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

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

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

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

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

8, 10, 12, 14, 16, 18, 20, 26, 28, pg. 1405

32, 34, 36, pg. 1406

39, pg. 1407

42, 44, pg. 1408

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

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. \(\displaystyle{\lim_{h \to 0}\frac{\frac{1}{x+h}-\frac{1}{x}}{h}}\)

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

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

8, 10, 12, 14, 16, 22 pg. 1520

26, 28, 30, pg. 1521

30, 32, 36, pg. 1522

8, 10, 12, 16, 18, 20, pg. 1537

28, 30, 32, pg. 1539

34, pg. 1540

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

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

7, 8, pg. 1650

10, 11, pg. 1651

13, 14, pg. 1652

1, 3, pg. 1669

8, 10, pg. 1670

12, 13, pg. 1671

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

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

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

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

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.

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

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!

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)

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

This