All Calculus 2 Resources
Example Questions
Example Question #1 : Parametric, Polar, And Vector
Rewrite as a Cartesian equation:
Possible Answers:
Correct answer:
Explanation:
So
or
We are restricting
to values on , so is nonnegative; we choose.
Also,
So
or
We are restricting
to values on , so is nonpositive; we choose
or equivalently,
to make
nonpositive.
Then,
and
Example Question #1 : Parametric, Polar, And Vector
Write in Cartesian form:
Possible Answers:
Correct answer:
Explanation:
Rewrite
using the double-angle formula:
Then
which is the correct choice.
Example Question #1 : Parametric, Polar, And Vector
Write in Cartesian form:
Possible Answers:
Correct answer:
Explanation:
, so
.
, so
Example Question #1 : Parametric
Write in Cartesian form:
Possible Answers:
Correct answer:
Explanation:
,
so the Cartesian equation is
.
Example Question #1 : Parametric
Write in Cartesian form:
Possible Answers:
Correct answer:
Explanation:
so
Therefore the Cartesian equation is
.Example Question #6 : Parametric, Polar, And Vector
Rewrite as a Cartesian equation:
Possible Answers:
Correct answer:
Explanation:
, so
This makes the Cartesian equation
.
Example Question #1 : Parametric Form
and . What is in terms of (rectangular form)?
Possible Answers:
Correct answer:
Explanation:
In order to solve this, we must isolate
in both equations.and
.
Now we can set the right side of those two equations equal to each other since they both equal
..
By multiplying both sides by
, we get , which is our equation in rectangular form.Example Question #2 : Parametric, Polar, And Vector Functions
If
and , what is in terms of (rectangular form)?
Possible Answers:
Correct answer:
Explanation:
Given
and , we can find in terms of by isolating in both equations:
Since both of these transformations equal
, we can set them equal to each other:
Example Question #3 : Parametric Form
Given
and , what is in terms of (rectangular form)?
Possible Answers:
None of the above
Correct answer:
Explanation:
In order to find
with respect to , we first isolate in both equations:
Since both equations equal
, we can then set them equal to each other and solve for :
Example Question #7 : Parametric, Polar, And Vector
Given
and , what is in terms of (rectangular form)?
Possible Answers:
None of the above
Correct answer:
Explanation:
In order to find
with respect to , we first isolate in both equations:
Since both equations equal
, we can then set them equal to each other and solve for :
Peter
Certified Tutor
Certified Tutor
Kansas State University, Bachelors, Mathematics. Bowling Green State University-Main Campus, Master of Science, Management In...
All Calculus 2 Resources
Popular Subjects
English Tutors in Denver, Statistics Tutors in New York City, Math Tutors in New York City, ISEE Tutors in Atlanta, LSAT Tutors in Atlanta, ACT Tutors in Houston, Statistics Tutors in Dallas Fort Worth, English Tutors in Atlanta, ACT Tutors in Miami, ISEE Tutors in Chicago
Popular Courses & Classes
MCAT Courses & Classes in Phoenix, GMAT Courses & Classes in Atlanta, SSAT Courses & Classes in San Francisco-Bay Area, GMAT Courses & Classes in San Diego, Spanish Courses & Classes in Dallas Fort Worth, LSAT Courses & Classes in Houston, SAT Courses & Classes in Philadelphia, SSAT Courses & Classes in Seattle, GRE Courses & Classes in Los Angeles, ACT Courses & Classes in Boston
Popular Test Prep
GMAT Test Prep in Dallas Fort Worth, ACT Test Prep in San Francisco-Bay Area, ISEE Test Prep in Boston, LSAT Test Prep in Chicago, GMAT Test Prep in Atlanta, SSAT Test Prep in Los Angeles, LSAT Test Prep in Atlanta, MCAT Test Prep in Atlanta, ACT Test Prep in Houston, SAT Test Prep in Boston
