You are testing an electrical device which can be modelled by the following equation: 1₁ + 2(1₁-1₂) + 4(1₁ - 1₂) = 4 31₂ + 4(1₂1₂) + 7 + 2(1₂− ₁) + 3(1₂ - 1₂) = 0 3125+ 2(1₁ - 1₂) = 0 (1-a) Rearrange the above three equations into a standard form. (1-b) Find I₁, I2, and 13 using the Gaussian elimination method.

You are testing an electrical device which can be modelled by the following equation: 1₁ + 2(1₁-1₂) + 4(1₁ - 1₂) = 4 31₂ + 4(1₂1₂) + 7 + 2(1₂− ₁) + 3(1₂ - 1₂) = 0 3125+ 2(1₁ - 1₂) = 0 (1-a) Rearrange the above three equations into a standard form. (1-b) Find I₁, I2, and 13 using the Gaussian elimination method.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter11: Differential Equations

Section11.CR: Chapter 11 Review

Problem 12CR

See similar textbooks

Related questions

Q: The following system has an infinite number of solutions. Form an augmented matrix, then write the…

Q: Find the length of the following three-dimensional curve. r(t) = (2+5t,9-3t, -6+3t), for 1st≤4

Q: y=xy+x-y-1, y(0)=0

Q: js(t-1) 6 sin(t) dt

A: Solution :-

Q: Use L'Hôpital's rule to find the following limit and check the answer using an algebraic…

A: Using L'Hospital's rule we find the given limit and we check the answer using an algebraic…

Q: At the beginning of each month, $200 is deposited into a retirement fund. The fund earns 6% annual…

Q: 1.) 201 4sin (x) cos (x) dx dy 0 y² + 1 [¹ylnª (y² + 1)

Q: 1. Solve by Gauss Elimination 6x + 3y+6z=30 2x+3y+32= 17 x+2y+2x=11 w+y+2=19

Q: Ex: Find the center of mass of the solid whose density &z and bounded above by the plane z=y, below…

Q: Determine the values of a, if any, for which all solutions of the differential equation y" (2a -…

A: Given differential equation is y'' - 2α-13 y' + α2 -13α+ 36 y =0

Q: Construct a pie chart illustrating the given data set. A cereal manufacturer wants. o introduce…

Q: an error of magnitude less than 1-cos(2x) 4 Use the identity sin² a to obtain the Maclaurin series…

A: (4)

Q: 4. If tige Lim. 1/2 show that fy & L'UM.

Q: Refer to the figure and find the volume V generated by rotating the given region about the specified…

Q: Theorem 3.1. Let ƒ € C¹[a, b] and 0 < y < x be two real numbers. We have Σ f(n) = = 1₁² f* y<n<x…

A: As per the question we are given the Euler's Summation Formula which we have to prove and we will…

Q: Let f be a holomorphic function on the disc DR centered at the origin and of radius Ro. (a) Prove…

A: Here we have given that f be a holomorphic function on the disc DR0 centered at the origin and of…

Q: The measurement of the radius of a circle is 16 inches with a possible error of 0.25 inches. The…

Q: Estimate the following definite integrals using the Trapezoidal rule and Simpson's rule. Estimate…

A: 2 Given integral is ∫−11x2+1dx. We have to estimate the given integral by using Trapezoidal rule and…

Q: calculate y" at x=1 given the following y(0)=5. system y"=5xy'+2xy+5x+1. y'(0)=2

A: Please see the attachment

Q: 2. If the strength of a rectangular beam is a function of its width, height and length [e.g. kW H² ]…

A: The first order derivative mainly tells us that in which direction the function is going. That is…

Q: Sales of a particular product for the years 2017 through 2020 have been 47,150, 52,477, 64,750 and…

A: Given- Sales of a particular product for the years 2017 through 2020 have been 47,150, 52,477,…

Q: Activity 2: You are working on another electronic system that produces a voltage (v) as a function…

Q: 10.Check whether 12" can end with the digit zero

Q: H.W: Estimate the root of the equation for the following equation using Secant Method: 1. x3 – 5x =…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: The Bar graph below describes the scores of a group of students on a 10-point math quiz 10 9 1 Quiz…

Q: 13. If a and are the zeros of p(x)= 3x² - 6x +4,find the value of (i) a² + B² (ii) a/ Bß + B/a (iii)…

A: The given problem is to find the value of the given identities from the given polynomial function…

Q: A 25-year mortgage on a house requires payments of $915.60 at the end of each month. If the interest…

Q: A ball is launched straight up in the air from a height of 5 feet. Its velocity (feet/second) t…

A: The velocity is the rate of change of the distance with respect to the time. Hence, it can be…

Q: SHOW that the continuous image Path - connected space is path Connected.

Q: (b) Obtain 3 non zero terms of the Maclaurins series for sin²x. Hence, evaluate sin² x 0.5 1.0.5 5…

A: The given problem is to evaluate the given definite integral using Maclaurin series of sin2x upto 3…

Q: Find the general solution for the first-order differential equation. dy dx 16x

A: We have to find general solutions of given equation.

