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Unformatted text preview: R . (b) Find the number b such that the line y = b divides the region R in part (a) into two regions with equal area. [Hint: Try integrating with respect to y rather than x .] 4 2 22 3. (6 points) Find the area enclosed by one loop of the polar curve r = 4 sin(2 θ ). 3 1 2 3 1 2 r = 4 sin(2t) 4. (6 points) Find the volume of a tetrahedron with height h and with a right triangular base with side lengths a and b . [Note: A tetrahedron is a pyramid with a triangular base.] h a b 5. (8 points) Let z = 1 + √ 3 i . (a) Write z in polar form. (b) Find z 10 and write it in standard ( a + bi ) form....
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 Winter '07
 Takeda
 Math, MATH 20B, right triangular base

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