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Example Questions
Example Question #71 :Parametric Form
Givenand, what isin terms of(rectangular form)?
None of the above
Givenand, let's solve both equations for:
Since both equations equal, let's set them equal to each other and solve for:
Example Question #72 :Parametric Form
Givenand, what isin terms of(rectangular form)?
None of the above
Givenand, let's solve both equations for:
Since both equations equal, let's set them equal to each other and solve for:
Example Question #73 :Parametric Form
Givenand, what isin terms of(rectangular form)?
None of the above
Givenand, let's solve both equations for:
Since both equations equal, let's set them equal to each other and solve for:
Example Question #74 :Parametric Form
Finddy/dxat the point corresponding to the given value of the parameter without eliminating the parameter:
The formula fordy/dxfor parametric equations is given as:
From the problem statement:
If we plug int=3, into the above equations:
This is one of the answer choices.
Example Question #81 :Parametric, Polar, And Vector
Finddy/dxat the point corresponding to the given value of the parameter without eliminating the parameter:
The formula fordy/dxfor parametric equations is given as:
From the problem statement:
If we plug int=4, into the above equations:
This is one of the answer choices.
Example Question #71 :Parametric Form
Finddy/dxat the point corresponding to the given value of the parameter without eliminating the parameter:
The formula fordy/dxfor parametric equations is given as:
From the problem statement:
If we plug these into the above equation we end up with:
If we plug in our given value for t, we end up with:
This is one of the answer choices.
Example Question #71 :Parametric Form
Convert the following parametric equation into rectangular form:
To convert from parametric to rectangular form, we must eliminate the parameter by finding t in terms of x or y:
Now, plug t into the equation for y:
例子问题# 78:Parametric Form
Givenand, what isin terms of?
None of the above
Givenand, let's solve both equations for:
Since both equations equal, let's set them equal to each other and solve for:
Example Question #79 :Parametric Form
What is a way of parameterizing the circle? (Assume) There are many ways of doing this.
,
,
,
,
,
To see why the parametric equations
,
describe the circle
we do the following manipulation:
which means
or
which describes the circle of radius.
Example Question #80 :Parametric Form
What is not a way of parameterizing the ellipse
(Assume)
The reason that the parametric equations
don't describe the ellipse
is because if do some algebraic manipulation, we get
which describes a different ellipse than
.
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