MATH-275 Midterm: MATH 275 Boise State Exam2b short

• School: Boise State University
• Department: Mathematics
• Course: MATH-275
• Professor: All

Document Summary

Math 275 - summer 2016 - exam 2b. Part 1: short answer: the rst ve (5) pages are short answer, answers must use proper notation, work is not required. Partial credit will be rare: (10 points) the pressure p of a gas is a di erentiable function of temperature t and volume v . Here is a list of di erent computations using the pressure function p : (a) the function: p (t, v ) (b) the gradient: (c) the directional derivative: d up. P (d) the partial derivative: (e) the partial derivative: V (f) the local linerization: l(x, y) (g) the di erential: dp (or p ) For each of the following situations, write the letter of the appropriate computation in the blank provided. Find the exact pressure at a given temperature and volume. Find the rate of change in pressure if temperature were to increase by 2 and volume were to decrease by 3.