MAT 127 Midterm: mt2s08
31 Jan 2019
School
Department
Course
Professor
Document Summary
Your university id number: no calculators are allowed on this exam, please show all of your work. You may use backs of pages if necessary. You might not receive full credit for a correct answer if there is no work shown: you do not need to simplify all the way (but please evaluate trig functions when possible). Acceptable answer: (4(22) 2) (4 1). 1: (20 pts) consider the following plate, submerged vertically under water. 2 (a) write down an integral representing the length of the curve. Do not evaluate the integral. (b) which of the following integrals integral represents the total force f (in newtons) on the plate? (distance above is measured in meters. You do not need to show any work. ) (1000)(9. 8)( y) 2py + 2 dy. 2: z 0, z, z 0, (1000)(9. 8)2z. X2 + 4 dx: (22 pts) (a) (12 pts) compute the following improper integral. Give the value if convergent, or show that it diverges.
