All Calculus 2 Resources
Example Questions
Example Question #61 : Parametric Form
Convert the following parametric equation to rectangular form:
To convert from parametric to rectangular coordinates, we must eliminate the parameter by finding t in terms of x or y:
We will start by taking the exponential of both sides of the equation . Recall that .
Therefore we get,
.
Now, replace t with the above term in the equation for x:
Example Question #66 : Parametric Form
When and , what is in terms of (rectangular form)?
Given and , wet's solve both equations for :
Since both equations equal , let's set them equal to each other and solve for :
Example Question #72 : Parametric
Given and , what is in terms of ?
None of the above
Given and , let's solve both equations for :
Since both equations equal , let's set them equal to each other and solve for :
Example Question #62 : Parametric Form
Given and , what is in terms of ?
None of the above
Given and , let's solve both equations for :
Since both equations equal , let's set them equal to each other and solve for :
Example Question #63 : Parametric Form
Given and , what is in terms of ?
None of the above
Given and , wlet's solve both equations for :
Since both equations equal , let's set them equal to each other and solve for :
Example Question #64 : Parametric Form
Given and , what is in terms of (rectangular form)?
Given and , let's solve both equations for :
Since both equations equal , let's set them equal to each other and solve for :
Example Question #71 : Parametric, Polar, And Vector
Given and , what is in terms of (rectangular form)?
None of the above
Given and , 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, Polar, And Vector
Given and , what is in terms of (rectangular form)?
None of the above
Given and , 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, Polar, And Vector
Given and , what is in terms of (rectangular form)?
None of the above
Given and , 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, Polar, And Vector
Find dy/dx at the point corresponding to the given value of the parameter without eliminating the parameter:
The formula for dy/dx for parametric equations is given as:
From the problem statement:
If we plug in t=3, into the above equations:
This is one of the answer choices.