Unformatted text preview: Rule with 100 intervals to approximate the integral I ? (b) What is a reasonable estimate for the error if we decide to use the Midpoint Rule with 25 intervals to approximate the integral I ? 3. (5 points each) The complex number z has absolute value 2 and argument 3 π/ 4. Do each of the following and do not leave trig functions in your answers. (a) ±ind the Cartesian form of z (that is, x + iy ). (b) ±ind the polar form of all cube roots of z (that is, r and θ ). 4. (6 points) ±ind y (3), given that y ′ ( x ) = 2 xy and y (0) = 2. 5. (6 points) Evaluate I 2 x 2 dx x 2-1 . END O± EXAM...
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- Fall '08
- Calculus, Complex number, blue book