Q: Solve using appropriate LU method. (Doolittle Decomposition and Crout's Method) 1. x+y+z=7 3x + 3y +…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Consider the model dP dt where P(t) represents the size of the population at time t. = 5P + 10P²,…

A: In logistic model as competition increases ( i.e. population growing ) resources become increasingly…

Q: Using the Euclidian algorithm find the inverse of the following 1) 57 modulo 113 2)13 modulo 20…

Q: 1) (x + ye²) dx - xex dy = 0

Q: 2. A Venn diagram MUST be drawn for this problem. Please check your Given statements: If a shape is…

Q: What I Can Do WRITTEN TASK For this week, you are required to answer this assessment tool for…

Q: Evaluate the integral 00 [8 (t-7) 6 sin(t) dt

Q: (6) Find the integral of the function piecewise linear path from (1,1) to (2,2) to (0,2). b) 22.3…

A: Given the function Fx,y=ey-x,e2x

Q: Determine the values of a, if any, for which all solutions of the differential equation y" - (2a -…

A: Given the differential equation y''-2α-15y'+α2-15α+50y=0 We have to find the valiue of α where All…

Q: List the eig composition of a rotation and a scaling. Give the angle o of the rotation, where - =…

A: please comment if you need any clarification. if you find my answer useful please put thumbs up.

Q: By using Value of fixed point approach solve the A = √2 + √2 + √2+...

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Sketch the graph of the function. (3x + 3, X ≤ -1 k(x) = 3x²-2, -1 1 y

Q: Question Graph the following function: Provide your answer below: Drag the movable black point to…

A: To Sketch: The Graph of y=4cotx+π6-3 with explanation.

Q: The number of air safety inspectors for selected years is shown in the table. Year 1996 1997 1998…

Q: A point P(3,0,5) lies on a plane that can be defined by the scalar equation Ax+By+Cz+ D = 0. A…

A: the scalar equation of a plane with normal vector n=(A,B,C) is AX+BY+CZ+D=0

Q: What actual number of days is computed from March 24, 2018 to August 14, 2018

A: So, to do this we will see the number of months having 30 days and number of months having 31 days…

Q: Write a dual program such as LP below:

Q: m. n. Sex: [ tan³ x dx ex sec³ ex dx

Q: Q4. Consider the topological space (X,T), where X = {a, b, c, d) and T = {o, X, {a}, {b}, {c},…

A: Given: Q4. a) X, T is a topological space, where X=a, b, c, d and T=∅, X, a, b, c, {a, b}, {a, c},…

Question

Activity 1:
You are testing an electrical device which can be modelled by the following equations:
₁ + 2(1₁ − ₂) + 4(1₁ − ₂) = 4
31₂ + 4(1₂−1₂) + 7 + 2(I₂ − I₁) + 3(1₂− ₁) = 0
31₂5+ 2(1₁ - 1₂) = 0
(1-a)
Rearrange the above three equations into a standard form.
(1-b) Find 1₁, 12, and 13 using the Gaussian elimination method.
(1-c) Find I1, I2, and I3 using the inverse matrix method.
(1-d) Verify your answers using MATLAB.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Step 7

Step 8

Step 9

Step 10

Step by step

Solved in 10 steps

SEE SOLUTION Check out a sample Q&A here

Follow-up Questions

Read through expert solutions to related follow-up questions below.

Follow-up Question

(1-c) Find I1, I2, and I3 using the inverse matrix method.
(1-d) Verify your answers using MATLAB.

Solution

by Bartleby Expert

SEE SOLUTION

Similar questions

5x−y=125x−y=12 Step 1 of 2 : Determine the missing coordinate in the ordered pair (−1,?)(−1,?) so that it will satisfy the given equation.
C.1. Give a real general solution to the equationu'''' - 5u''' -6u'' = 0 : C.2. Give a real general solution to the equation(D2 + 8D + 41)^3 (D + 7)^2w = 0 : C.3. Give a real general solution to the equationy'' - 36y = 8e^2t ;given that (-1/4e2t) is a solution to it. C.4. Give a real general solution to the equationv'''' + 13v'' + 36v = 10e^t ;given that (1/5e^t) is a solution to it.
Consider the following. x = y2 + 2y − 8 (a) Write the equation in standard form. x =
Consider the following. y2 − x2 − 4y + 2x − 6 = 0 (a) Write the equation in standard form.
ナ find the genercal solution of the special type equation given above.
Example 31.7. Solve y,2-4y1+ 3y, = 5".
Ex. 625. The sum of two numbers is 63 and their difference is 36. What are the two numbers (smaller, larger)? Use linear algebra techniques to solve the two simultaneous linear equations. Focus on the linear algebra technique. ans:2 Ex. 630. Refer to Fig. 630. Let n=84 Assign phase variables: x1=y and x2=x1dot. Determine the state variable equations. Answers: a11,a12,a21,a22,b1,b2,c1,c2,d ans:9
obtain the general solution. a.(D2 – 3D + 2)y = 2x³ – 9x² + 6x. b.(D² + 4)y = 5 e* – 4x. c. (D² + 4)y = 5 e - 4x². 3.
Eliminate the arbitrary constant on the given equation y=( C1+C2x) e2x+ex
- Solve the following first order equations: (a) (x²y² + 1)dx + 2r²dy = 0, use the substitution ry = u.
1. Convert the following difference equation into a first-order form: Yt = Yt-1 + 2yt-2(Yt-3 – 1)
II: Eliminate the arbitrary constants of the following equations.