² by a vector-valued/parametric equations: 2x? + 2y? – 2x +…

A:

Q: Q8. Determine u(0.4), using the fourth order Runge-Kutta method, given that u' =, u(0) = 1. Compare…

A: Given: u'=tu To find: Absolute error, percentage error

Q: Matrices A and R are defined below. Martrix A is row equivalent to matrix R, that is, A = R. (Do not…

A:

Q: 16. lim (2 – 3x) = –4 x 2 %3D

A:

Q: Question 2. (7 Points: 3+2+2) (a) Prove that if a and y are rational numbers then x+y is rational.…

A: (a) To prove: If x and y are rational then x+y is also rational. (b) To prove: If x is irrational…

Q: n! En=1 00 is 2.5.8..(3n+2)

A:

Q: 3. Find the inverse Laplace transform of the ff. а. (s+1)(s+2)2 10 b. s(s+2)(s+3)2

A:

Q: +) Use the Euler methad's Salvetue:. C1 )りy=eッh=o.2

A: Euler method, numerical solution of the differential equation

Q: Consider the integral liz|3 - +z dz (a) Compute the above integral when I is the circle |2| = 2,…

A: We have to find the integral ∫τiz3+zdz when τ is the circle z=2 (a) traversed once counterclockwise,…

Q: Suppose a windmill has a radius of 1 meter and the center of the windmill is (0, 0) on a coordinate…

A: We will find function for height and then draw corresponding graphs

Q: Suppose z = a+ bi, w = u + iv, and

A:

Q: solve atteched simultaneous total differential equation

A:

Q: Logical Equivalence 1. Show that p J (q V r) and (p l q) V (p l r) are logically equivalent using a…

A:

Q: . Let a be any non – zero vector in V and let p. be the T – annihilator of a. (i) The degree of pa…

A:

Q: (a) Evaluate the integral (cosx+ (b) Find the total area between the region and x-axis…

A:

Q: I. In a particular very small region, the consumer price index, C, depends on the current value of…

A:

Q: Consider the group D4 = (a, b) = {e = (1), a, a², a³, b, ab, a²b, a³b} %3D where a = (1 23 4) and b…

A:

Q: Let U={a,b,c,d,e,f.g,h,k}, A={a,b,c,g}, B={d,e,f,g}, C={a,c,f} and D={f,h,k} 1. Compute: a.) A U B…

A:

Q: dY Consider the linear system: dt Y. (a) Show that the two functions Y1(t) = () and Y2(t) : 2t) are…

A:

Q: 1.37] Consider the following problem: Мaximize subject to 3x1 -X1 -2x1 + 6x2 + 2x2 < 2 + X1 X1, 2x2…

A: 1st we will draw graphs for constraints and then use corner points method to find optimal solution…

Q: 4. Refer to the IVP in Section 3.2 - Exercise 4 (previous page) Sketch the solution curves in the…

A: We can solve this using given information   Sketche

Q: ) Find the transition matrix from the ordered basis of R? to the ordered basis of R².

A:

Q: how that , Oi – y)² = , &i – y)? + E, Vi - ŷa %3D1 =D1

A:

Q: Use the method of disks/rings to determine the volume of the solid obtained by rotating the triangle…

A: We will find equation of boundary lines of triangle and then shade the region . Then rotate region…

Q: (a) Find r()of the vector- valued function (b) Evaluate the integral of the following vector- valued…

A: This is a problem of Vector Calculus.

Q: +00 1 dx xln*(ex) 4 e

A:

Q: I 6. Use the t-shifting theorem and your answer to Question 3 to find the inverse Laplace trans-…

A: Forst we will use the t-shifting theorem of inverse laplace transform then linearity property of…

Q: Solve the system of linear equations using iterative methods 6x1 + 2x2 + X3 = 26 2x1+ 8х2 - 2x3 - 24…

A:

Q: 1. Let V (x, y) 1+ x2 + y 1+x² + y* and let F(t) = x(t)î + y(t)ĵ where cos(t) (cos (t) + cos²(t)(2…

A:

Q: [B] Solve the transportation problem (find initial basic solution with VAM and optimal solution…

A: We have to solve the given transportation problem.

Q: (a) Find the Taylor's series for the function f(x)= sin x at x = (b) Using L'Hospital 'rule to find…

A:

Q: Compute for the inverse Laplace transform of Y (s) = (s+2)³ * 3 e-2t+2 e-2tt e-2442

A:

Q: 1. Given the vector u = (2,0, 1). (a) Solve for the value of a so that u and i = (a, 2, a) form a…

A:

Q: Identify integrals of following functions using Cauchy's integral formula/theorem 2z+3i A. f(z) = Jc…

A: We have to find the values of the integrals using Cauchy's integral formula/theorem.

Q: x2 = 2 - y and y =x – 1 are bounded. Identify its area. Vertical strip A = (Vu - yı) dx Horizontal…

A:

Q: 5. Consider the same data points (t, y) t 1 2 4 8. Construct a linear polynomial that best fits the…

A:

Q: 4s+2 1. F(s) = s² +6s+34 1 2. F(s) = (s-2)(s-4)(s-8)

A:

Q: dw dw and + Arc tan z. Get the partial derivatives given that w = dx' dy dz

A:

Q: The size of an unborn fetus of a certain species depends on its age. Data for Head circumference (H)…

A: Given that H = -30.98 + 1.822t2-0.9193t2log(t). Where t is age in week.

Q: Let b #0 and for j = 0, 1, 2,., n, let S, be the area of the region bounded by the y-axis and the…

A:

Q: Question 3. Prove the vectors m = (0,5) and n = (-2,1) span the vector space R?, or find a vector…

A:

Q: e the boundary value problems in Problems 1 through 12. Зи хх, 0 0; и(0,t) — и(л, t) — 0, и(х,0) —…

A: Boundary value problem