MATH 213 Midterm: MATH 213 NJIT m213Exam2 F06

• School: New Jersey Institute of Technology
• Department: Mathematical Sciences
• Course: MATH 213
• Professor: All

Document Summary

Please show all your work for each problem! Use only those methods discussed thus far in class. No calculators: (18 points) (a) use the chain rule to nd the partial derivatives w. V , where w = 3xy + y3 1, x = 2u + v2, y = u3 3v, when u = 1 and v = 2. (b) integrate: What is its maximum rate of change there: (14 points) the total resistance r of two resistors with resistances r1 and r2 con- nected in parallel is given by the following well-known formula: Suppose that r1 and r2 are measured to be 300 and 600 ohms, respectively, with an error of 15 ohms in each measurement.