Functions Involving Parameters, Vectors, and Matrices
If a circle has parametric equations and , what is its radius?
Radius is equal to ten.
Radius is equal to zero.
Radius is equal to five.
Radius cannot be determined from these equations.
When evaluating functions for continuity at a point c, which condition must NOT be met to conclude that there's a discontinuity at c?
The limit as x approaches c equals f(c)
The limits from left and right approach the same value as x approaches c
The limit as x approaches c exists but is not equal to f(c)
The function f(x) is defined at x = c
If the parametric equations and define a circle, for what value of will the point on the circle be at its farthest from the line ?
t = \frac{5\pi}{4}
t = \frac{\pi}{4}
t = \frac{\pi}{2}
t = \frac{3\pi}{4}
If a particle moves along the path described by parametric equations , , at what time(s) during does its velocity have both positive components?
11\pi/6 < t < 13\pi/6
7\pi/6 < t < 11\pi/6
\pi < t < 5\pi/2
\pi/2 < t < \pi
Which of the following equations represents a line tangent to the circle defined by parametric equations , , where is measured in radians?
y=x if
y=r-tan(t)x if
y = r/x if exists and for any integer .
y=-rx if
What is the parametric equation for a circle with radius 5 centered at the origin?
Which set of parametric equations represents a line passing through (0,0) and (1,1)?

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How do you find the equation of the tangent line to a parameterized curve given by and at a specific point?
Subtract and use the point-slope formula.
Multiply and use the point-slope formula.
Find slopes and use the point-slope formula.
Find slopes and use the point-slope formula.
If the parametric equations and describe a circle, what does represent?
The circumference of the circle
The radius of the circle
The angle in radians from the positive x-axis to the point (x,y)
The area of the circle
Which set of parametric equations represents a line passing through the origin with slope m?
x=mt, y=t^2
x=t, y=mt
x=t^m, y=m^t
x=m/t, y=t/m