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HW03 (2-2)

# HW03 (2-2) - mao(tm23477 HW03 Radin(56570 This print-out...

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mao (tm23477) – HW03 – Radin – (56570) 1 This print-out should have 18 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points Rewrite the sum 5 n parenleftBig 4 + 2 n parenrightBig 2 + 5 n parenleftBig 4 + 4 n parenrightBig 2 + . . . + 5 n parenleftBig 4 + 2 n n parenrightBig 2 using sigma notation. 1. n summationdisplay i =1 2 n parenleftBig 4 i + 5 i n parenrightBig 2 2. n summationdisplay i =1 5 n parenleftBig 4 i + 2 i n parenrightBig 2 3. n summationdisplay i =1 5 i n parenleftBig 4 + 2 i n parenrightBig 2 4. n summationdisplay i =1 5 n parenleftBig 4 + 2 i n parenrightBig 2 5. n summationdisplay i =1 2 i n parenleftBig 4 + 5 i n parenrightBig 2 6. n summationdisplay i =1 2 n parenleftBig 4 + 5 i n parenrightBig 2 002 10.0 points Estimate the area, A , under the graph of f ( x ) = 5 x on [1 , 5] by dividing [1 , 5] into four equal subintervals and using right endpoints. 003 10.0 points Decide which of the following regions has area = lim n → ∞ n summationdisplay i =1 π 2 n cos 2 n without evaluating the limit. 1. braceleftBig ( x, y ) : 0 y cos 2 x, 0 x π 2 bracerightBig 2. braceleftBig ( x, y ) : 0 y cos 3 x, 0 x π 2 bracerightBig 3. braceleftBig ( x, y ) : 0 y cos x, 0 x π 4 bracerightBig 4.

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HW03 (2-2) - mao(tm23477 HW03 Radin(56570 This print-out...

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