MATH 141 Midterm: MATH141H_BOYLE-M_FALL2003_0101_MID_EXAM_3

• School: University of Maryland
• Department: Mathematics
• Course: MATH 141
• Professor: All

Document Summary

[0, 2 ]: (10 points) write (but do not compute) a de nite integral which computes the length of the graph f (x) = esin(x) , As the raising begins, a sniper bullet punctures the bucket, which then leaks water at a rate of one pound per 6 seconds. How much work is done raising the bucket: (20 points) let r be the region bounded between the graphs of f (x) = 3x and g(x) = x2. Write the x and y coordinates of the center of mass of the region in terms of certain explicit integrals. Do not take the time to compute numerical values for these integrals: (a) (10 points) suppose z = 1 + i. Plot z and z in the complex plane. Compute the polar form of z. compute the polar form of 1/z.