Factor and solve each quadratic equation: 1) w2+5w-32=2w-4 2) x2+8x=0
3. Solve: 323+1 = 243 (5 marks)
+ y +z- 0 y-1 5. Solve: ANS: -(2) -(0) 6. Suppose: W Calculate and H -5W+4H ANS: 7. Write the system in #5 as a MATRIX EQUATION and a VECTOR EQUATION Matrix equation: Vector Equation: Find all h so that the system with the augmented matrix is INCONSISTENT 8. 1-1 7 a. h=7 b. h-7 c. h0 d. h 0 is: 9. The SPAN of the vector d. none of these c. the point: (0, 0) b. the line...
Problem 15. (1 point) Calculate the cross product assuming that u x W = (4, 7, 3) (2u +5w) xw=( ~ Note: You can earn partial credit on this problem.
Solve 2 cos' (w) + 7 cos(w) + 5 = 0 for all solutions. w=D .where k is any integer Preview Give your answer as an exact value.
Question 7 (1 point) Solve the equation: W = {a – 3d for a. Oa = W+3d Oa = 2W + 3d O a = 3wd Oa = 2W + 6d
Question 9 Solve the absolute value inequality. Write the solution in interval notation. 243 2 + -197+ 1 @o 21 23 19 19 21] 19 23 19 {-22, 22)
30) If logo 3 = a and logo 7 = b, write log 243 in terms of a and b 49
5. Solve the following IVP by using the method of Laplace transforms: w"- 2 w' +w = 6 t - 2, w(-1) = 3 , w' ( -1) = 7
Find the standard deviation. Round to two decimal places. 7. 110, 160, 243, 298