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Solution. This time we revolve the cross-section and obtain a disk. The radius of the disk is 2 plus the y-coordinate of the curve. Hence. A = π(2 + x3)2. so that. Volume = ∫2 0π(2 + x3)2dx. This integral can be evaluated by FOIL-ing out the binomial and then integrating each monomial.

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Mathematics that Works, volume 2 : Chapter 1. Know the standard functions and the transcendental functions, in particular the exponential, logarithmic, and trigonometric functions. Know and be able to work with their properties and rules, be able to use them to solve equations. Know the logarithmic scale and its properties; be able to determine.

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TY - BOOK. T1 - Analysis apllied. AU - de Gee, M. PY - 2018. Y1 - 2018. M3 - Book. SN - 9789050411684. VL - 2. T3 - Mathematics that Works. BT - Analysis apllied

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So Volume = length x width x height or l x w x h. We could also multiply the area of the base (which is the length x width) by the height. So Volume = l x w x h or b x h (where b is the area of the base) Example. In the example above, the length is 3, the width is 6 and the height is 2. So the volume is 3 x 6 x 2 = 36cm 3 or 36 cubic cm.

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Section and page numbers refer to Mathematics that Works volume 2. Worked solutions of the underlined exercises (e. 1) and hints for the exercises; in bold (e. 1) are available on the content page of this tutorial. Please try to do these exercises as well as you can before checking the hints or the; worked solutions. Before the tutorial: Read §1.

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