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This test consists of 5 multiple choice questions, 5 short answer questions, and 10 short essay questions.

Multiple Choice Questions

1. The author asserts in Chapter 8, “Zero Hour at Ground Zero” that today astronomers estimate the universe as being how old?
(a) 10 billion years.
(b) 4 billion years.
(c) 15 billion years.
(d) 2 billion years.

2. The author says in Chapter 6, “Infinity’s Twin” that by employing the concept of infinity, Johannes Kepler showed that ellipses and what were the same?
(a) Limits.
(b) Tangents.
(c) Parabolas.
(d) Derivatives.

3. Jean le Rond d'Alembert came up with what idea that solved the zero problem in calculus?
(a) A quanta.
(b) An equation.
(c) A derivative.
(d) A limit.

4. The author suggests in Chapter 8, “Zero Hour at Ground Zero” that zero might spawn universes through a froth of what?
(a) Quantum gravity.
(b) Quantum memory.
(c) Quantum disparity.
(d) Quantum foam.

5. What term in geometry refers to a straight line that just touches a plane curve at a given point?
(a) A divergent.
(b) A hyperbole.
(c) A tangent.
(d) A gravitational pull.

Short Answer Questions

1. Calculus allowed Newton to combine the known natural laws of physics into one grand set of laws that could be expressed as what?

2. When was Jean le Rond d'Alembert born?

3. What mathematical term refers to a function giving an exact pairing of the elements of two sets?

4. What principle holds that there is an inverse relation between the fineness with which a particular's location can be determined and the fineness with which its velocity can be determined?

5. The Rayleigh–Jeans law agrees with experimental results at large wavelengths but strongly disagrees at short wavelengths. What is this inconsistency known as?

Short Essay Questions

1. Who created calculus? How did calculus differ from the other mathematical fields, according to the author in Chapter 5, “Infinite Zeros and Infidel Mathematicians”?

2. How does the elimination of zero help general relativity theory, according to the author in Chapter 8, “Zero Hour at Ground Zero”?

3. What problem does zero present when calculating tangent lines? What is a tangent?

4. How old is the universe estimated to be by astronomers today? How did they calculate this age?

5. What does the author say thermodynamics has taught us in Chapter 7, “Absolute Zeros”?

6. Who discovered “absolute zero”? How is absolute zero defined in Chapter 7, “Absolute Zeros”?

7. What was discovered by Albert Einstein’s solution to the photoelectric effect?

8. How many dimensions are required for string theory to work? How are these dimensions described in Chapter 8, “Zero Hour at Ground Zero”?

9. What are differential equations? Who first developed differential equations?

10. How is string theory described by the author in Chapter 8, “Zero Hour at Ground Zero”?

(see the answer keys)

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