Homework 1

6, 8, 10, 14, pg. 1190
20, 21 pg. 1191
25, pg. 1193
36, 38, 40, pg. 1194
8, 12, 14, pg. 1211
18, 20, 26, pg. 1212
43, pg. 1214

Homework 2

14, 16, 18, 24, pg. 1230
30, 34, pg. 1231
42, 44, pg. 1233
8, 10, 16, 20, 24, pg. 1253
26, pg. 1254
32, 34, pg. 1255

Homework 3

12,14, 16, pg. 1272
22, 24, 30, 32, 34, pg. 1273
8, 12, 18, 22, 28, pg. 1287
30, 34, pg. 1288
44, 48, 50, pg. 1290

Homework 4

8, 10, 12, 16, 18, 22, pg. 1333
24, 26, 34, 36, pg. 1334
44, 46, pg. 1335
8, 10, 12, 14, 16, 20, 22, pg. 1348
26, 28, 34, 36, pg. 1349
42, 44, pg. 1350
54, 56, pg. 1351

Homework 5

8, 10, 12, 20, 22, 26, 30, pg. 1370
32, 34, 38, 40, pg. 1371
8, 10, 12, 16, 18, pg. 1387
22, 24, 26, 28, 30, pg. 1388
46, pg. 1389

Homework 6

8, 10, 12, 14, 16, 18, 20, 26, 28, pg. 1405
32, 34, 36, pg. 1406
39, pg. 1407
42, 44, pg. 1408

Robot Problem Set 1

Make a robot that goes to a wall infront of it and returns to its original position<

Math Problem Set 1

1.\(\displaystyle{\lim_{x \to -3} \frac{x^2-9}{x^2+2x-3}} \)
2.\(\displaystyle{\lim_{h \to 0} \frac{\left( h-1 \right)^3 +1}{h}} \)
3.\(\displaystyle{\lim_{x \to \infty} \frac{\sqrt{x^2-9}}{2x-6}} \)
4. \(\displaystyle{\lim_{x \to 1}\left(\frac{1}{x-1}+\frac{1}{x^2-3x+2}\right)}\)
5. \(\displaystyle{\lim_{x \to \infty} \left(\sqrt{x^2+4x+1}-x\right)}\)
6. \(\displaystyle{\lim_{x \to 0} \frac{\sin\left(x\right)}{x}}\)
7. \(\displaystyle{\lim_{x \to 0}\frac{1-e^x}{x}}\)
8. \(\displaystyle{\lim_{h \to 0} \frac{\left(x-h\right)^3-x^3}{h}}\)
9. \(\displaystyle{\lim_{h \to 0} \frac{\sqrt{x+h}-\sqrt{x}}{h}}\)
10. \(\displaystyle{\lim_{h \to 0}\frac{\frac{1}{x+h}-\frac{1}{x}}{h}}\)

Homework 7

7, 9, 15, 19, 21, pg. 1440
22, 23, 26, pg. 1441
28, 30, pg. 1442
41, 43, 44, pg. 1443
8, 10, 14, 18, pg. 1463
24, 26, 30, 32, pg. 1464
42, 44, pg. 1466

Homework 8

8, 10, 14, 16, pg. 1480
22, 24, 28, 30, pg. 1481
34, 36, pg. 1482
46, 48, pg. 1483
8, 10, 16, 18, pg. 1499
24, 26, 32, 34, pg. 1500
36, 38, pg. 1501
44, 46, pg. 1502

Homework 9

8, 10, 12, 14, 16, 22 pg. 1520
26, 28, 30, pg. 1521
30, 32, 36, pg. 1522

Homework 10

8, 10, 12, 16, 18, 20, pg. 1537
28, 30, 32, pg. 1539
34, pg. 1540

Homework 11

12, 14, 18, 20, 22, 24, pg. 1581
30, 32, 39, 40, 41, pg. 1582
50, 53, pg. 1583
8, 10, 12, pg. 1598
14, 16, 18, 20, 24, pg. 1599
30, 32, pg. 1600

