## Differential and Integral Calculus: An Introductory Course for Colleges and Engineering Schools, Volume 25 |

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### Other editions - View all

Differential and Integral Calculus: An Introductory Course for Colleges and ... Lorrain Sherman Hulburt No preview available - 2013 |

### Common terms and phrases

abscissa acceleration algebraic angle argument astroid axis body center of mass change sign circle complete primitive convex coordinates cos2 cos3 curvature curve cycloid cylinder denoted differential equation distance double integral dx dx dx dy ellipse evolute example Exercises expressed feet per second figure Find the area Find the equations Find the volume flex formula fraction function geometrical graph Hence hyperbolic hyperbolic functions increment Indeterminate Form infinitesimal interval Let the student limit logarithms maximum method ordinate parabola parametric equations partial derivatives perpendicular polar coordinates polynomial positive problem projectile Proof proved radius rational Rolle's theorem root second member sin-i sin2 sin3 slope Solution solving substituting surface table of integrals Taylor's theorem termed tion V2gs variables velocity whence write x-axis zero

### Popular passages

Page 422 - The order of a differential equation is the order of the highest derivative which occurs in it.

Page 128 - This curve is generated by a point on the circumference of a circle, as the circle rolls along a straight line.

Page 86 - NOTK 1 — The room should be darkened, and light from all other sources, including other experiments, thoroughly cut off by screens. Discussion. — Since the intensity of illumination (Exp. 124) varies inversely as the square of the distance from the source of light, and directly as the intensity of the source, the amount of light that falls on each side of the oiled spot should be equal to the candle power of the source divided by the square of the distance of such source from the screen. Equating...

Page 255 - H', is the area of this surface. . 518. COR. 3.—The area of the convex surface of the frustum of a cone is equal to the product of its slant height into the circumference of the circle midway between the bases.

Page 422 - ... of the third order. The degree of a differential equation is the exponent of the highest...

Page 84 - Find the right circular cylinder of greatest volume that can be inscribed in a right circular cone of altitude h and base radius r.

Page 176 - The integral of the algebraic sum of a finite number of functions is equal to the algebraic sum of the integrals of these functions; that is, Fig. 28. 40. Integrals of x

Page 154 - If a=l, and the unit of curvature is the curvature of the circle whose radius is unity. (c) The curvature of a parabola, y 3 = 2mx.

Page 108 - Figure 3-7 represents the position of the ladder, with the distance from the base of the wall to the foot of the ladder labeled...

Page 112 - But, in any case, the equation which expresses the relation between the pressure and volume of a gas, at constant temperature, is its isothermal equation.