Use the method of variation of parameters to determine a particular solution to the given equation.y'''+36y'=tan6x, 0<x< (pi/12)

Q: Mathematics of Getting Around (Q4)

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Q: Help list the twelve 12th roots of unity and show that this group is cyclic please

A: Understanding the 12th Roots of UnityWhat are roots of unity?In mathematics, a root of unity is a…

Q: * For an odd n > 1, consider the function f₁ : R” → R defined by n-1 - f1(x) = (x − xixi+1 + x²+1) −…

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Q: Please solve and show all work and steps.

A: So:x1​ = 0.5x2​ = 3.5x3 = −0.375I hope this is helpful.

Q: Instructions: 1. Give geometric interpretation and graphs where required. 2. Give your original…

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Q: Pls help on all asked questions. Pls show all work and steps. Pls circle the final answer.

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Q: Pls help on all asked questions. Pls show all work and steps. Pls circle the final answer.

A: Step 1: Step 2: Step 3: if you have any related queries , feel free to ask !!!  Step 4: thank you…

Q: Exercise 4.5.8 (Inverse functions). If a function f: AR is one-to-one, then we can define the…

A: Step 1: Step 2: Step 3: Step 4:

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A: Question 1: The kernel of T is a line through the origin· Find a vector equation for it·The kernel…

Q: Assist me with writing the permutation using attachment below

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Q: A hand truck is used to move two kegs, each of a mass 39 kg. Assume g=9.8 m.s² and neglect the…

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Q: Prove the following

A: Let's go through each theorem in detail, explaining each step clearly. In these theorems, we're…

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A: Step 1: Step 2: Step 3: Step 4:

Q: Instructions to follow: * Give original work *Support your work with examples and graphs where…

A: 1. Proof of the Hahn-Banach Theorem in Full GeneralityStatement: Let X be a normed space, and let Y…

Q: B = {(3, −1), (−2, 1)},   B' = {(−12, 0), (−4, 4)}, [x]B' =    −1   3 (a)…

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Q: 2. Compound Interest: a. A tithe of $35,000 is made to a local church. The money is to be invested…

A: The problem pertains to compounding of interest. Compounding generally refers to the growth of an…

Q: 3. Evaluate the following integrals using appropriate Laurent series. cos (a) Sci(0)dz (b) Sc₁(0)…

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Q: Homework #6 P (MAE 271-03) (FA24) STAT... 4. [-/20 Points] DETAILS MY NOTES webassign.net P Lecture…

A: 1.We are givenP=[−11​−12​]We use the following relationship for square matrix of order…

Q: Please solve using Linear Algebra and show all work and steps.

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Q: (2) Determine the force in member CH of the loaded truss. Ans: CH=0 3 kN 1.5 kN 3 kN 3 kN 1.5 kN E B…

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Q: QUESTION 17 Submit a pdf with your work showing step by step how you found the values of the…

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Q: Use index notation to prove the identity div (u × v) = (curlu) v- (curl v) .u. where u and vare…

A: Step 1: Step 2:

Q: Problem 2. Consider the trace map T : M2×2 → R defined by Prove that T is a linear transformation. T…

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Q: PLs help on both questions pls.

A: Step 1: Step 2: Step 3: Step 4:

Q: Let be the plane with equation X1 ― - 3x2 - 2x3 = 0 in R³. The linear transformation T (B) - E 1 7…

A: Question 1: Question 2:

Q: Gelfand Theory for Commutative Banach Algebras Prove the Gelfand representation theorem, which…

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Q: Need acurate solutions fast

A: Required code:# Graphical illustration of a reflexive Banach space in R^2 for a linear functional…

Q: Instructions to follow: * Give original work *Support your work with examples and graphs where…

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Q: Instructions to follow: * Give original work *Support your work with examples and graphs where…

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Q: please hand write the solution. pealse dont use AI tools

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Q: QUESTION 21 Write the general solution for the equation y" -2y' + y = ex. For the toolbar, press…

A: Step 1:Given differential equation: y′′−2y′+y=exWe have to find the general solution for the given…

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A: Matrix of Linear Transformation: Suppose V,W are vector spaces with ordered bases B={v1​,...,vn​}…

Q: can you explain please, I started out by simplifying 20964 = 1094 mod 1987, and then using the…

A: Detailed explanation:Step 1: Simplify 20964 Modulo 1987…

Q: Let A be an nxn matrix over F and B be an mxk matrix over F. Show that AB=0 if and only if the…

A: We show that AB = 0 if and only if the columns of B are in the null space of A by proving each…

Q: Instructions: 1. Give geometric interpretation and graphs where required. 2. Give your original…

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A: Step 1: given data  Step 2: Scatter plot is  Step 3: Regression line and regression:  Step 4: graph…

Q: Find the general solution in the form y (x) = c₁Jv (x) + C2Yv (x) or y (x) = c₁J₁ (kx) + C2Y (kx)…

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Q: Problem 1. Σvex (f+(v) - ƒ¯(v)) = a) Show that, for any flow f in a network N and any set X CV,…

A: Steps to Solve the Problem:PART A PART B

Q: Don't use any AI tool show ur answer in pen and paper then take pictures and send

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Q: dy/dx=(2y+3)/(4x+5)

A: The given differential equation is 2y+34x+5.

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A: Clearly we observe that I the identity matrix is in SL2​(R).Thus, SL2​(R)=ϕ If, A∈SL2​(R)Then…

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Q: Points A, B, C, D, E are marked in a straight line (in thatorder). It is know that AC = 29cm, BD =…

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Q: Use  proof by induction to prove this. Don't use any other method. Thank you.

A: SOLUTION: