Symbolic answers must be entered using notation similar to the examples given below. If you enter decimal numbers for questions that indicate that a symbolic answer is required, it will be marked as zero, regardless of whether the decimal number is correct or not. Integer numbers (positive, negative, and O) are allowed. Below are some examples. Example Math Expression How to Enter the Answer 2 -3/5 infinity 2\"8+l 2+exp(5) 5*pi/9 4/7-3*ln (2) sqrt(2) 5"(l/3) sqrt(5exp(3)+2*ln(7*pi)) fac(5) Problem #5: (a) Express the complex number (-2 +51) in the form a + bi. (b) Express the below complex number in the form a + bi. 4+ 3i i (4 + 6i) (c) Consider the following matrix. Let B = A". Find by1 (i.e., find the entry in row 1, column 1 of A-1) Problem #5(a): if your answer is a + bi, then enter a,b in the answer box Enter your answer symbolically, if your answer is a + bi, then enter a,b in the answer Problem #5(b): as in these examples box Enter your answer symbolically, if your answer is a + bi, then enter a,b in the answer Problem #5(c): as in these examples box Just Save Submit Problem #5 for Grading Problem #5 Attempt #1 Attempt #2 Attempt #3 Your Answer: | 5(a) 5 (a 5(a) 5 (b) 5 (b) 5 (b) 5 (c ) 5 (c) 5(c) Your Mark: 5(a) 5(a) 5 (a) 5 (b) 5 (b ) 5(b) 5(c) 5 (c ) 5 (c) Problem #6: Which of the following is a solution to the equation z' = (V3 + i)? (A) 21/3[cos(7/9) + i sin(7/9)] (B) 21/3[cos(8x/9) + i sin(8x/9)] (C) 213[cos(1 1/9) + i sin(11x/9)] (D) 2 3[cos(23x/18) + i sin(237/18)] (E) 2 3[cos(10x/9) + i sin(10/9)] (F) 21/3[cos(17/18) + i sin(17x/18)] (G) 21/3[cos(13/18) + i sin(13/18)] (H) 2 3[cos(19/18) + i sin(19x/18)] Problem #6: Select vProblem #7: gi @247 Find the value of 247 P bl #7. :| Enter your answer symbolically, if your answer is a + bi, then enter a,b in the answer ro em ' as in these examples box ' Just Save I ' Submit Problem #7 for Grading Problem #7 Attempt #1 Attempt #2 Attempt #3 Your Answer: Your Mark: Problem #8: A system of differential equations can be created for two masses connected by springs between one another, and connected to opposing walls. The dependent variables form a 4 X 1 vector y consisting of the displacement and velocity of each of the two masses. For the system y' = Ay, the matriXA is given by: Because the system oscillates, there will be complex eigenvalues. Find the eigenvalue associated with the following eigenvector. 51' 51' 10 + 101' 10 101' Problem #8: |:| if your answer is a + bi, then enter a,b in the answer box Problem #9: Find the values of c1, C2, and c3 so that c1 (-10, -25, -3) + c2 (15, -5, 0) + c3 (5, 0, 0) = (-5, 10, 6). Problem #9: enter the values of C1, C2, and C3, separated by commas Just Save Submit Problem #9 for Grading Problem #9 Attempt #1 Attempt #2 Attempt #3 Your Answer: Your Mark