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1. ### Evaluate the double integral?

. ➤ what is needed: dA = r dr dθ y = r sinθ x = r cosθ x² + y² = r² cos²...i.e [ 0, 2π ] 25 ≤ x² + y² ≤ 49 25 ≤ r² ≤ 49 5 ≤ r ≤ 7 ∫∫ y²/( x² + y² ) dA = ∫∫ [ r² ...

3 Answers · Science & Mathematics · 14/05/2019

If the radius is "r", then its diameter would be "2r". Since the cube is...so we can substitute 2r in for d: 3l² = (2r)² Now solve for r/l: Start with getting the square root of both sides: √(3)l...

2 Answers · Science & Mathematics · 05/05/2019

3. ### Probabilty?

a) P(r=0) = 9C0*(0.15)^0*0.85^9 = 0.2316 = 0.232 (rounded to 3 dp) b) P(≥1) = 1-0.232 = 0.768

2 Answers · Science & Mathematics · 06/06/2019

4. ### 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

5. ### 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

6. ### URGENT! Geometry (frustrum of a cone) Question?

...: arc length AB = 2πt arc length XY = 2πr Using the opened curved side: arc length...ii. x/t = ( x + s ) / r xr = xt + st xr - xt = st x ( r - t ) = st x = st / ( r - t ) ━━━━━━━ ( c ) Area...

1 Answers · Science & Mathematics · 06/05/2019

7. ### Calculus help?

f(x)=x²e^(-ax) 1. Domain= The function f(x) is continuous and ...as x → ∞ Apply limit definition. ∀ε>0 ∃c∈ |∀x>c we have |f(x)-0| < ε ...

2 Answers · Science & Mathematics · 16/05/2019

8. ### 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

9. ### Calc question?

Arc length vector r(t) = <f, g, h> is given by L = {t; from 0...

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

10. ### Help with a surface area math problem?

If y = sqrt(r^2 - x^2), that's a semicircle. MY formula says the surface area of a sphere is 4*pi*r^2.

2 Answers · Science & Mathematics · 18/06/2019