1. Find the general solution of the given differential equation using MUC: + 104y(1) – 80y = x² e2x + 3 – 5 cos 3x. y(4) – 4y(3) – 21y(2)

Q: ht numbers. Let the

A: Use this well-known identity: Ax(BxC) = B(A.C) - C(A.B) (where . indicates dot or scalar product) So...

Q: Decide whether or not the method of undetermined coefficients can be applied to find a particular so...

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Q: Evaluate S, S16- /16 — у2 /16 – y² – z² 22 bw (z2 + w?) dw dz dy - 16 – y² So — у2

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Q: ydy 1. S- V25-16у* xdx 2. S- 9+x 2 dz 3. S- 2 +6z+10 xdx 4. S- 9+x

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Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) Y1...

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Q: 3. Consider the following 2 vectors in R³: V1 = V2 = (a) Check that the vectors are orthogonal. (b) ...

A: In (a) , we need to check whether two vectors are orthogonal or not. Orthogonal vectors : if dot pro...

Q: 9. Test the following for convergence (p and q denote fixed real numbers): (a) Σ1P"n"; p > 0

A: Please specify which subpart is to be solved. Here is the solutions of subparts. (i) The given serie...

Q: av2 (x³ – 2)(2a? – x²)2 dx

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Q: dy 2. J y3+64 partial fraction

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Q: 3. Two strong wires AB and CD are at- tached to a flagpole as shown at right. If we assume the base ...

A: Given that two strong wires AB and CD are attached to a flagpole as shown in the below figure: It a...

Q: Select the best answer to each question. In your solution sheet, write t the correct answer. If your...

A: The given differential equation is y(4)-y(3)-y(2)+y(1)=xe-2x-10x2+8cos(2x) the auxiliary equation is...

Q: A tank with a capacity of 250 gal is intended to be used to prepare a sugar solution. The tank initi...

A: Let the amount of sugar in tank at time t = y(t)    

Q: The integral expression: / Ocos?20 d0 can be evaluated by parts of the form: udv =uv - / vdu. The pr...

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Q: Find the volume of the solid generated bounded by x = Vy – 2, x = y2 – 4y + 4, rotated about the %3D...

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as...

Q: min X2 subject to X2 = 1 X1, X2 > 0

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Q: Let -8 -2 -9 6. 4 8 and w = 1 4 4 -2 Determine if w is in Col A. Is w in Null A?

A: We can solve this using given above information

Q: Find the volume of the solid generated bounded by x = Jy – 2, x = y² – 4y + 4, rotated about the x –...

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Q: Find the solution of the given initial value problem using MUC: y'''-3y''+2y'=3x²-e^(2x)+sin2x y(0)=...

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Q: х<1 a) f(x) = x-1' %3D a=1 3 — 2х + 5, х25

A: This is a problem of real number topology, real analysis, application of differentiation.

Q: Solve x3- 16 1 -5 6 4 X1 -4 -3 -2 -8 -1 X2 -7 6 3 9. 15 11 X3 10 -3 -1 -9 6 X4 16 6 8 -8 14 X5 3. 9.

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Q: CALCULATE I = 2² + y² + z*dædydz, WHERE "T" IS THE CILINDER 2² + y? < 1,0 < z < 1.

A: A scalar function f(x,y,z) is a rule that is used to associate a number or quantity with a particula...

Q: PRACTICE SET 5 Given: f(x, y, z) = (xy²z+2x³yz - 3xz²) in the direction v = [10,-24 , 16] %3D

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Q: Solve the following system of linear algebraic ed 1. Cramer's method?

A: # we are entitled to solve one question at a time , please resubmit the other question if you wish t...

Q: Determine if f is differentiable at x = 0 given that -1 4 cos if – 2 0, x # 1. (x – 1)6 '

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Q: Using Pappus theorem, find the volume formed by revolving about the x- axis the area bounded in the ...

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Q: I. Select the best answer to each question. In your solution sheet, write the letter of the correct ...

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Q: QUESTION 8 You run an custom t-shirt shop. You have a very specific process to make your t-shirts. F...

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Q: A thermometer reading 21°C is brought into an oven that has been preheated to a constant temperature...

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Q: Problem 4. Provide example sentences that correspond to the following predicates. a. VV(¬V → W) b. (...

A: Since you have posted a multi subparts question according to guildlines I will solve first three que...

Q: -3 dx L-3 x(x+1) Jo² tan x dx 5.

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Q: Solving. A. For each figure given below, find all six trigonometric ratios for all angle 0. 8. 1. 2....

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Q: 1-z Let C: z-il=9. Then ſ. dz = z(z+1) а) 0 b) 2ni с) —2лі d) 4ni e) — 4пі f) 2п

A: Multipart:    We have , gz = 1 - zzz + 1 gz = 1zz + 1 - zzz + 1 g(z) = 1zz + 1 - 1z + 1 We need to f...

Q: Modular Arith Let B = {0, 1, 2, 3, 4, 5, 6} Let f:N → B. Define f(n) as the remainder when dividing ...

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Q: Use induction to show that n4 + 15 is a multiple of 16 for every positive odd integer n.

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Q: 2. Find the solution of the given initial value problem using MUC: 2y(3) – y(2) – 2y(1) + y = 4x3 – ...

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Q: Find the coordinates of the centroid of the solid generated when region bounded by x² + y² – 4y = 0 ...

A: We are given a solid and we need to find the centroid or center of mass. 

Q: nd the flux of the vector v=⟨x,y,z⟩ along the surface of the right tetrahedron below.

A: Flux of the vector

Q: Cade put a total of 90 books on 6 shelves. On 5 shelves, he put 14 books each. The remaining books w...

A: A linear equation is represented as y=ax+b, where a, b are constants and x, y are variables.  Formul...

Q: In Exercises 13–21, reduce [A|I] to find A-. In each case, check your calculations by multiplying th...

A: Q13&amp;19 asked and answered

Q: dx 2х + y K1 dt K2 dy %3D dt

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Q: Find a formula in terms of k for the entries of AK, where A is the diagonalizable matrix below, and ...

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Q: 1/4 - (1/4)^11    Solve without using calculator. Just use the laws of exponent without expanding ...

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Q: Show that Foranyeigen value Tofthe nonsingu lar matrix A with any natural norm Then

A: Given, Eigenvalue λ of non singular matrix A To prove : 1∥A-1∥≤λ≤∥A∥

Q: Find the solutions that can be read from the simplex tableau. X1 X2 X3 S1 S2 9 8 1 6 1 1 2 9. 7 9. 2...

A:  In each simplex table we get a feasible solution and if the value of reduced cost is non nagative (...

Q: - Show that u(x,t) e-a't[A sin(2x) + B cos(Ax)] satisfies the PDE uz = a?uxx for arbitrary A, B and ...

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Q: -2 2 1 -3 6. -1 1 -7 10

A: We have to reduce the following matrix 2-221-360-11-7102 to Row Echelon form and then reduced row ec...

Q: Prove a Function is Onto Use the definition of onto to prove that the given function is onto. Let f:...

A: Solution

Q: Advanced Math Question

A: (a) It is given that ;              tanα = 23 ;     α in quadrant iii And,     cscβ = 53  ;     β in...

Q: 4. Suppose that f: X Y is a one-to-one function and that A C X and BC X. Prove that f (AnB) = f (A) ...

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Q: Using RK4 method, Solve for y(1).  y' + 0.2y = 0  y(0) = 5 h = 0.2

A: Using RK4 method,we Solve for y(1).  Given DE is y' + 0.2y = 0 , y(0) = 5 and h = 0.2