32. Simplify : a. x/3-x/4 b. 3/(2x) -4/x c. 1/2x-1/3x 33. Find x if: 3x +6...
2. x+4y= 14 2x - y=1 x=2, y=3 3. 5x + 3y = 1 3x + 4y = -6 x=2, y=-3 | 4, 2y- 6x =7 3x - y=9 No solution/Parallel lines
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...
4. a. Which choice is a simultaneous solution of these two equations: 3x + 4y = 10 and 5x + 4y = 14 x = -1, y = -2 x = 2, y = 1 y=2x x=y x=1,y=2 b. Which choice is a simultaneous solution of these two equations: 30x + 40y = 100 and 50x + 40y = 140 x=-1,y=-2 x=2,y=1 y=2x x=y x=1,y=2 c. Which choice is a simultaneous solution of these two equations: 2x + y...
Which of the following is solution for (x^2 + y^2) dx +2xydy= 0? xy^2+1/3x^3=c x^2y+1/3x^3=c xy^2+1/2x^3=c x^2y+1/2x^3=c
4. Simplify and state the restrictions. 2x+8 4x+16 a) 3x 6x2–5x+1 b) x2-4 Х x2-x-2 x2-3x 2x2 4 1 c) x2+3x+2 + 1 x2+4x+3 11x d)- x2+3x-28 X-4
JU, I - 4, y = -1 = (4, -1) The solution is the ordered pair (4, -1) Check by substituting these values into the original equations. EXERCISES Use the substitution method to solve each system of linear equations. 1) x = y + 3 x + 7 = 2y 2) y = 2x 3x + y = 10 3) y = 3x 5x - 2y = 1 4) y = x + 4 3x + y = 16 5)...
Find the x-intercept and the y-intercept of each equation. 33. - 3x + 2 y = 12 34 34. 2x – 3y = 24 CHAP FUN Find the slope of the line through each pair of points. 36. (-8, 6) and (-8,-1) In ma relati types an ir 35. (-12, 3) and (-12, -7) 37. (6, -5) and (-12,-5) Find the slope of each line. 38. 3x – 2y = 3 40. x = 6 39. y = 5x +12...
9) Find ( 5x+3x+3x dx a) O 5x2 + x3 + x2 + c b) O 5x3 + 2x2 + 3x + c c) O 5x3 + 2.x + 3x + с d) 0 5x + x² + x3 + c 8) Find the most general solution of the differential equation dx C49602 Weight: 1 = 6x2 - 7; given that y = 5, dy = 2, when x = dx o. a) y = PR + 2x + 5...
Integrate: 3 X Wix 12 X SX 3. (3x²+2x+5 de J (x-1) (x²-x-20). 4. 15x²-3x-2 d. "JX² - 2x² ay 1. mo Fuid appropinations using numerical integration 24 a) with midpt method . b) with trapezoidal method ) n=4. a) Midpoint b) Trapezoil al
Multiple Choice: 1. Simplify "1-2x-x+5x-3x2+15+x3 a) x3-4x2+3x -1 (b) x2-4x2 +3x +1 (c) x3-4x-3x +1 (d)+4x +3x +1 2. Expand "logly' x3 a) 2(Logly)+3logx)) ( (d) 2logl)+3loglv) (b) 3log(x) 2logly) (c) 6log(x)logly) 3. quals 5 (b) 55 (c) 64 (d) 10 a) 62