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