Answer:
<h3>The slope is -1.</h3>
Step-by-step explanation:
To find an equation of the line that passes through the points, you have to use the slope formula.
Slope:
y2=3
y1=(-2)
x2=(-1)
x1=4
Solve.
3--2/-1-4=5/-5=-1
The slope is -1.
Carlos will use 8 shelves with 3 novels and 2 autobiographies on each.
THE ANSWER IS THE SECOND AND THIRD CHOICE.
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>