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Math 1100 Exam 3 Name: 4 December, 2013 UID: Instructions: • Answer each question in the space provided. • No calculators are allowed. • Show all appropriate work. Answers not supported by appropriate work will not receive credit; partial credit will be given for progress towards a solution. Question Points 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 0 10 0 11 0 Total: 0 Score 4 December, 2013 Exam 3, Page 3 of 9 Math 1100 4. Evaluate each indefinite integral. Remember the constant of integration! (a) f 2 2x(x + 4)1 dx (L X IX 2 S -) 1 (K &x (2 I (b) dx I 2x —3 4 J - \ lx’3J Math 1100 Exam 3, Page 5 of 9 6. Evaluate the integral if it converges. 100 I 1 J ja f ix j zL 0—-i -i —dx 3 x 4 December, 2013 Math 1100 Exam 3, Page 7 of 9 8. Find the general solution to the following 4 December. 2013 differential ecluation. dy d = 1 Jg ydy J;cx Li 1(JX) - h, 9. Find the solution to the following differential equation that passes through the point (32). dy +3 2 x dx 3 2 y 3 y tcly X’L4 ci x )(3 x -s -:x 3 4-X y (&) -t-( Exam 3, Page 9 of 9 Math 1100 4 December, 2013 11. (5 bomis points) Use integration to find the area of a triangle shown below. Its vertices are at (-1,-3), (4,2), and (3,5). Note: Partial credit may be given for szgnificant progress towards a solution. You must use integration or you will not receive credit. y C- Iit A: LI Z(x-) Af (z) -(x-?) SK :J 3 -i L xxJ c?x 3 )f;: 2(3)+ i+ X] 1xj ylx1 g: )-(-i)J ‘5- 7.3 1() y-2 0 C: h’. S-Z - y_s y i.:. ?(f9S lLj 4 -3 3 -3 L--3ô - J (-1A-2) ÷z)