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MA 167 Group Assignment 2

# MA 167 Group Assignment 2 - Assume the ball travels 10...

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MA 167 – Group Work -2 Group Name _________________________ Members ________________________ ________________________ ________________________ ________________________ Assignment due Friday 9/11/09 1. Find equations for circles 1 C and 2 C . 2. Given any point Q on a circle, a tangent line to the circle through Q is perpendicular to a radial line connecting the circle center and the point Q. Use this information to find equations of tangent lines at P and Q.

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3. Draw the circle with equation 25 2 2 = + y x and the points P: (-3, -4) and Q: (-8, 0). Explain why P is on the circle. Is the line passing through P and Q tangent to the circle? Explain your answer. 4. The cup on the 9 th hole of a golf course is located dead center in the middle of a circular green which is 70 feet in diameter. Your ball is located as in the picture below: The ball follows a straight line path and exits the green at the right-most edge.
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Unformatted text preview: Assume the ball travels 10 ft/sec. a. Where does the ball enter the green? b. When does the ball enter the green? c. How long does the ball spend inside the green? d. Where is the ball located when it is closest to the cup and when does this occur? 5. The graph of a function ) ( x f y = is given below on the domain 3 ≤ ≤ x . Using the graph, sketch the graph of these NEW functions and specify the new domain and range: a. ) 1 (-= x f y b. ) 2 ( 1 + + = x f y c. ) ( 2 1 x f y + = d. ) 3 ( 2 x f y = e. 1 )) 2 ( 3 ( 2 +-= x f y f. ) 3 3 ( 2 1-= x f y g. ) 1 (--= x f y h. ) ( x f y--= Regression Analysis Textbook problems: Section 1.4 (pages 38 – 39) #42 – 44 1-1 Functions and Inverse Functions Textbook problems Section 1.6 (page 61) #63 - 68...
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