Answers to 151 WIR wk 7 3.10-3.12

1. 800π cubic cm. per minute

2. about 85 mph

3. .064 rad/sec.

4. a) 3 ft/sec b) ft/sec

5. 4/5 ft/min

6. a) -.04R b) .04 or 4%

7. a) .03 b) .32π cubic cm

8.

9. The approximation is .96573 (The actual value is .9659...)

10. a) 5.2 b) 5.25

11. Since 1 is too small and 2 is too big, the first guess could be 1.5

Then x2=1.49537037 and x3=1.495348796 agrees to 4 decimal places so we conclude

the root is 1.4953 accurate to 4 decimal places.

12. If you use f(x)=x^(1/3) then x(n+1) simplifies to -2x(n) so x(n) will not have a limit but will grow and alternate in sign.