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4a In the imaginary case that T=0, what would the depth be?
20

W3 Example 4 Answers

Aug 05, 2015

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Page 1: W3 Example 4 Answers

4a In the imaginary case that T=0, what would the depth be?

Page 2: W3 Example 4 Answers

4a • State a, b and c for the quadratic:

Page 3: W3 Example 4 Answers

4a • State a, b and c for the quadratic:

Page 4: W3 Example 4 Answers

4a • State a, b and c for the quadratic:

• Substitute a, b and c into the quadratic formula and simplify:

Page 5: W3 Example 4 Answers

4a • State a, b and c for the quadratic:

• Substitute a, b and c into the quadratic formula and simplify:

Page 6: W3 Example 4 Answers

4a • State a, b and c for the quadratic:

• Substitute a, b and c into the quadratic formula and simplify:

Page 7: W3 Example 4 Answers

4a • State a, b and c for the quadratic:

• Substitute a, b and c into the quadratic formula and simplify:

• Solve for the two possible roots:

Page 8: W3 Example 4 Answers

4a • State a, b and c for the quadratic:

• Substitute a, b and c into the quadratic formula and simplify:

• Solve for the two possible roots:

Page 9: W3 Example 4 Answers

4a • State a, b and c for the quadratic:

• Substitute a, b and c into the quadratic formula and simplify:

• Solve for the two possible roots:

Page 10: W3 Example 4 Answers

4a • State a, b and c for the quadratic:

• Substitute a, b and c into the quadratic formula and simplify:

• Solve for the two possible roots:

• Depth cannot be negative so z1 is not a valid answer.

Page 11: W3 Example 4 Answers

4b More realistically, at what depths does the equation predict that the temperature will reach 2000°C?

Page 12: W3 Example 4 Answers

4b • Substitute the temperature into the equation:

Page 13: W3 Example 4 Answers

4b • Substitute the temperature into the equation:

Page 14: W3 Example 4 Answers

4b • Substitute the temperature into the equation:

• Rearrange the equation into the form 0 = az2 + bz + c:

Page 15: W3 Example 4 Answers

4b • Substitute the temperature into the equation:

• Rearrange the equation into the form 0 = az2 + bz + c:

Page 16: W3 Example 4 Answers

4b • Substitute the temperature into the equation:

• Rearrange the equation into the form 0 = az2 + bz + c:

Page 17: W3 Example 4 Answers

4b • Substitute the temperature into the equation:

• Rearrange the equation into the form 0 = az2 + bz + c:

• Substitute the values of a, b and c into the quadratic formula and solve for the two roots:

Page 18: W3 Example 4 Answers

4b • Substitute the temperature into the equation:

• Rearrange the equation into the form 0 = az2 + bz + c:

• Substitute the values of a, b and c into the quadratic formula and solve for the two roots:

Page 19: W3 Example 4 Answers

4b • Substitute the temperature into the equation:

• Rearrange the equation into the form 0 = az2 + bz + c:

• Substitute the values of a, b and c into the quadratic formula and solve for the two roots:

Page 20: W3 Example 4 Answers

4b • Substitute the temperature into the equation:

• Rearrange the equation into the form 0 = az2 + bz + c:

• Substitute the values of a, b and c into the quadratic formula and solve for the two roots: