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1. ### Identify the conic section that the following polar equations represents: please see picture?

r = 3 / (3 + 3sin(t)) r = 1 / (1 + sin(t)) r * (1 + sin(t)) = 1 r + rsin(t) = 1 sqrt(x^2 + y^2) + y = 1 sqrt(x^2 + y^2) = 1 - y x^2 + y^2 = 1 - 2y + y^2 x^2 = 1 - 2y 2y = 1 - x^2 y = (-1/2) * x^2 + (1/2) It's a parabola

1 Answers · Science & Mathematics · 28/06/2019

2. ### Real Solutions of Given Equation?

let 1 + r = x π * x^2 = 2 + π * x πx^2 - πx - 2 = 0 x = (π ± √(π^2 - 4π(-2)))/(2 * π) x = (π ± √(π^2 + 8π))/(2π) Sub. back: 1 + r = (π ± √(π^2 + 8π))/(2π) r = (π ± √(π^2 + 8π))/(2π) - 1 r ≈ -0.44, 0.44

2 Answers · Science & Mathematics · 18/08/2019

3. ### Inverse Function Application?

d(r) = 6.97r - 90.39 d + 90.39 = 6.97r r = (d + 90.39)/6.97 r(d(r)) = (6.97r - 90.39 + 90.39)/6.97 r(d(r)) = r d(r(d)) = 6.97(d + 90.39)/6.97 - 90.39 d(r(d)) = d r = (300 +90.39)/6.97 r = 56 mph

1 Answers · Science & Mathematics · 05/07/2019

4. ### Find the rectangular coordinates of a point whose polar coordinates are (4, 180 degrees).?

(r, Θ) = (4, 180) (x, y) = (r cosΘ, r sinΘ) = (4 cos180°, 4 sin180°) = (-4, 0) ans: (-4, 0)

4 Answers · Science & Mathematics · 21/08/2019

5. ### In the geometric sequence, the common ratio is −2 and the 5th term is 72. What is the second term?

r = -2 t(5) = 72 t(n) = ar^(n - 1) t(5) = a(-2)^(5 - 1) = 72 a(-2)^4 = 72 16a = 72 a = 72/16 a = 4.5 t(n) = 4.5(-2)^(n - 1) t(2) = 4.5(-2)^(2 - 1) t(2) = 4.5(-2)^1 t(2) = 4.5(-2) t(2) = -9

1 Answers · Science & Mathematics · 02/06/2020

6. ### Find the equation of the circle that passes through the points A(6,5), B(-3,2) and C(-2,1)?

(x - h)^2 + (y - k)^2 = r^2 (6 - h)^2 + (5 - k)^2 = r^2 (-3 - h)^2 + (2 - k)^2 = r^2 (-2 - h)^2...18 - 6k = 0 30 - 6k = 0 6k = 30 k = 30/6 k = 5 (6 - 1)^2 + (5 - 5)^2 = r^2 5^2 + 0^2 = r^2 25 + 0 = r^2 r^2 = 25 r = sqrt(25), note that the...

2 Answers · Science & Mathematics · 09/09/2019

7. ### Factoring equations help?

For the second one, it would appear that small r is a different variable from capital R. First step is to factor...

3 Answers · Science & Mathematics · 12/04/2020

8. ### Use the Arc Length Formula for Polar Curves to calculate the arc length?

Hints: What is r(θ) ?  Then, what is r'(θ) ? Answer these, unanon yourself, and we will continue...

1 Answers · Science & Mathematics · 23/04/2020

9. ### Calc question?

Given r(t) = ⁵⁄₂ t²i - 3tj + ²⁄₃ t³k...t know what you are asking for in the next 2 questions (c) r '(t) • r "(t).......// Do you want multiplication or DOT product...

1 Answers · Science & Mathematics · 09/06/2019

10. ### What is (√2 + 1i)^5 using DeMoivres Theorem?

(a + bi)ᶜ = (r eⁱᶿ)ᶜ where r = √(a²+b²) and θ = atan2(b...

3 Answers · Science & Mathematics · 07/07/2019