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15 terms

AP CALCULUS VOCABULARY

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zero of a function
a solution of the equation f(x)=0 is a zero of the funtion of a root of the equation.
y-intercept
the y-coordinate of the point where a curve intersects the y-axis
y-intercept
the vertical axis of the cartesian coordinate system
x-intercept
the x-coordinate of the point where a curve intersects the x-axis
x-axis
the horizontal azis of the cartesian coordinate system
volume by slicing
a method for finding the volume of a solid by evaluating A(x)dx where A(x) (assumed intergrable) is the solid cross section at area x
viewing window
on a graphing calculator, the portion of the coordinate plane displayed on the screen
vertex
any point of intersection of two sides of a polygon or plane surfaces of a solid
velocity
the rate of change of position with respect to time
upper bound
a function is bounded above on a given domain if there is a number M such that f(x)≤M for all x in the domain
unit circle
a circle of radius 1 whose center is at the origin
U-substitution
a method of intergration in which f(g(x))*g'(x)dx is rewritten as f(u)du by substituting u=g(x) and du=g'(x)dx
trigonimetric funtion
any of a group of functions expressed in terms of the ratios of the coordinates of the points on the circumference of a circle centered on the origin and the radius as the latter sweeps out that angle
trapexoidal rule
a method of approximating to an intergral as the limit of a sum of areas of trapezoids
transcendental function
a function that is not algebraic; examples are: trigonometric, inverse trigonometric, exponential and logarithmic funtctions