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32. Simplify : a. x/3-x/4 b. 3/(2x) -4/x c. 1/2x-1/3x 33. Find x if: 3x +6 = 2-5x a. b. x/m + x/n = 1 C 1/x = 3/m d. Sx/3 = 2 34. Find b if: x/(x+a) = 2/b a. b. v(x - b') =y 35. Solve the following Simultaneous linear equations and check in both equations: a) 3x+y=-4 x-2y 1 b) 5x+y=-8 2x-2y 4 Answer: x-1, y.3 36. Evaluate the expression below, if b-3 and c-2. 2bc'+(bc) Helpful...
Solve x′ =2x+y, x(0)=1 y′ =3x+4y, y(0)=0
Graph the system of Linear Inequalities: Y>-2x+1 Y-3x < -4
Homogenous equation 1. (2x – y) y = 4y – 3x, y(0) = 2
Systems of Equations: 3x + y = 6 2x-2y=4 Substitution: Elimination: Solve 1 equation for 1 variable. Find opposite coefficients for 1 variable. Rearrange. Multiply equation(s) by constant(s). Plug into 2nd equation Add equations together (lose 1 variable). Solve for the other variable. Solve for variable. Then plug answer back into an original equation to solve for the 2nd variable. y = 6 -- 3x solve 1" equation for y 6x +2y = 12 multiply 1" equation by 2 2x...
2. Consider the homogeneous equation r2y"- (3r2 2x)y (3x + 2)y= 0. (a) Verify that y = x is a solution to the homogeneous equation. (b) Use reduction of order to find the general solution.
For the following linear system: 2x--3x +5x2-7x4-0 X-2x+3x-2xs-0 3x3-3 x-x-3x: 0 X:+8 x 9 x3+11 xs-0 (1) Represent this linear system in the form Ax = b. (ii) Explain what the null space of the coefficient matrix A is in terms of the linear system (ii) Find a basis for the null space of A. (iv) Find the rank and nullity of matrix A.
graph please 47. x + y = -3 Find - and y-intercepts In the following exerases o g bercise find me and indoor an gran b --2-102 In the following exercises, find the intercepts for each equation 38. x - y = -4 37. x-yas 39. 3x + y = 6 40. x - 2y = 8 41. 4x - y = 8 42.5x - y = 5 43. 2x + 5y = 10 44 3x - 2y = 12...
Find the absolute extrema of the function on the closed interval. y= 3x^2/3- 2x, [-1, 1] 3. [-16 Points] DETAILS LARCALC11 3.1.029. Find the absolute extrema of the function on the closed interval. y = 3x2/3 - 2x, (-1, 1] minimum (x, y) = maximum (x, y) = Show My Work (Optional) Submit Answer View Previous Question Question Home My Assignments Copyright © 2020 Cengage E Type here to search a
Find dy/dx: y=(2x+1)2(3x)2