problem3_pdf - rabbani (tar547) HW03 Radin (56635) 1 This...

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Unformatted text preview: rabbani (tar547) HW03 Radin (56635) 1 This print-out should have 20 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. 001 10.0 points Decide which of the following regions has area = lim n n summationdisplay i = 1 2 n tan i 2 n without evaluating the limit. 1. braceleftBig ( x, y ) : 0 y tan x, x 4 bracerightBig 2. braceleftBig ( x, y ) : 0 y tan 2 x, x 4 bracerightBig 3. braceleftBig ( x, y ) : 0 y tan 3 x, x 4 bracerightBig 4. braceleftBig ( x, y ) : 0 y tan 2 x, x 2 bracerightBig 5. braceleftBig ( x, y ) : 0 y tan 3 x, x 2 bracerightBig 6. braceleftBig ( x, y ) : 0 y tan x, x 2 bracerightBig 002 10.0 points Estimate the area under the graph of f ( x ) = 3 sin x between x = 0 and x = 3 using five approx- imating rectangles of equal widths and right endpoints. 1. area 1 . 747 2. area 1 . 767 3. area 1 . 787 4. area 1 . 707 5. area 1 . 727 003 10.0 points Rewrite the sum 6 n parenleftBig 5 + 2 n parenrightBig 2 + 6 n parenleftBig 5 + 4 n parenrightBig 2 + . . . + 6 n parenleftBig 5 + 2 n n parenrightBig 2 using sigma notation. 1. n summationdisplay i =1 6 i n parenleftBig 5 + 2 i n parenrightBig 2 2. n summationdisplay i =1 6 n parenleftBig 5 i + 2 i n parenrightBig 2 3....
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This note was uploaded on 04/13/2010 for the course M 408L taught by Professor Radin during the Spring '08 term at University of Texas at Austin.

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problem3_pdf - rabbani (tar547) HW03 Radin (56635) 1 This...

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