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Math Exercises Solutions.pdf

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Preview of Math Exercises Solutions
🔗 Source: syneirmos.gr
📊 Size: 728 KB
👤 Author: NICOLAS YIASOUMIS
⬇️ Downloads: 148

Summary

The proposed solutions to the math problems are as follows:
1. (α) The total surface area of the rectangular parallelepiped is 94cm²,
(β) the volume is 60cm³.
2. (α) The mean value of the scores is 8,
(β) the median value of the scores is 8.
3. The derivative of the function y = x⁴ - 3x² + 2 is dy/dx = 4x³ - 6x.
4. The number of anagrams of the word ΑΝΑΔΟΧΟΣ is 10080.
5. The customer will pay €663 for the annual subscription.
6. The integral of (5x⁴ - 3x² + 2sinx)dx is x⁵ - x³ + 2cosx + c.
7. The general solution of the trigonometric equation sin3x = sin45° is x = 120°k ± 15°, k ∈ ℤ.
8. The solutions to the system of equations are x = 2, y = -3 or x = 3, y = -2.
9. (α) The height of the pyramid is 6cm,
(β) the total surface area of the pyramid is 576cm²,
(γ) the volume of the pyramid is 512cm³.
10. (α) The probability that the student prefers only horror movies is 11/20,
(β) the probability that the student prefers at least one of the two types of movies is 4/5.

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Description

The proposed solutions to the math problems are as follows:
1.

Technical Information

  • File Format: PDF
  • File Size: 728 KB
  • Pages: 10
  • Language: EN
  • Author: NICOLAS YIASOUMIS
  • Total Downloads: 148
  • Last Updated: 2 weeks ago

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