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# Exam1 - Note Problems 18 are worth four points each 1 Find...

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Note: Problems 1–8 are worth four points each. 1. Find all values of y so that the distance between (1 , - 2) and (1 , y ) is 3 . A. y = 1 and y = - 5 B. y = 5 C. y = 1 D. y = 5 and y = - 5 E. no such y -values exist 2. After t hours of operation, an assembly line can produce x ( t ) = 30 t - t 2 4 units of a product, 0 t 120 . The cost of manufacturing x units of the product is C ( x ) = 100 + 40 x. Find an expression that represents the cost as a function of the number of hours of operation of the assembly line. A. 100 + 1200 t - 10 t 2 B. 22000 - 800 t - 400 t 2 C. 100 + 40 x - 30 t 2 + t 2 4 D. 100 + 40 t E. none of these 3. Find the value of k that will make the function f ( x ) = 2 x - 1 if x 1 4 k - x 2 if x > 1 continuous at x = 1 . A. k = - 1 4 B. k = 1 2 C. k = 2 D. k = - 1 E. none of these 4. Let g ( x ) = 1 x - 3 . Find and simplify g ( a + h ) - g ( a ) h , h 6 = 0 . A. 1 B. 1 h 2 C. - 1 ( a + h - 3)( a - 3) D. h - 6 h ( a + h - 3)( a - 3) E. none of these

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5. Write the equation of the circle that has center (2 , - 3) and contains the point (5 , 2) .
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