Which of the following integral expressions represents the area of the region bounded by the graphs of and the -axis? A) B) C) D)
Let ,where and is some finite positive constant,as pictured below. Let and .Which one of the following statements is true? A) B) C) D)No conclusion can be made about the relative values of and .
What is the area of the region in the first quadrant between the -axis, -axis, ,and ? A)2 B)3 C)1 D)∞
What is the area of the region in the first quadrant between the -axis,the graph ,and ? A)1 B)2 C)0 D)∞
Let be a differentiable function with the properties that and . A)-3 B)5 C)8 D)∞
The area of the region bounded by the graphs of , , ,and the -axis is A) B) C) D)
The area of the Quadrant I region under the function is A) B)1 C) D)divergent
Let be the region bounded by the graphs of the function ,the -axis,and the lines and ,where .An expression for the volume of the solid generated by revolving about the -axis is A) B) C) D)
The base of a certain solid is the region bounded by the coordinate axes,the line ,and the graph of .For this solid,each cross section perpendicular to the -axis is a square whose side is across the base.The volume of this solid is A)10 B) C) D)divergent
Is the graph of concave up or concave down at ? Explain your answer. A)The graph of is concave up at . B)The graph of is concave down at .