MAT 21A Midterm: MAT_21A_FQ2017 Exam

• School: UC-Davis
• Department: Mathematics
• Course: MAT 21A
• Professor: All

Document Summary

Well-organized and explained responses will receive more credit. Q1 scratch/extra space (do not erase your scratch computations, they might earn partial credit): De ne what the symbols mean (include a picture in your answer). Use your de nition to prove that lim x a+ f (x) = lim x 0+ Q2 scratch/extra space (do not erase your scratch computations, they might earn partial credit): Compute the following quantities (do show your work): (i) lim x x2 + 2x + 2 x2 + 2x + 1 (ii) d(xx) (iii) lim x 0. 1 + x 1 x (iv) d(cid:0)x(x + 1)(x + 2)(x + 3)(x + 4)(x + 5)(x + 6)(x + 7)(x + 8)(cid:1) dx. Q3 scratch/extra space (do not erase your scratch computations, they might earn partial credit): A 4" tall turkey stands 2" away from the base of a lamppost at night and casts a 1" shadow. The turkey then saunters1 away from the lamppost at 1"/second.