MATH 140 Midterm: MATH140H BOYLE-M FALL2010 0101 MID EXAM

• School: University of Maryland
• Department: Mathematics
• Course: MATH 140
• Professor: All

Document Summary

No books, no notes, no calculators: (a) (5 points) suppose a and l are real numbers and f is a function de ned on an open interval containing a. Finish the de nition: f is continuous at a if (b) (15 points) prove that there is a positive number x such that x cos(x) = 100. (30 points) evaluate each of the following. 2. number, + , , or does not exist . 3. (a) (10 points) find all values of in [0, 2 ] such that 2[sin( ) sin3( )] = sin( ). (b) (5 points) suppose tan(c) = 3 and 0 < c < . Find the value of sin(c): (15 points) give an epsilon-delta proof that limx 1 3x2 + 2x + 5 = 10, (20 points)