6. If 3x – 3 5 f(x) < x2 – 3x + 6 for x 2 0, find lim f(x). X-3
Question 5: Graph the inequality. y> 3x² + 3x - 5 Question 6: Determine graphically, the solution region for the two inequalities. y > 22 - 3x - 6 and y> 2x2 + 7x + 6 Question 7: Solve the inequality algebraically and show the solution in interval form. x² + 2x - 3 > 0 Question 8: Solve the inequality algebraically and show the solution in interval form. 2x2 - 6x - 9> 11
6. If BC = 2x + 5, AD = 3x + 10, and MN = 2x + 13, find BC, AD and MN. B M N A D
Need Explanation Question 6 Solve using Matrices 2x – 3y + 2z = 13 3x – 4y – 3z = 1 3x +y – z = 2 infinite number of solutions No Solution O (-1,2,1) (2,-1,3)
Problem 4.1 Dependent equations? Given: x +2x2 2x+3x, 5 2xx +3x-2x 18 -x, + 3x2 + x3-4x,--6 x 3x2+ 5x 5x, 13 If the set of 4 equations is dependent or independent Find:
* For the function f(x) = (3x + 5 if x 20 6 if x < 0. find f(-10)
5. Only pacifists are Quakers. 6. 1x) ("KxvLx) /(3x) (Px & Sx) There are religious Quakers. So, pacifists are sometimes religious. (Px, Qx, Rx) / (3x) (Kx & Lx) 5. Only pacifists are Quakers. 6. 1x) ("KxvLx) /(3x) (Px & Sx) There are religious Quakers. So, pacifists are sometimes religious. (Px, Qx, Rx) / (3x) (Kx & Lx)
Solve the systems of equations by substitution #11 2x-y-2 3x+4y-6 Solve each system by elimination or by any convenient method #13 a) 3x+4y-1 2x-3y-12 b) -4x+3y--!5 3x-2y-4
6. (5 pts) y = 6 + 3x (a) Find at least two pairs of x and y. (b) Graph the linear equation. 7. (5 pts) y = 10 - 2x (a) Find at least two pairs of x and y. (b) Graph the linear equation.
(3x{y4 – 6xy)dx + (4.x® y3 – 3x²)dy, where C is any path 13. Evaluate the line integral from (1, 2) to (2, 1). (a) 12 (6) 14 (c) 10 (d) – 10 (e) – 12 (1) -14 (g) – 16 (h) – 18