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mathematics
may 2018
21

Mathematics Questions and Answers May 21, 2018

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Sketch the graph of a single function that has all of the properties listed. 5 . Continuous and differentiable for all real numbers a . f ' ( x ) > 0 on ( - , - 3 ) and ( 1 , 4 ) b . f ' ( x ) 0 on ( - 3 , 1 ) and ( 4 , ) c . f ' ' ( x ) 0 on ( - , - 1 ) and ( 2 , ) d . f ' ' ( x ) > 0 on ( - 1 , 2 ) e . f ' ( - 3 ) = f ' ( 4 ) = 0 f . f ' ' ( x )

The figure above shows a portion of the graph of the differentiable function g . The graph of g has horizontal tangents at x = 3 , x = 5 , and x = 8 . The areas of the regions bounded by the x - axis and the graph of g on the intervals 0 , 3 3 , 7 7 , 9 , and 9 , 1 0 are 1 8 , 1 9 , 4 , and 3 , respectively. Let h be the function defined by h ( x

What is the slope of the line tangent to the curve ( y 1 ) x 2 = y + 1 ( y 1 ) x 2 = y + 1 at the point ( 0 , 1 ) ( 0 , 1 ) ? Select one: a . 0 0 b . 1 1 c . The slope is undefined. d . none of the above

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