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Differential Equations and Linear Algebra (4th Edition)
- Use a system of linear equation to find the parabola y=ax2+bx+c that passes through the points (1,2), (0,1) and (2,6)arrow_forwardFind a system of two equations in two variables, x1 and x2, that has the solution set given by the parametric representation x1=t and x2=3t4, where t is any real number. Then show that the solutions to the system can also be written as x1=43+t3 and x2=t.arrow_forwardSolve the system using the appropriate method. [0.4x + 0.2y = -14 4. 0.1x + 0.3y = 5arrow_forward
- Tanks 1 and 2 contain 50 gallons and 100 gallons of salt solutions. T1 and T2. A solution with 5/2 pounds of salt per gallon is pumped into Tank 1 at 1 gallon per minute. From an external source. A solution with 7/2 pounds of salt per gallon is pumped into Tank 2 at 2 gallons per minute. From an external source. The solution is then pumped from T1 to T2 at 2 gallons a minute. The solution is also pumped from T2 to T1 at 3 gallons a minute. T1 is then drained at 1 gallon a minute. T2 is drained at 2 gallons a minute. Let S1(t) and S2(t) represent the number of pounds of salt respective to t>0 Find the system of equations for Q1 and Q2. The help is appreciated.arrow_forwardGiven `y=3x+1` and `x-3y=5`solve the system using substitution.arrow_forwardApply the method of undetermined coefficients to find a particular solution to the following system. - 3t x' = 7x- 10y + 12, y' = 2x- 5y - 2 e ..... Xp (t) =arrow_forward
- the winning times for a 500-meter speed skating event have generally decreased since 1972. the winning times( in secounds) W(t) and M(t) for women and men, respectively, are modeled by the system w=W(t)=-0.172t+43.44 w=M(t)=0.149t+39.81 where t is the number of years since 1970. use this information to complete part a though d. Olympic 500-Meter Speed-Skating Times Year Winning Time of women (sec) Winning Time of Men (sec.) 1973 43.48 39.62 1977 42.24 38.77 1980 41.72 38.22 1987 40.52 37.28 1993 39.48 36.38 1997 38.80 35.79 2001 38.11 35.19 2006…arrow_forwardQ: Solve the following system O.D.E. for x(t): ý = -2y + 2x * = 2y – 5x If y(0) = 1,y(0) = 0 ,x(0) = 3 and *(0) = 0arrow_forwardPlease show all the work and make it as clear as possible. I have trouble reading some typed work. Thank you.arrow_forward
- Elementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage LearningAlgebra for College StudentsAlgebraISBN:9781285195780Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning