Mathematics

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Q. What is the coefficient of x^2 in the expansion of (x + 5)^4?
  • A. 50
  • B. 100
  • C. 150
  • D. 200
Q. What is the coefficient of x^2 in the expansion of (x - 2)^5?
  • A. -40
  • B. -20
  • C. 20
  • D. 40
Q. What is the coefficient of x^3 in the expansion of (5x + 2)^6? (2000) 2000
  • A. 600
  • B. 720
  • C. 800
  • D. 900
Q. What is the coefficient of x^3 in the expansion of (x + 5)^8?
  • A. 2800
  • B. 3360
  • C. 4000
  • D. 4200
Q. What is the coefficient of x^3 in the expansion of (x - 1)^5? (2022)
  • A. -10
  • B. 10
  • C. 5
  • D. 15
Q. What is the coefficient of x^3 in the expansion of (x - 2)^6?
  • A. -80
  • B. -120
  • C. -240
  • D. -720
Q. What is the coefficient of x^4 in the expansion of (2x + 5)^6? (2022)
  • A. 150
  • B. 300
  • C. 600
  • D. 450
Q. What is the coefficient of x^4 in the expansion of (3x + 2)^6?
  • A. 540
  • B. 720
  • C. 810
  • D. 900
Q. What is the coefficient of x^4 in the expansion of (x + 1)^8? (2020)
  • A. 70
  • B. 56
  • C. 28
  • D. 8
Q. What is the coefficient of x^4 in the expansion of (x + 2)^6?
  • A. 15
  • B. 60
  • C. 90
  • D. 120
Q. What is the coefficient of x^5 in the expansion of (2x - 1)^6?
  • A. 32
  • B. 48
  • C. 64
  • D. 80
Q. What is the coefficient of x^5 in the expansion of (x + 4)^7? (2020)
  • A. 672
  • B. 6720
  • C. 1680
  • D. 840
Q. What is the coefficient of x^6 in the expansion of (x + 3)^8? (2020)
  • A. 56
  • B. 84
  • C. 112
  • D. 128
Q. What is the coefficient of x^6 in the expansion of (x + 3)^9? (2020)
  • A. 84
  • B. 126
  • C. 36
  • D. 54
Q. What is the coefficient of x^7 in the expansion of (2x - 3)^8? (2022)
  • A. -6720
  • B. 6720
  • C. -3360
  • D. 3360
Q. What is the coordinates of the centroid of the triangle with vertices (0, 0), (6, 0), and (3, 6)? (2022)
  • A. (3, 2)
  • B. (2, 3)
  • C. (3, 3)
  • D. (4, 2)
Q. What is the cross product of vectors A = i + j and B = j + k? (2022)
  • A. i + k
  • B. i - k
  • C. j - i
  • D. k - j
Q. What is the derivative of f(x) = 1/x?
  • A. -1/x^2
  • B. 1/x^2
  • C. -x
  • D. x
Q. What is the derivative of f(x) = 2x^3 - 9x^2 + 12x? (2021)
  • A. 6x^2 - 18x + 12
  • B. 6x^2 - 18x
  • C. 6x^2 + 18x
  • D. 6x^2 - 12
Q. What is the derivative of f(x) = 3x^2 + 5x - 7? (2021) 2021
  • A. 3x + 5
  • B. 6x + 5
  • C. 6x - 5
  • D. 3x^2 + 5
Q. What is the derivative of f(x) = 5x^4?
  • A. 20x^3
  • B. 5x^3
  • C. 15x^3
  • D. 4x^3
Q. What is the derivative of f(x) = e^(2x)?
  • A. 2e^(2x)
  • B. e^(2x)
  • C. e^(x)
  • D. 2x*e^(2x)
Q. What is the derivative of f(x) = x^3 - 4x + 6?
  • A. 3x^2 - 4
  • B. 3x^2 + 4
  • C. x^2 - 4
  • D. 3x^2 - 6
Q. What is the derivative of f(x) = x^3 - 4x?
  • A. 3x^2 - 4
  • B. 3x^2 + 4
  • C. x^2 - 4
  • D. 3x^2 - 2
Q. What is the derivative of f(x) = x^4 + 2x^3 - x + 1? (2017)
  • A. 4x^3 + 6x^2 - 1
  • B. 4x^3 + 2x^2 - 1
  • C. 3x^3 + 6x^2 - 1
  • D. 4x^3 + 2x - 1
Q. What is the determinant of G = [[1, 1, 1], [1, 2, 3], [1, 3, 6]]? (2023)
  • A. 0
  • B. 1
  • C. 2
  • D. 3
Q. What is the determinant of G = [[1, 2, 3], [4, 5, 6], [7, 8, 9]]? (2020)
  • A. 0
  • B. 1
  • C. 2
  • D. 3
Q. What is the determinant of G = [[1, 2], [2, 4]]? (2020)
  • A. 0
  • B. 1
  • C. 2
  • D. 4
Q. What is the determinant of G = [[2, 1], [1, 2]]? (2021)
  • A. 1
  • B. 2
  • C. 3
  • D. 4
Q. What is the determinant of G = [[2, 2], [2, 2]]? (2020)
  • A. 0
  • B. 4
  • C. 2
  • D. 1
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