The Calculus, with Analytic Geometry: Functions of one variable, plane analytic geometry, and infinite seriesHarper & Row, 1972 - Calculus |
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Page 344
... Find the volume of the sphere generated by revolving the circle whose equation is x2 + y2 = r2 about a diameter . 10. Find by integration the volume of a right - circular cone of altitude h units and base radius a units . 11. Find the ...
... Find the volume of the sphere generated by revolving the circle whose equation is x2 + y2 = r2 about a diameter . 10. Find by integration the volume of a right - circular cone of altitude h units and base radius a units . 11. Find the ...
Page 349
... Find the volume of the solid generated if the region bounded by the parabola y2 = 4ax ( a > 0 ) and the line x = a is revolved about x = a . C ( 1 , 1 ) 1 18. Find the volume of the solid generated by revolving the region bounded by the ...
... Find the volume of the solid generated if the region bounded by the parabola y2 = 4ax ( a > 0 ) and the line x = a is revolved about x = a . C ( 1 , 1 ) 1 18. Find the volume of the solid generated by revolving the region bounded by the ...
Page 352
... Find the volume of the solid . 3. Solve Exercise 2 if the isosceles right triangles have one leg in the plane of the base . 4. Find the volume of a right pyramid having a height of h units and a square base of side a units . 5. Find the ...
... Find the volume of the solid . 3. Solve Exercise 2 if the isosceles right triangles have one leg in the plane of the base . 4. Find the volume of a right pyramid having a height of h units and a square base of side a units . 5. Find the ...
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The Calculus, with Analytic Geometry: Functions of one variable, plane ... Louis Leithold No preview available - 1972 |
Common terms and phrases
absolute maximum value absolute minimum absolutely convergent angle antiderivative axis closed interval coordinates cos² cosh cost function critical numbers curve defined by f(x definite integral denoted derivative differentiable directrix divergent domain Draw a sketch ellipse equivalently evaluate EXAMPLE exists f is continuous f(x₁ Figure Find an equation Find the area focus formula ft/sec function defined function f ƒ and g graph is concave graph of ƒ Hence hyperbola improper integral inequality inverse L'Hôpital's rule lim f(x Limit theorem measure natural logarithmic obtain open interval parabola particle plane polar positive integer positive number power series PROOF Prove radius real numbers rectangle region bounded relative minimum value sec² sequence shown in Fig sin² sinh slope solid of revolution SOLUTION subinterval tangent line velocity vertex vertices Vx² x₁ y₁ zero