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Questions and Answers
What is the volume of the ellipsoid described by $y^2 + rac{z^2}{4} = 1$ in the first octant?
What is the volume of the ellipsoid described by $y^2 + rac{z^2}{4} = 1$ in the first octant?
- $3 au abc$
- $2 au abc$
- $4 au abc$ (correct)
- $rac{4}{3} au abc$
What is the area of the circle $r = a(1+4 ext{cos} heta)$?
What is the area of the circle $r = a(1+4 ext{cos} heta)$?
- $2a(1+4 ext{cos} heta)$
- $a^2(1+4 ext{cos} heta)$ (correct)
- $8a(1+4 ext{cos} heta)$
- $4a(1+4 ext{cos} heta)$
Find the angle between the surfaces $y^2 - z - 3 = 0$ and $y^2 + 9z = 0$ at the point $(2, -rac{1}{2})$.
Find the angle between the surfaces $y^2 - z - 3 = 0$ and $y^2 + 9z = 0$ at the point $(2, -rac{1}{2})$.
- $rac{ au}{4}$ (correct)
- $rac{ au}{2}$
- $rac{ au}{6}$
- $rac{ au}{3}$
What is the area between the curves $y = 0$, $y = 3x-6$, and $x^2 + y^2 = 36$?
What is the area between the curves $y = 0$, $y = 3x-6$, and $x^2 + y^2 = 36$?
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Find the area enclosed by the curve $r = a(1+4 ext{cos} heta)$.
Find the area enclosed by the curve $r = a(1+4 ext{cos} heta)$.
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