MATH 1150 Final: Math_1150_Final_Exam_Review_Au17 (2)

Follow the steps suggested in Example 9 to determine the horizontal distance covered by a person traveling up a chair lift that rises 960 feet over a distance of 4, 330 feet. With 5 being the most confident, place a score from 1 to 5 in the box reflecting how confident are you that you did this question correctly. After reading this section, what concepts do you feel that you understand well? What concepts would you like to focus on in class? What on-line problems would you like to review? (Use the back if necessary.)

Do NOT do y Exam 2: Math 3280, Fall 2017, Section 001 There are 4 problems on this test. Please label and organize y box your answers. Good luck! our problems, show your Problem 1: (15 points) For the following problem (a) (2 points) Find the determinant of A (b) (3 points) Find the inverse of A (c) If Ax=b. (i) (2 points) Solve for x using the inverse of A. (ii) (3 points) Solve for x using Cramer's rule. (iii) (3 points) Solve for x using elementary row operations. (iv) (2 points) What was true of the determinant of A that assured that would have a unique solution? consider mat d'A A'-[ 2 determinant 07 A. ;s lA 1-1 2

Fall 2017 Math 2150 Final Exam Take 1 Part 1 Section 8 osed book, closed notes. No calculators. Show your work. No loitering, no smoking, walking on the grass, no feeding the animals, no parking, no stopping or standing, no mping, no running, no fishing, no vacancy. All problems weighted equally (1) Use Euler's method to estimate y(7) when y, + V-x and y(1) -3. Use step size 3. (2) Solve the differential equation (4xY + 3z2jdz + (3xY + 6y2)dy 0. 3) Is the differential equation y'"-6z3y" cosas linear? why or why not? 4) Tanks T1 and T2 contain 50 gallons and 100 gallons of salt solutions, respectively. A solution with 2 pounds of salt per gallon is pumped into T1 from an external source at 1 gal/min, and a solution with 3 pounds of salt per gallon is pumped into T2 from an external source at 2 gal/min. The solution from T1 is pumped into T2 at 3 gal/min, and the solution from T2 is pumped into T1 at 4 gal/min. T1 is drained at 2 gal/min and T2 is drained at 1 gal/min. Let Q1(t) and Q2(t) be the number of pounds of salt in T1 and T2, respectively, at time t>0. Derive a system of differential equations for Q1 and Q2. Assume that both mixtures are well stirred. guess" method (a kn