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 - 2015 |
Differential and Integral Calculus: An Introductory Course for Colleges and ... Lorrain Sherman Hulburt No preview available - 2018 |
Differential and Integral Calculus: An Introductory Course for Colleges and ... Lorrain Sherman Hulburt No preview available - 2017 |
Common terms and phrases
abscissa angle argument astroid axis center of mass change sign circle constant convex cos² cos³ curvature curve cycloid cylinder denoted determine dy dx ellipse example Exercises feet per second figure Find the area Find the volume flex formula fraction function geometrical given graph Hence hypocycloid increment Indeterminate Form infinitesimal integral interval lim x=0 limit logarithms maximum motion parabola parametric equations partial derivatives perpendicular plane polynomial Problem Proof radius rational revolving Rolle's theorem sec² second member sin² sin³ Solution substituting surface table of integrals tangent Taylor's theorem termed theorem tion Va² values variables velocity vo² whence write x-axis x₁ x2 dx xy-plane y₁ yz-plane ди ди дх მყ
Popular passages
Page 424 - The order of a differential equation is the order of the highest derivative which occurs in it.
Page 130 - This curve is generated by a point on the circumference of a circle, as the circle rolls along a straight line.
Page 88 - 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 257 - 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 424 - ... of the third order. The degree of a differential equation is the exponent of the highest...
Page 86 - 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 178 - 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 156 - 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 110 - 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 114 - 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.