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

Coming Soon!

Coming Soon!

Coming Soon!

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.