Exam1Part1Problems

# Exam1Part1Problems - y = 3-2 x passing through(2 3 6...

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640:151 Calculus I, Fall 2011 Exam #1 Part I Questions A typical 80-minute midterm consists of 2 “Part I” questions and 4-7 “Part II” questions, 12-16 points each. Answers given without any explanation or justiﬁcation (words, phrases/sentences, and algebraic steps) may be given minimal credit. PART I - PRECALCULUS QUESTIONS - Two will be chosen 1. Write an equation for the line passing through ( - 1 , 4) and (2 , 6). 2. Sketch a graph of f ( x ) = x 3 for - 1 x 2. 3. Find the exact value of sin ( π 3 ) + 2 cos ( π 3 ) . 4. Find the domain and range of the function f ( x ) = x + 1. 5. Find an equation for the line parallel to
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Unformatted text preview: y = 3-2 x passing through (2 , 3). 6. Compute the exact value of 2 tan ( π 4 )-cos( π ). 7. Give an example of numbers x , y such that | x | + | y | = x-y . 8. If f ( x ) is the square of the distance from the point (2 , 1) to a point ( x, 3 x + 2) on the line y = 3 x + 2, then f ( x ) is a quadratic function, f ( x ) = Ax 2 + Bx + C . Find A , B , and C . 9. If ln( A ) = a and ln( B ) = b , write ln ± B √ A ² and ln( A ) ln( AB 3 ) in terms of a and b . 10. Sketch a graph of y = 2-x 2 for-2 ≤ x ≤ 1. 1...
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