Math 2142 Homework 4 Part 1: Due Friday March 11
... Therefore, the general solution to the homogeneous equation is c1 e−x + c2 e−2x . To guess a solution to the non-homogeneous equation, we try y = Ax2 + Bx + C. Calculating the derivatives, we have y 0 = 2Ax + B y 00 = 2A Plugging these values into the non-homogeneous equation gives us y 00 + 3y 0 + ...
... Therefore, the general solution to the homogeneous equation is c1 e−x + c2 e−2x . To guess a solution to the non-homogeneous equation, we try y = Ax2 + Bx + C. Calculating the derivatives, we have y 0 = 2Ax + B y 00 = 2A Plugging these values into the non-homogeneous equation gives us y 00 + 3y 0 + ...
Natural Numbers, Whole Numbers, Integers, Rational and Irrational
... For example: 48 23 can be written as 48 0 23 . (I know, it seems silly, but wait!) ...
... For example: 48 23 can be written as 48 0 23 . (I know, it seems silly, but wait!) ...
Prelim 2 with solutions
... σ(123)(45)σ −1 = σ(123)σ −1 · σ(45)σ −1 = (σ(1)σ(2)σ(3))(σ(4)σ(5)) = (542)(31), as desired. Finally, it is easy to check that, in cycle notation, σ = (15)(243), a product of two cycles, one of which is odd and the other even. Therefore, σ is odd. (b) (10 points) With σ as in part (a), define τ = (13 ...
... σ(123)(45)σ −1 = σ(123)σ −1 · σ(45)σ −1 = (σ(1)σ(2)σ(3))(σ(4)σ(5)) = (542)(31), as desired. Finally, it is easy to check that, in cycle notation, σ = (15)(243), a product of two cycles, one of which is odd and the other even. Therefore, σ is odd. (b) (10 points) With σ as in part (a), define τ = (13 ...
Math Review Large Print (18 point) Edition Chapter 2: Algebra
... Inequalities can involve variables and are similar to equations, except that the two sides are related by one of the inequality signs instead of the equality sign used in equations. For example, the inequality 4 x - 1 £ 7 is a linear inequality in one variable, which states that “ 4 x - 1 is less t ...
... Inequalities can involve variables and are similar to equations, except that the two sides are related by one of the inequality signs instead of the equality sign used in equations. For example, the inequality 4 x - 1 £ 7 is a linear inequality in one variable, which states that “ 4 x - 1 is less t ...
LESSON
... polynomial expression completely. Then set each factor equal to zero to solve for the variable. Solve the equation: 2x 5 6x 4 8x 3. Step 1 ...
... polynomial expression completely. Then set each factor equal to zero to solve for the variable. Solve the equation: 2x 5 6x 4 8x 3. Step 1 ...
Natural Numbers, Whole Numbers, Integers, Rational and Irrational
... For example: 48 23 can be written as 48 0 23 . (I know, it seems silly, but wait!) ...
... For example: 48 23 can be written as 48 0 23 . (I know, it seems silly, but wait!) ...
