The Calculus with Analytic Geometry, Volume 1Harper & Row, 1981 - Calculus |
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Page 415
... PLANE SECTIONS 7.4.1 Definition Let S be a solid . By a plane section of S is meant a plane region formed by the intersection of a plane with S. In Sec . 7.2 we learned how to find the volume of a solid of revolution for which all plane ...
... PLANE SECTIONS 7.4.1 Definition Let S be a solid . By a plane section of S is meant a plane region formed by the intersection of a plane with S. In Sec . 7.2 we learned how to find the volume of a solid of revolution for which all plane ...
Page 417
... plane section at an angle of measurement 60 ° . Find the volume of the wedge . Solution The wedge is shown in Fig . 7.4.6 . The xy plane is taken as the plane perpendicular to the axis of the cylinder , and the origin is at the point of ...
... plane section at an angle of measurement 60 ° . Find the volume of the wedge . Solution The wedge is shown in Fig . 7.4.6 . The xy plane is taken as the plane perpendicular to the axis of the cylinder , and the origin is at the point of ...
Page 419
... plane sections perpendicular to a fixed diameter of the base are isosceles right triangles having the hypotenuse in the plane of the base . Find the volume of the solid . 7. Solve Exercise 6 if the isosceles right triangles have one leg ...
... plane sections perpendicular to a fixed diameter of the base are isosceles right triangles having the hypotenuse in the plane of the base . Find the volume of the solid . 7. Solve Exercise 6 if the isosceles right triangles have one leg ...
Common terms and phrases
absolute maximum value absolute minimum absolutely convergent antiderivative chain rule closed interval convergent coordinates cos² cosh cost function curve defined by f(x definite integral derivative differentiable directrix distance Draw a sketch elements of area ellipse evaluate Example exists f is continuous FIGURE Find an equation Find the area Find the volume focus following theorem formula function defined function f Given f(x graph of ƒ Hence hyperbola ILLUSTRATION intersection inverse L'Hôpital's rule lim f(x Limit Theorem measure natural logarithmic obtain open interval parabola particle perpendicular polar positive number power series Proof Prove radius real numbers rectangle rectangular elements region bounded relative maximum value revolving Riemann sum sec² sequence shown in Fig Simpson's rule sin² sinh slope solid of revolution Solution square units tangent line tank velocity vertex vertices x₁ y₁