Find the volume of the solid generated when the region bounded by y equals 8 x and y equals 32 startroot x endroot is revolved about the x-axis. a coordinate system has an unlabeled horizontal x-axis and an unlabeled vertical y-axis. from left to right, a curve labeled y equals 32 startroot x endroot starts on the origin and rises at a decreasing rate in quadrant 1. a line labeled y equals 8 x starts at the origin and rises from left to right, intersecting the curve at the origin and in quadrant 1. the region above the line and below the curve is shaded and labeled r. a curved arrow is rotated about the x-axis. x y y equals 32 startroot x endroot y equals 8 x upper r

The clouds are grey and ground is wet. a quantitative b qualitative

The scheme below is from a series of reactions that are part of a synthesis of vitamin a. answer the following questions with reference to this scheme. (i) what is "reagent a"? (ii) draw a step-by-step mechanism which explains the formation of compound c from compound b (iii) which reagents would you use to form compound e from compounds c and d (reagents b and c)? for each reagent suggested above in (ii) explain the role of the reagent in the reaction to (iv) form compound e. you may wish to do this by drawing a mechanism. 1. addition of reagent a но reagent a 2. н,о" thо oh нон-с compound a. compound b. compound c .ch-оh 1. reagent b "сно 2. reagent c сh oh compound e. compound d.

Analyze how limestone is weathered and identify the features that are formed as a result of this dissolution