Determine the point on the given curve

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SUMMARY

The discussion centers on determining the correct representation of a point on a curve, specifically in the context of a mathematical problem involving coordinates. The correct format for a point is emphasized as (x, y), with an example given as (0.693, 2.772). Additionally, a common mistake in rewriting the equation 2x + y = 5 is highlighted, clarifying that it should be expressed as y = -2x + 5 to identify the slope correctly.

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Homework Statement
I have my answer in an equation, but since it asks for a point, should I simply leave it as b=1.386?
Relevant Equations
n/a
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ttpp1124 said:
Homework Statement:: I have my answer in an equation, but since it asks for a point, should I simply leave it as b=1.386?
Relevant Equations:: n/a

View attachment 262591View attachment 262592
A point (in the context of this problem) has two coordinates, so the answer should be in the form of (x, y).
 
Mark44 said:
A point (in the context of this problem) has two coordinates, so the answer should be in the form of (x, y).
So I'd leave my final answer as (0.693,2.772)?
 
ttpp1124 said:
Homework Statement:: I have my answer in an equation, but since it asks for a point, should I simply leave it as b=1.386?
Relevant Equations:: n/a

View attachment 262591View attachment 262592
You have a mistake right off the bat. 2x + y = 5 is not equivalent to y = 2x + 5.
 
Instead of solving for the intercepts of the line and doing the slope formula, just rewrite the equation of the line in the form ##y=mx+b## then the coefficient ##m## of ##x## is the slope.
 
Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

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