20c-sp95-helton-mid1-b

20c-sp95-helton-mid1-b - P 1 through (0 , , 0) and (1 , 2 ,...

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Math 20C Exam 1 Helton 1. Evaluate the following expressions and write your answer in the form a + bi . (a) 3 1 - 4 i (b) (3 - 2 i )( - 4 - i ) 2. Find the equation of the plane passing through the point (1 , 0 , 5) and parallel to the plane z =2 x +3 y. 3. (a) Write Taylor’s Series for the function f ( x ) = cos x at x 0 = π . (b) Estimate the values of x for which the corresponding Taylor polynomial of order 2 is a accurate to within .01. 4. What is the equation for the curve which is the intersection of the vertical plane
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Unformatted text preview: P 1 through (0 , , 0) and (1 , 2 , 0) and the plane P 2 given by 2 x +6 y +3 z = 4. To maximize partial credits rst write down a clear description of P 1 . 5. Evaluate the following expressions and write your answer in the form a + bi . (a) (1 + i ) 70 (b) e 4+3 i...
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