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samw08m3

samw08m3 - -4 when using the Trape-zoidal Rule and when...

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MAT 21B Sample Problems for Midterm III 1) (True/False) Label the following statements as either true or false. (No explanation required. Each correct label is worth two points.) a: ln (2 + 3) = ln 2 + ln 3 b: e 6 = ( e 3 ) 2 c: e ln ( x - y ) = e lnx - e lny d: i ( secx + tanx ) 2 dx = ( secx + tanx ) 3 3 + C e: sin ( m - n ) = sinm + cosn - tanx 2) (8 points) (Section 8.2 - 8.5) Find I z +1 z 2 ( z - 1) dz 3) (8 points) (Section 8.2 - 8.5) Find I π 2 0 sin 7 xdx 4) (8 points) (Section 8.2 - 8.5) Find I e x sinxdx 5) (8 points) Estimate the minimum number of subintervals needed to approximate the integral i 2 1 xdx 1

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with an error of magnitude less than 10
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Unformatted text preview: -4 when using the Trape-zoidal Rule and when using Simpson’s Rule. 6) (8 Points) A truncated conical container is 7 inch deep, 2.5 inches across at the base, and 3.5 inches across at the top. It is full of chocolate milkshake weighing 4/9 oz/in 3 . A straw sticks up one inch above the top. Set up an integral that calculates how much work is done drinking the entire milkshake through the straw. 2...
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samw08m3 - -4 when using the Trape-zoidal Rule and when...

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