answer a and b only

Problem 1 [Approximation using Differentials]: Resistors R1 = 10 0 and R2 = 40 0 are connected in parallel. Unlike R1, R2 is temperature-dependent i.e., its value changes when temperature changes. If a temperature change causes R, to have a new value of 40.1 0, find the following: a. The equivalent resistance of the parallel connection of R1 and R2 before the temperature change; b. The approximate equivalent resistance of the parallel connection of R, and R2 after the temperature change using differentials (Answers in fraction form.); c. The relative error (in percent form) involving differentials i.e., dy/y (Answers in fraction form.); d. Repeat (a) through (c) but instead of 40.1 0, use 40.01 0 as the new value of R2 after the temperature change; e. Compare the relative errors in part (c) and in part (d). Draw a brief conclusion based on your observations. Two resistors R1 and R2 connected in parallel have an equivalent resistance Req of R. R2 Req R1 + R2