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Chapter 14 Solutions
EBK CALCULUS EARLY TRANSCENDENTALS
Additional Math Textbook Solutions
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Precalculus
- A pontoon is to be made in the shape shown. The pontoon is designed by rotating the graph of y = 1 − (x2/16), −4 ≤ x ≤ 4 about the x-axis, where x and y are measured in feet. Find the volume of the pontoon.arrow_forwardCan u help me find the volume of both partsarrow_forwardWrite and evaluate the definite integral that represents the volume of the solid formed by revolving the region about the x-axis. y = -x + 8 8 6- 2- 2arrow_forward
- The area bounded by the curve y2=12x and the line x=3 is revolved about the line x=3. What is the volume generated? 179 cu. units 186 cu. units 181 cu. units 184 cu. unitsarrow_forwardFind the area of the largest rectangle with sides parallel to the coordinate axis which can be inscribed in the area bounded by two parabolas y%3D26-x^2 and y=x^2 + 2 * 81 sq.u 144 sq. u 48 sq. u 64 sq. uarrow_forwardFind the volume V of the solid obtained by rotating the region enclosed by the graphs of y = 18 – 2x, y = -6 +4x, and x = 0 about the y-axis. (Express numbers in exact form. Use symbolic notation and fractions where needed.) V =arrow_forward
- Qund to four decimal places. An oil storage tank can be described as the volume generated by revolving the area bounded by ,2= 0, y = 0, z = 4 about the x-axis. Find the volume of the tank (in cubic meters). (4 + 2?)arrow_forwardShow the area, graph the curves and lines, show the representative element. y = 4/x and y² – 4y + 2x = 5.arrow_forwardFull solution, please. For each of the items below, describe a solid revolution whose volume is equal to the given definite integral. You can do so by sketching a region R and an axis of revolution that will generate such a solid. Label the graphs and the points of intersection, if any.arrow_forward
- Find the area bounded by the given curves. y = x² - 13 and y = 2 - 14x² square units Find the area bounded by the given curves. y = 3x² and y = 48 square unitsarrow_forwardIn the following diagram, the points A and B lie on a circle centred at the origin, and are connected by a line segment. B = (0,5) The shaded region, between the line A = (-4,3) 3 segment and the quarter-circle, rotates about the x-axis. Find the volume of the 2 resulting solid. Show your work. -6 -5 -4 -3 -2 -1arrow_forwardFind the area of the region enclosed by the curves between their intersections. y=x and y = 2x The area of the region is square unit(s). (Simplify your answer. Type an integer or a fraction.)arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageAlgebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell
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