Question | Answer | Hint |

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A. What is the factorization of x^{2b} - y^{2b}, where b is a variable? | |

_{Place parentheses around each factor,and use the carot (^) for an exponent} | |

B. What is the range of principal values for y = cot^{-1} x? | |

_{Answer in the form of:a < y < b, inclusive or exclusive} | |

C. What are the roots of the equation x^{4} - 9x^{2} = 0 ? | |

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D. What is the degree measure of the minor arc intercepted by a chord, where the tangent to the circle & the chord from the point of tangency form an angle of 40^{o}? | |

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E. What is the value of the determinant of a 2 x 2 matrix, with top row 4, 3, and bottom row 2, 1? | |

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F. What is the unit vector in the direction of 7i - 24j ? | |

_{Answer in the form of:(fraction)i plus or minus (fraction)j} | |

G. For the parabola y = (x - 1)(x + 3), what value of c is guaranteed by Rolle's Theorem on the interval from -3 to 1? | |

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H. What is the a + bi form of 14 cis 45 degrees? | |

_{Answer in the form of a1sqrt(a2) + b1sqrt(b2) i } | |

I. In a + bi form, what is the third power of the complex number 2 cis 90 degrees? | |

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J. The equation of a parabola is 'ALWAYS' 'SOMETIMES' 'NEVER' a function. | |

_{Type the appropriate word.} | |

A. What is the factorization of x^{2b} - y^{2b}, where b is a variable? | |

B. What is the range of principal values for y = cot^{-1} x? | |

C. What are the roots of the equation x^{4} - 9x^{2} = 0 ? | |

D. What is the degree measure of the minor arc intercepted by a chord, where the tangent to the circle & the chord from the point of tangency form an angle of 40^{o}? | |

E. What is the value of the determinant of a 2 x 2 matrix, with top row 4, 3, and bottom row 2, 1? | |

F. What is the unit vector in the direction of 7i - 24j ? | |

G. For the parabola y = (x - 1)(x + 3), what value of c is guaranteed by Rolle's Theorem on the interval from -3 to 1? | |

H. What is the a + bi form of 14 cis 45 degrees? | |

I. In a + bi form, what is the third power of the complex number 2 cis 90 degrees? | |

J. The equation of a parabola is 'ALWAYS' 'SOMETIMES' 'NEVER' a function. | |