Problems due Oct. 30

Wednesday Oct 25

Topics: 4.5
Solve, write-up and turn in: Sec. 4.5: 3,  4, 5, 11

Thursday Oct 26

Topics: tangent, lienar approximation, differential, 5.3
Solve: Sec. 5.3: 1, 3, 9, 37, 43
Solve, write-up and turn in: Sec. 5.3: 13,  15, 23, 31, 44, 45, 47, 53, 57, 63 a,c, 67b, 69
1. a) Use a linear approximation to find an approximation for the cubic root of 1.2 and for the cubic root of 2. Hint
b) The exact values are: (cubic root of 1.2)=1.0626... and (cubic root of 2)=1.2599...
How do you explain the fact that the approximation you obtained at a) was better for the  (cubic root of 1.2)
than for the (cubic root of 2)?

Friday Oct 27

Topics:  5.4, 5.5 (Examples 1,2). 6.3
Solve, write-up and turn in: Sec. 5.4: 6, 11, 15 (see below), 19
(to check that a given function y is a solution, plug in the formula for y in the equation and see that you have equality for all x)
Sec 5.5: 5, 9, 12
Sec. 6.3: 1d, e, f,  9 (to note the cancellations in b expand the sum: write the first 3 or 4 terms+...+last term.)
Additional problems for Ch 5 (p. 188): 4, 8, 13, 19, 27, 31