AP Calculus BC Unit 9 – Parametric Equations, Polar Coordinates, and Vector-Valued Functions
AP Calculus BC Unit 9 – Parametric Equations, Polar Coordinates, and Vector-Valued Functions
Quiz Summary
0 of 19 questions completed
Questions:
- 1
- 2
- 3
- 4
- 5
- 6
- 7
- 8
- 9
- 10
- 11
- 12
- 13
- 14
- 15
- 16
- 17
- 18
- 19
Information
You have already completed the quiz before. Hence you can not start it again.
Quiz is loading…
You must sign in or sign up to start the quiz.
You must first complete the following:
Results
Results
0 of 19 questions answered correctly
Your time:
Time has elapsed
You have reached 0 of 0 point(s), (0)
Earned Point(s): 0 of 0, (0)
0 Essay(s) Pending (Possible Point(s): 0)
Average score |
|
Your score |
|
Categories
- Not categorized 0%
- 1
- 2
- 3
- 4
- 5
- 6
- 7
- 8
- 9
- 10
- 11
- 12
- 13
- 14
- 15
- 16
- 17
- 18
- 19
- Answered
- Review
-
Question 1 of 19
1. Question
A curve in the plane is defined parametrically by the equations x = 2sin(1+3t) and y= 2t3 . Find dy/dx
CorrectIncorrect -
Question 2 of 19
2. Question
A curve in the plane is defined parametrically by the equations
and
. Find the value of
at
.
CorrectIncorrect -
Question 3 of 19
3. Question
A curve is defined by the parametric equations x=3 e2t and y=e 3t −1 . What is
in terms of t ?
CorrectIncorrect -
Question 4 of 19
4. Question
A curve is defined by the parametric equations x=8 √ t+1 and y=−6 √ t+t . What is
in terms of t ?
CorrectIncorrect -
Question 5 of 19
5. Question
Consider the parametric curve:
,
Which integral gives the arc length of the curve over the interval from
to
?
CorrectIncorrect -
Question 6 of 19
6. Question
Consider the parametric curve: x= 5 t 2 , y=2 e t Which integral gives the arc length of the curve over the interval from t =−1 to t =3 ?
CorrectIncorrect -
Question 7 of 19
7. Question
Let f be a vectorvalued function defined by
Find f'(t) ;
CorrectIncorrect -
Question 8 of 19
8. Question
Let g be a vectorvalued function defined by
Find g'(t)….
CorrectIncorrect -
Question 9 of 19
9. Question
Let h be a vectorvalued function defined by
Find h’s second derivative h′′(t).
CorrectIncorrect -
Question 10 of 19
10. Question
A particle moves in the xyplane so that at any time t ≥ 0 its coordinates are x= t3 – 2t and y= 3t+1 What is the particle’s velocity vector at t=3 ?
CorrectIncorrect -
Question 11 of 19
11. Question
Let r be the polar function r ( θ )=5 θ−1. What is the rate of change of the ycoordinate with respect to θ at the point where θ=π ?
CorrectIncorrect -
Question 12 of 19
12. Question
Let r be the polar function
Here is its graph for 0 ≤θ ≤ 2 π : What is the rate of change of the x-coordinate with respect to θ at the point P?
CorrectIncorrect -
Question 13 of 19
13. Question
Consider the polar curve r=4 sin ( 5 θ) . What is the equation of the tangent line to the curve r at
CorrectIncorrect -
Question 14 of 19
14. Question
Let R be the region enclosed by the polar curve
Which integral represents the area of R?
CorrectIncorrect -
Question 15 of 19
15. Question
Let R be the region enclosed by the polar curve
Which integral represents the area of R?
CorrectIncorrect -
Question 16 of 19
16. Question
Let R be the region in the second quadrant enclosed by the polar curve r ( θ )=θ+ sin ( θ) and the coordinate axes, as shown in the graph. Which integral represents the area of R?
CorrectIncorrect -
Question 17 of 19
17. Question
Let R be the region that is inside the polar curve r = 3 and outside the polar curve r=2+ sin ( θ ) , as shown in the graph. Which integral represents the area of R?
CorrectIncorrect -
Question 18 of 19
18. Question
Let R be the region in the second quadrant that is inside the polar curve r= 2 and outside the polar curve r=2+ sin ( 2 θ) , as shown in the graph. Which integral represents the area of R?
CorrectIncorrect -
Question 19 of 19
19. Question
Let R be the region inside the polar curve r=cos (θ) and inside the polar curve r=1+ sin ( θ) , as shown in the graph. Which integral represents the area of R?
CorrectIncorrect