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61

If the determinant of the matrix \(\begin{pmatrix} 2 & x \\ 3 & 5 \end{pmatrix} = 13\), find the value of x.

  • A. -2
  • B. -1
  • C. 1
  • D. 2
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62

Express \(\frac{13}{4}\pi\) radians in degrees.

  • A. 495°
  • B. 225°
  • C. 585°
  • D. 135°
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63

Find the equation to the circle \(x^{2} + y^{2} - 4x - 2y = 0\) at the point (1, 3).

  • A. 2y - x -5 = 0
  • B. 2y + x - 5 = 0
  • C. 2y + x + 5 = 0
  • D. 2y - x + 5 = 0
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64

Given that \(y = x(x + 1)^{2}\), calculate the maximum value of y.

  • A. -2
  • B. 0
  • C. 1
  • D. 2
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65

The midpoint of M(4, -1) and N(x, y) is P(3, -4). Find the coordinates of N.

  • A. (2, -3)
  • B. (2, -7)
  • C. (-1, -3)
  • D. (-10, -7)
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