0234576 You just need to put the numbers in order form least to greatest and leave an even number at the end.
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>
Answer:
Step-by-step explanation:
Formula to determine the scale factor,
Scale factor = 
2 = 
2 = 
P'Q' = 4 cm
Similarly, for the length of A'B',
2 = 
2 = 
A'B' = 3 cm
For the length of M'N',
2 = 
2 = 
M'N' = 6 cm
Y = -10x + 1...slope here is -10. A perpendicular line will have a negative reciprocal slope. To find the negative reciprocal of a number, flip the number and change the sign. So our perpendicular line will need a slope of 1/10.
y = mx + b
slope(m) = 1/10
(5,7)....x = 5 and y = 7
now sub and find b, the y int
7 = 1/10(5) + b
7 = 1/2 + b
7 - 1/2 = b
14/2 - 1/2 = b
13/2 = b
so ur perpendicular line going thru (5,7) is y = 1/10x + 13/2
There are 30 students in the classroom; 40% are men and 60% are women. How many men and women are in the classroom?
40/100 = 2/5 60/100 = 3/5 30 ÷ 5 = 6 3 × 6 = 18 so 18 are women 2 × 6 = 12
so there are 12 men.