zuai-logo
zuai-logo
  1. AP Pre Calculus
FlashcardFlashcardStudy GuideStudy GuideQuestion BankQuestion Bank
GlossaryGlossary

Functions Involving Parameters, Vectors, and Matrices

Question 1
college-boardPre-CalculusAPExam Style
1 mark

If a circle has parametric equations x=5cos(theta)x = 5 \\cos(\\theta)x=5cos(theta) and y=5sin(theta)y = 5 \\sin(\\theta)y=5sin(theta), what is its radius?

Question 2
college-boardPre-CalculusAPExam Style
1 mark

If a particle moves along the path described by parametric equations x=(10−sint)x = (10 - \\sin t)x=(10−sint), y=(5cost)y = (5 \\cos t)y=(5cost), at what time(s) during 0leqt<6pi0 \\leq t < 6\\pi0leqt<6pi does its velocity have both positive components?

Question 3
college-boardPre-CalculusAPExam Style
1 mark

Which set of parametric equations represents a line passing through the origin with slope m?

Question 4
college-boardPre-CalculusAPExam Style
1 mark

Which of the following equations represents a line tangent to the circle defined by parametric equations x(t)=rcos(t)x(t) = r \\cos(t)x(t)=rcos(t), y(t)=rsin(t)y(t) = r \\sin(t)y(t)=rsin(t), where ttt is measured in radians?

Question 5
college-boardPre-CalculusAPExam Style
1 mark

What type of discontinuity is represented by a hole in a graph of a function?

Question 6
college-boardPre-CalculusAPExam Style
1 mark

What is the parametric equation for a circle with radius 5 centered at the origin?

Question 7
college-boardPre-CalculusAPExam Style
1 mark

If a line is defined parametrically by x=at+bx = at + bx=at+b and y=ct+dy = ct + dy=ct+d, what must be true for it to be horizontal?

Feedback stars icon

How are we doing?

Give us your feedback and let us know how we can improve

Question 8
college-boardPre-CalculusAPExam Style
1 mark

Which set of parametric equations represents a line passing through (0,0) and (1,1)?

Question 9
college-boardPre-CalculusAPExam Style
1 mark

If the line described by parametric equations x=1+2tx = 1 + 2tx=1+2t and y=−3ty = -3ty=−3t intersects a circle with center at (1,0)(1,0)(1,0), what is one possible radius of this circle?

Question 10
college-boardPre-CalculusAPExam Style
1 mark

Which set of parametric equations corresponds to a horizontal line at y = -3?