W13 - Homework

Stepwise problems - Mon. Nov 17, 11:59pm

Parametric curves

01

01

Convert parametric curve to function graph

Write the following curves as the graphs of a function . (Find for each case.)

(a) , and

(b) , and

Sketch each curve.

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Solution

Solutions---0265-01

Calculus with parametric curves

02

01

Parametric curves: Points with given slope

Where on the image of does the tangent line have slope ?

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Solution

Solutions---0260-01

03

02

Parametric concavity

Find at for the curve given parametrically by , .

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Solution

Solutions---0260-02

Regular problems - Thu. Nov 20, 11:59pm

Parametric curves

04

02

Convert parametric curve to function graph

Write the following curves as the graphs of a function . (Find for each case.)

(a) , and

(b) , and

Sketch each curve.

Link to original

Solution

Solutions---0265-02

05

03

Convert function graph to parametric curve

Find parametric curves whose images are the following graphs:

(a) and

(b) and

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Solution

Solutions---0265-03

Calculus with parametric curves

06

03

Parametric concavity

Find the interval(s) of on which the parametric curve is concave up.

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Solution

Solutions---0260-03

07

04

Parametric arclength

Find the arclength of the curve given parametrically by , over the time interval .

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Solution

Solutions---0260-04