Questions: Question 9 of 35 Source: Adjusted from Quantum Mechanics A. What is the following expression? A. A name for a source justification B. e^(ipx) = cos(px) + i sin(px) (Position representation of a plane wave from a wave packet.) C. e = mc^2 D. A name for a degree requirement course title (e.g. PHYS 2906)

Question 9 of 35
Source: Adjusted from Quantum Mechanics A. What is the following expression?
A. A name for a source justification
B. e^(ipx) = cos(px) + i sin(px) (Position representation of a plane wave from a wave packet.)
C. e = mc^2
D. A name for a degree requirement course title (e.g. PHYS 2906)
Transcript text: Question 9 of 35 Source: Adjusted from Quantum Mechanics A. What is the following expression? A. A name for a source justification B. e^{ipx} = cos(px) + i sin(px) (Position representation of a plane wave from a wave packet. ) C. e = mc^2 D. A name for a degree requirement course title (e.g. PHYS 2906)
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Solution

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Solution Steps

Step 1: Understand the Problem

The problem asks which sequence of transformations will result in a figure that is in Quadrant II, given that it starts in Quadrant I.

Step 2: Analyze the Options

We need to determine which sequence of transformations will move the figure from Quadrant I to Quadrant II.

Step 3: Evaluate Each Option
  • Option A: Rotate 180 degrees counterclockwise, then shift 1 unit down.
    • A 180-degree rotation will move the figure to Quadrant III.
    • Shifting 1 unit down will keep it in Quadrant III.
  • Option B: Rotate 90 degrees counterclockwise, then shift 1 unit down.
    • A 90-degree rotation will move the figure to Quadrant II.
    • Shifting 1 unit down will keep it in Quadrant II.
  • Option C: Rotate 270 degrees counterclockwise, then shift 1 unit left.
    • A 270-degree rotation will move the figure to Quadrant IV.
    • Shifting 1 unit left will keep it in Quadrant IV.
  • Option D: Rotate 90 degrees counterclockwise, then shift 1 unit up.
    • A 90-degree rotation will move the figure to Quadrant II.
    • Shifting 1 unit up will keep it in Quadrant II.

Final Answer

The correct sequence is:

  • Option B: Rotate 90 degrees counterclockwise, then shift 1 unit down.
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