Homework 12

10, 12, 14, 16, pg. 1614
18, 22, 24, 26, 28, pg. 1615
34, 36, pg. 1616
38, 42, pg. 1617
8, 10, 12, 14, pg. 1634
16, 18, pg. 1635
20, 22, 24, pg. 1636
26, 28, 30, pg. 1637

Homework 13

7, 8, pg. 1650
10, 11, pg. 1651
13, 14, pg. 1652
1, 3, pg. 1669
8, 10, pg. 1670
12, 13, pg. 1671

Homework 14

6, 8, 10, pg. 1686
12, 14, pg. 1687
16, 18, pg. 1688
20, pg. 1689
8, 10, 12, 14, 16, 18, 20, 22, 24, pg. 1718

Homework 15

26, 28, pg. 1719
32, 35, 36, pg. 1720
37, 40, 42, pg. 1721
8, 10, pg. 1734
11, 13, 16, pg. 1735
19, 22, pg. 1736
24, 26, 28, pg. 1737

Homework 16

8, 10, 12, 14, 16, 18, pg. 1788
20, 22, pg. 1789
28, pg. 1791
8, 10, 12, 14, 16, 18, pg. 1811
22, 24, 26, pg. 1812
30, 32, pg. 1813
45, 46, pg. 1816

Homework 17

8, 10, 12, 14, 16, 19, pg. 1841
24, 26, pg. 1842
28, 30, 32, pg. 1843
38, 42, pg. 1844
50, 54, pg. 1845
8, 10, 12, 14, pg. 1864
18, 20, 22, 24, 26, pg. 1865
28, 30, 32, 34, pg. 1866
38, 40, 42, 44, pg. 1867

Homework 18

For the Matrices in problems 15, 16, 18, 19, 20, 21, pg. 1850, find the inverse using Gaussian elimination. If the inverse does not exist state why.

Homework 19

8, 10, 12, 14, 16, 18, pg. 1887
20, 22, 24, 26, pg. 1888
36, 38, pg. 1890
8, 10, 14, 16, pg. 1903
20, 22, 28, 30, 32, 38, pg. 1904
40, 42, 44, pg. 1905

Homework 20

8, 12, pg. 1943
16, pg. 1944
8, 10, 12, 13, 15, 18, 20, 22, 24, pg. 1963
6, 8, 12, 16, 18, 20, pg. 1980
26, 28, 30, pg. 1981

Coming Soon!

CNY Assignment:

Consider a planet of mass \(6 \times 10^{24} \textrm{kg}\) and radius \(6 \times 10^3 \textrm{km}\). The planet has a moon with mass \(7 \times 10^{22} \textrm{kg}\) and radius \(2 \times 10^3 \textrm{km}\). The moon travels perpendicular to the line connecting the centers of the planets with a speed of \(v=2 \times 10^3 \textrm{km}\) when it has a distance of \(4 \times 10^5 \textrm{km}\) from the center of mass of the planet. Estimate the distance between the two foci of the orbit. Turn in your code, calculations, and a graph of the moon. (5 points)

Examples: Numbers and Javascript

Alright let's try to solve this problem with numbers!

This is what a blank numbers document looks like. It's good to put your constants in their own cells. To get a cell to put in numerical numbers you can use the black "123" button to put in numbers and the black "=" button to put in equations.

Once you get everything ready you need to input the equation for acceleration. All accelerations should be from equations. Your initial position and velocity should be numbers from the problem.

The components of position and can be updated using the constant acceleration equations.

The components of velocity and can also be updated using the constant acceleration equations.

You can autofill the cells below your equation. Tap on the cell with the keyboard hidden and click on the option "Cell Actions". Then click on "Autofill Cells". This will let you autofill the cells.

Here's the cell I used to plot the surface of the Earth.

Here's my graph. You can make a graph by clicking on the "+" and navigating to the graph button.

JavaScript Link

Here's my graph using javascript and Chart.js.

This