Polytechnic Mathematics 2 — Questions and Answers
Question 1: What is the value of log₂(64)?
- 6 (Correct answer)
- 8
- 4
- 5
Correct answer: 6
log₂(64) = 6 because 2⁶ = 64.
Question 2: Which of the following is NOT a property of a normal distribution?
- It is always skewed to the right (Correct answer)
- It is symmetric about the mean
- Mean equals median equals mode
- About 68% of data falls within one standard deviation
Correct answer: It is always skewed to the right
A normal distribution is symmetric and not skewed in any direction.
Question 3: What is the sum of interior angles of a hexagon?
- 720° (Correct answer)
- 540°
- 900°
- 360°
Correct answer: 720°
Using the formula (n-2) × 180°, a hexagon has (6-2) × 180° = 720°.
Question 4: What does the dot product of two perpendicular vectors equal?
- 0 (Correct answer)
- 1
- -1
- The magnitude of either vector
Correct answer: 0
The dot product of two perpendicular vectors is 0 because cos(90°) = 0.
Question 5: What is the general solution form of a first-order linear differential equation?
- Homogeneous solution plus particular solution (Correct answer)
- Only the particular solution
- Only the homogeneous solution
- The product of homogeneous and particular solutions
Correct answer: Homogeneous solution plus particular solution
The general solution is the sum of the homogeneous (complementary) solution and the particular solution.
Question 6: What is the value of e⁰?
- 1 (Correct answer)
- 0
- e
- Undefined
Correct answer: 1
Any nonzero number raised to the power 0 equals 1, so e⁰ = 1.
Polytechnic Mathematics 2
What is the value of log₂(64)?