In problem 9–12 use (5) to find the general solution of the given system.
9.
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- 11. In the function y = 3x2 – 3, y is replaced by y and then y is replaced with y +2 ; the new equation in simplest form would be Oy = 6x2 – 8 Oy =2x2 – 5 Oy = 6x2 – 5 Oy = 3x2 – 8 -arrow_forwardHow do you solve the 8th question?arrow_forwardSolve 1. (z- 4) s(3z + 2) 2. X+8(x+1) > 3(2-x)+xarrow_forward
- 2 4 3. (b) Would you prefer to solve the above system by the method of undetermined coefficients? X' = (; )x + (;). Justify your answer.arrow_forward2. Show that x4 - 3x - 1 has a solution between 1 and 0, and another solution between 1 and 2.arrow_forward12) Use y = [₁,2"+ to solve 2x²y" - xy + (x+1)y=0. n=0arrow_forward
- 6. What is the general solution of * (x² + 2xy – 4y)dx - (2 – 8xy – 4y)dy = 0 a? - 4y? = c(x - y) x? + 2y = c(x + 2y) O Option 1 O Option 2 a? + 2y? = c(x - 2y) a? + 4y? = c(x + y)arrow_forward13 Solve the following linear system of DE; x' = Añ. 9x15x2 + 3x3 4x2 + 3x3 O 13arrow_forwardUse (1) in Section 8.4 X = eAtc (1) to find the general solution of the given system. 1 X' = 0. X(t) =arrow_forward
- 3,2 3.2 X(x²-1)-y=xy ;y(2)=-arrow_forwardIf L(x)=mx+b is the linearization of the cube root of 3x+1 at x=333 , then b=arrow_forward3) Personal taxes Suppose that the percent of total personal income that is used to pay personal taxes is given by y = 0.034x² – 0.044x + 12.642 where x is the number of years past 1990 (Source: Bureau of Economic Analysis, U.S. Department of Commerce). (a) Verify that x = 7 is a solution of 14 = 0.034x² – 0.044x + 12.642. (b) Find the year or years when the percent of total per- sonal income used to pay personal taxes is 14.arrow_forward
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