ty'' +(2t - 1)y' - 2y = 5t² e -2t. A general solution is y(t) = Y₁ = 2t - 1, Y₂=e-2t

Q: .. Solve the following differential equation using the indicated method. (c) y" + 3y' + 2y = 3e-2x +…

A: We now solve the equation y"+3y'+2y=3e^(-2x)+x by the mathod of variation of parameters.

Q: 2 Find the volume of the parallelepiped whose edges are represented by A = î - 13ĵ+ 4k, B = 3î + 2ĵ-…

A: Follow the steps.

Q: Use the Newton-Raphson method by finding the next iterative value of the root of f(x) = x4 + x - 1,…

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Q: Evaluate ff.dS, where (a) v = (xy, -x², x +z) and S is the part of the plane 2x + 2y + z = 6…

A: Problem is solved using concept of double integral.

Q: 2 Find the volume of the parallelepiped whose edges are represented by |A=î - 13j+ 4k, B = 3î +…

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Q: Identify the relation on set (1,2,3,4} if it is reflexive, symmetric, antisymmetric or transitive.…

A: We know that , relation is relationship between sets of values. A binary relation R defined on set A…

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Q: Using differentiation rule, find the derivative of the function ƒ (²) = [2 + (² ² + 1)²³ at _z = 1 +…

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Q: ***** 7. Let n be a positive integer. If = {A1, A2, , . 8. If the sequence of sets An) is a field…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for…

Q: 2. Evaluate the double integrals by iteration. whre B is the region 0≤x≤ 1, ² ≤ y ≤I dA

A: We have to find double integration by iteration for given integral..

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Q: . -15-10i to Polar form 2. -20+25i to Polar form

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Q: [1-j 1-j 1+j GIVEN: B= 2 j 1+j j j 1 FIND: DET B. A) 4 + 6 j B) -4+6j C) 4-6 j D) -4 - 6j E) NONE

A:

Q: Determine the Fourier series of the periodic function shown in Figure 2.1. 1.5 f(t) 1 0,5 0 -0.5 -1…

A: The given problem is to find the Fourier series expansion of the given periodic function with given…

Q: Prove that the given function u / v are harmonic; then find the conjugate harmonic function v / u.…

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Q: Solve 2 [-[-530] = x(0) = 6, y(0) = = - 22 10 1 [3] 1-18-18- 16 = +

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Q: QUESTION FIVE   A company offer annual payments of $1675 at the end of each year for the next FIVE…

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Q: . If we did not have logarithmic differentiation, what rules would we need to use to find the…

A: Solution

Q: Find the volume of the parallelepiped whose edges are represented by A=i-13j+ 4k, B = 3i+2j-7k and C…

A:

Q: Using the Method of Undetermined Coefficients, determine the form of a particular solution for the…

A: The solution of a nonhomogeneous differential equation is obtained using the method of undetermined…

Q: Solve the system as matrix equations using inverses -2x1 + 6x2 = 6 3x1 +2x2 = 13

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Q: If the slope of the line (k+1)x+ ky - 3 = 0 is -2, find k.

A:

Q: Question 2 Determine the Fourier series of the periodic function shown in Figure 2.1. 1.5 f(t) 1 0.5…

A: The given problem is to find the Fourier series expansion of the given periodic function with given…

Q: Evaluate f(x)=√x + cos²x from 0.4 to 2 using Simpson's rule. with eight segments. Round off all…

A: Given,y=f(x)=x+cos2(x)3from -0.4 to 2 , with 8 segment

Q: Find the volume of the parallelepiped whose edges are represented by A=i-13j+4k, B = 31+2j-7k and…

A:

Q: Find the angle between A and OB and B (2, 2₁-1) where 0 (0,010) A(0,5,7)

A: The given problem is to find the angle between the given vectors OA and OB where with the given…

Q: d spent 4/5 of his money

A: Part 1. Given that Dad spent 45 of his money on gas for his car and 12 of the remainder on…

Q: 5. Use the inverse of the matrix [32¹] to solve the system 3x1 x2 = 9 3x1₁+ 2x2=1

A:

Q: 11. Find the value of m, such that D1, D2, D3 meet each other at one point. D1: x - y = 1 D2: 2x + y…

A: Given system of equations D1 : x-y =1D2 : 2x+y =5D3 : 2m-5x-my =3

Q: ƒ(z) = 1 1+|z|2

A:

Q: ? Exercise 15.5.7 The horn torus given by the equation p = sin() is shown below. Find the volume of…

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Q: Show that the area of that portion of the surface of the paraboloid x² + y² = 4z included between…

A: Here we need to find area between given plane and x*x + y*y = 4z

Q: Truth Table. Construct a truth table for the given compound propositions. (q^rv (pq)) → ¬pvr

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Q: A statistical study found a correlation between the percent of family income spent on food and the…

A: It is an example of a common-cause factor as the correlation between the percent of family income…

Q: Consider the system 3x + 7y + 13z = 76 x + 5y + 3z = 28 12x + 3y - 5z = 1 1. Use any direct method…

A: As per the policy of bartleby the provisions is to solve only one question at a time now I am…

Q: (b) Which one of the following differential equations can be solved using the substitution approach?…

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Q: Determine whether the given functions are linearly dependent or linearly independent on the…

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Q: 6. Consider the circle in the figure below. y 2 What is the nau -2 0 2

A: First we find the centre and then radius of circle by Pythagoras theorem to find the equation of…

Q: 3.4.8 Show that the sphere x² + y² + z² = 1, z ≥ 0. JJ,z²dS=, where S is the surface of

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Q: Consider the following graph G = (V, E) 1. List all nodes of G. 2. List all edges of G. 3. Let C…

A: # As per the guidelines we are entitled to solve three subparts at a time please resubmit the other…

Q: . We fit a model V aPb to the data below using the least squares criterion. Vi Pi 2.27 2500 2.4 1000…

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Q: D = {2€ C: 12-1+i/ 2} C. of D?

A: For any complex number: z=x+iy, it can be written that: z=x2+y2.

Q: Use the method of undetermined coefficients to find a particular solution to the given higher-order…

A:

Q: ap to the data below . We fit a model V = using the least squares criterion. Vi Pi 2.27 2500 2.4…

A: As per the question we are given a data table. Which we have to convert in log scale and then use…

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Q: 3.4.13 Verify the divergence theorem [[ F. JS = [] F.dS div F dV S for F = 4xi-2y²j+z²k over the…

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Q: 12. Find the area of the triangle bounded by the lines y=x+3, y=2x-1 and y=-3x+4

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Q: س (Laplace transform method) حل نمائید. (x) = = - [ (x -tut )dt 6

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Q: whre B is the region 0 ≤ x ≤ 1, ² ≤ y ≤=

A: Solution :-

Q: Evaluate L¹ (75+5=3]}] -(5+2)

A: