The Calculus, with Analytic Geometry: Functions of one variable, plane analytic geometry, and infinite seriesHarper & Row, 1972 - Calculus |
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Page 71
... Definition EXAMPLE 3 : Given that ƒ is the function defined by f ( x ) = √x + 1 and g is the function defined by g ( x ) = Vx - 4 , find : ( a ) ( f + g ) ( x ) ; ( b ) ( fg ) ( x ) ; ( c ) ( f · g ) ( x ) ; ( d ) ( f / g ) ( x ) . In ...
... Definition EXAMPLE 3 : Given that ƒ is the function defined by f ( x ) = √x + 1 and g is the function defined by g ( x ) = Vx - 4 , find : ( a ) ( f + g ) ( x ) ; ( b ) ( fg ) ( x ) ; ( c ) ( f · g ) ( x ) ; ( d ) ( f / g ) ( x ) . In ...
Page 75
Louis Leithold. If a function f is defined by f ( x ) = aox2 + a1x2 - 1 + A2x2 - 2 + ··· + an - 1x + an where n is a nonnegative integer , and ao , a1 , ... , an ... function defined by f 2.3 TYPES OF FUNCTIONS AND SOME SPECIAL FUNCTIONS 75.
Louis Leithold. If a function f is defined by f ( x ) = aox2 + a1x2 - 1 + A2x2 - 2 + ··· + an - 1x + an where n is a nonnegative integer , and ao , a1 , ... , an ... function defined by f 2.3 TYPES OF FUNCTIONS AND SOME SPECIAL FUNCTIONS 75.
Page 77
... function U is the unit step function defined in Exercise 1 and the function sgn is the signum func- tion defined in Exercise 2 . 1. U is the function defined by U ( t ) if t < 0 = 1 if t≥ 0 This function U is called the unit step function ...
... function U is the unit step function defined in Exercise 1 and the function sgn is the signum func- tion defined in Exercise 2 . 1. U is the function defined by U ( t ) if t < 0 = 1 if t≥ 0 This function U is called the unit step function ...
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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