Hmmm so, parallel lines have the same slope, so a line that's parallel to <span>y=1/3x-5, will also have the same slope as that one, what would that be anyway? </span>
, well, low and behold, since that equation is in slope-intercept form already, we can see is just 1/3.
<span>
so, what is the equation of a line whose slope is 1/3 and runs through 3, -7?
</span>
<span>
</span>
Answer:8
Step-by-step explanation;Since you want to find the density but you already have the mass you do the inverse operation and divdie 56 by 7 and get 8.
Given that
, then
The slope of a tangent line in the polar coordinate is given by:
Thus, we have:
Part A:
For horizontal tangent lines, m = 0.
Thus, we have:
Therefore, the <span>values of θ on the polar curve r = θ, with 0 ≤ θ ≤ 2π, such that the tangent lines are horizontal are:
</span><span>θ = 0
</span>θ = <span>2.02875783811043
</span>
θ = <span>4.91318043943488
Part B:
For vertical tangent lines,
Thus, we have:
</span>Therefore, the <span>values of θ on the polar curve r = θ, with 0 ≤ θ ≤ 2π, such that the tangent lines are vertical are:
</span>θ = <span>4.91718592528713</span>
(4/5)*what = (2/3)
Multiply by 5/4
.. what = (2/3)*(5/4)
.. what = 5/6
