**Homework ****MATH
2182H Sp 2018: Honors Calculus II **

**Instructor:** Rodica D. Costin

*
***Solve for practice:**

**15.2**: 1, 2, 3 and plot
the parabolas in 3, 9

**15.3:** 1,
3, 4

**15.4:** 1,3,5,7, 17, 18, 19, 24a

*15.6: complete the squares and
identify the curves in problems 1,3,5. Here are their graphs, plotted
with Maple.*

*A
picture showing the plane of the ecliptic.*

*Visitor
from outside the solar system, identified by its
hyperbolic trajectory.*

**16.1: **1, 5, 9b

**16.2: **1, 2ab, 4 aegh, 5
abcdef, 6abcd

*
***Write up and turn in
for grading on T Jan.**** 1***6*:

15.2: 1a,f; plot the parabolas 3b,e; 9

15.3: 3d,e,f,
9, 11

15.4: 18, 24a

15.6: complete the squares and identify the curves (that is,
name them) in problems 2,4,6

16.1: 1j,l, 4, 6a 16.2: 5 def, 6 bcd

16.2: 2b, 4e, 6g, 10a

**Solve for practice:**

16.3 1,2,7,13,15,17

16.4: 5, 11, 14, 17 and also

16.5: you should be able to solve all the problems there

17.1:1, 3

**Write up and turn in for grading
on T Jan.**** 23:**

16.3: 2,7,11

16.4: 6, 10, 12, 15 and also 3ab, 4,
18, 19

16.5: 2,4,6,7

17.1: 11, 13

**Solve for practice:**

17.1: from 1 to 13

17.2: 1,7,11

Cycloid

Hypocycloids: a=3,b=1 a=4,b=1 a=5,b=1
a=7,b=3 a=15,b=4
a=Pi,b=2

17.3: 3, 10, 11

17.4: 1,3

**Write up and turn in for grading
on T Jan.**** 30 (midterm day! You can bring a cheat sheet:
one regular size paper with your own notes. No books, textbooks or
electronic devises are allowed.**

17.1: 4, 6, 8

17.2: 2, 6, 8

17.3: 4, 6, 8

17.4: 2, 4

**Write
up and turn in for grading on T Feb 7**** **

**17.4**: 6, 10, 12

**17.5**:
2cd, 6, 7 and 13

**17.6**:** **2, 4, 8, 12

How
to find the weight of Earth

Who
figured out the shape of the Earth

Why
leap years?

Cavendish
experiment

Maple code for
graphing evolutes, and their history

**and** **Solve more problems, for practice, **here are problems not to
miss:

**17.4:** you should be
able to solve all problems here

**17.5:** you should be
able to solve all problems here

**Write
up and turn in for grading on T Feb 13:**** **

**17.7**:
(To build intuition for
**u**r and **u**theta:) A point is in uniform circular
motion: **R**(t)=a cos(omega t)**i**+a sin(omega t)**j**. Find the
radial and angular components of the velocity and of acceleration.
Find a physical intuition for your results.

**17.7**: 2

18.1:
4c,
6cd, 8, 10a, 12, 14a, 16a **AND **17 and 13 done in class
needs correction

18.2: 2, 4b, 6, 8a, 10 **AND **21, 22

18.3: 2, 6, 10, 12

**Write
up and turn in for grading on T Feb 20:**

18.4: 4, 6, 8, **AND**** **10a,
14a, 15, 16, 20, 22, 24 **AND **19,
25, 26, 27, 30

**18.5: **1, 2, 6, 10, 15(do not just use the formula in 14,
but deduce it), 16

AND 12, 13c

**and** **Solve more problems, for practice,**

18.4: **you should be able to solve all
the problems there**** **

**Sign
up for the math competition! **