Respuesta :
Answer:
vertical intercepts: (7, pi/2) and (-7, pi/2)
horizontal intercepts: (10,0) and (-4,0)
Step-by-step explanation:
The horizontal and vertical intercepts are respectively; [(10,0) and (-4,0)] and [(7, π/2) and (-7, π/2)]
What are the horizontal and vertical intercepts?
We are given the parametric equation;
r = 7 + 3 cos θ
Now, the vertical intercept will be when cos θ = 0 and that is at θ = π/2
Thus;
At θ = π/2, we have;
r = 7 + (3 * 0)
r = 7
But this will also give the same value of θ when r = -7
Thus; vertical intercepts are; (7, π/2) and (-7, π/2)
Horizontal intercept will occur when cos θ = 1. Thus;
At θ = 0, we have;
r = 7 + (3 * 1)
r = 10
Also, the lower interval will be when cos θ = -1. Which is 0 on the negative side. Thus
r = 7 + (3 * -1)
r = 4
Thus; horizontal intercepts are; (10,0) and (-4,0)
Read more about intercepts at; https://brainly.com/question/1884491
