please use laplace transform for the below linear system to solve system of equation. x(t)+6y'(t)=1 2x'(t)+3y(t)=0  with initial condition, x(0)=1 and y(0)=1

Q: Is the equation y-4x²=36 represents y as a function of x?

A: yes the given equation represents y as a function of x given that y - 4x2=36 y = 36+4x2=4(x2+9)

Q: 1, FOR WHAT YALUE(s) OF k (IF ANY) IS THE FOLLOWING MATRIX SIN GULAR ? A =K K-I 3

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Q: 1 FOr WHAT VALUE(5) OF k (IF ANY) ISs THE FOLLOWING MATRIX SIN GULAR? A = K-I 3

A: Given matrix is A=k000k-13011

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Q: 42) Which of the following expressions whose solution is zero? C. x = 1 A. x+ 2 = - 2 В. х-3%33 D. x...

A: Please find attachment for the details solution  

Q: 2. Let u e Rm and v e R" be two non-zero vectors, in other words at least one component of the vecto...

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Q: Solve the following first order differential equations: (xy – 2x? )dy - (y + 2xy)dx = 0.

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Q: X + x2 - 3x, = 3 -2x, - x, =-4 4x, +2x, +3x, = 7 Solve the system using Gaussi an elimination:

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A: The Laplace transform of the function f(t) is represented as F(s) or L[f(t)], it is defined as ∫0∞e-...

Q: 4. GIVEN THE LINEAR SYSTEM AX=b X,+ 2X,+ Xg=1 2X, + 5X,+4X=2 3x, + 6X, +4X =4 9. DETERMINE A 'USING ...

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Q: 1+3i 5. Evaluate 1-41

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Q: 4. Assume that a continuous function f : R –→ R is T-periodic; that is, f(x + T) = f(x) for all x E ...

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Q: Use Euler's method with step size .25 to compute the approximate y-values y1, y2, y3, and y4 of the ...

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Q: Question 6. defined function is continuous everywhere: Determine for which values of a the following...

A: To finds values of a we will use the basic definition of continuity 

Q: Evaluate Ln(-5.3-j2.4) O 4.3143 +j1.0541 O 1.7610 – j2.7164 O -1.2232+ j1.9883 O -2.6170 - j3.5246

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Q: Question 3. The local maximum of f(x) = e&z²+3z²+100 is located at a) I = 0 b) I =-1/2 c) x= -1/3 d)...

A: There is no such introduction for the solution.I have explained it within the solution.Please go thr...

Q: COMPLETE SOLUTION PLS 4 DECIMAL PLACES

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Q: 2. Let u e R™ and v E R be two non-zero vectors, in other words at least one component of the vector...

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A: To find radius of convergence of given functions.

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A: Since we only answer up to 3 sub-parts, we'll answer the first 3. Please resubmit the question and s...

Q: 2.a. GIVEN: A = = f(x) = 2x -x +3 EVALUATE } frA) b, FOR nxn MATRICES A AND B, SHOW THAT THE INVERSE...

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Q: The time is now 3:30 AM. What was the time 2 hours and 10 minutes ago?

A: Given current time is 3:30 AM So 1 hour before time will be  2:30 AM Again 1 hour before time will b...

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Q: If x is a rational number and y is irrational, prove that x +y and x y are irrational.

A: There are many methods to prove a statement. Some of them are direct proof, prof by contradiction, p...

Q: Directions: For each graph, write the equation of the line. 1. 2. 3.

A: