CALCULUS 2 HONORS: TEST 2 REVIEW SHEET

• Section 6.5 Average Value of a Function

-Examples p. 463 #1, 3

• Section 6.6 Applications to Physics and Engineering

-Spring Problems (Know Hooke’s Law and how to find Work) p.472 #5,6,7 & Spring Worksheet

-Work to Pump Fluid from a Tank p. 473 #17,19,20,21 & Work Emptying Tank Worksheet

-Work lifting p. 473 # 11,13,15 Work Lifting... Worksheet

-Hydrostatic Force p. 474 #31, 32, 33, 35, 37 Hydrostatic Worksheet 1 &Hydrostatic Worksheet 2

-Moments & Centers of Mass p.474 #45, 47, 49

• Section 7.1 Modeling with Differential Equations

-p. 498 #1, 5, 11

• Section 7.2 Direction Fields and Euler’s Method

-p. 506 #1, 3,5,11,21,23

• Section 7.3 Separable Equations

-Separable equations p. 514 # 1,3,11, 13,33,35

-Orthogonal Trajectories p. 514 #29,31 p. 548 # 9, 10

-Mixing Problems p. 515 #45, 48 Mixing Problems Worksheet

-Draining Problems (Look at examples we’ve done in class)

• Section 7.4 Exponential Growth

- Know the equation that represents exponential growth/decay in box 2 on p. 520.

-Examples p. 527 #1, 5, 9

-Know Newton’s Law of Cooling, ex. p. 528 #13, 15