Polar curves/Area of rectangle

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Homework Help Overview

The discussion revolves around a problem related to polar curves and the area of a rectangle, specifically focusing on determining the dimensions of a rectangle based on given parameters. The original poster expresses confusion regarding the calculation of the length SP after determining the height PQ.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to calculate the height and length of a rectangle but struggles with the relationship between the dimensions. Some participants suggest evaluating the problem at a specific angle, while others note the need for calculus in the context of the problem.

Discussion Status

The discussion is ongoing, with participants exploring different angles and interpretations of the problem. There is acknowledgment of the complexity involved, particularly regarding the calculus requirement for part (c), and the original poster is seeking further clarification.

Contextual Notes

There is a mention that part (c) requires calculus, which raises questions about the appropriateness of the problem's placement in a pre-calculus forum. This suggests a potential misalignment with the expected knowledge level for participants.

trew
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Homework Statement


w4peKxQ.png


Homework Equations

The Attempt at a Solution



Part C is confusing me.

I got the height PQ to be 16/3root6

But I'm lost as to how to find the length SP. The mark scheme has the answer as 8, or (SP/2 = 4 therefore SP = 8) but I still can't figure it out, maybe it's 'cause I've been doing questions all day.

Can someone shed some light on this for me please.
 

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Try ##\theta=0## :rolleyes:
 
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BvU said:
Try ##\theta=0## :rolleyes:
<Content edited by mentor>
Thank you
 
Last edited by a moderator:
trew said:

Homework Statement


View attachment 225862

Homework Equations

The Attempt at a Solution



Part C is confusing me.

I got the height PQ to be 16/3root6

But I'm lost as to how to find the length SP. The mark scheme has the answer as 8, or (SP/2 = 4 therefore SP = 8) but I still can't figure it out, maybe it's 'cause I've been doing questions all day.

Can someone shed some light on this for me please.

Part (c) needs calculus, so should certainly not appear in a "pre-calculus" forum.
 
Ray Vickson said:
Part (c) needs calculus, so should certainly not appear in a "pre-calculus" forum.
Thread moved for this reason.
 

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