One number<span> is eight </span>less than<span> five </span>times<span> another. </span>If the sum<span> of the </span>two numbers<span> is 28, find the </span><span>numbers . Please levae this i need points i have 0000
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It’s 1/4 because the first one is 1/4 and the second one is 2/8 which can be reduced to 1/4
(x, y)
The domain are all the x-values, the range are all the y-values.
R={(19,96),(20,101),(21,106),(22,111)}
The domain is: 19, 20, 21, and 22
The range is: 96, 101, 106, and 111
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>