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Homework 11 (8_1)

# Homework 11 (8_1) - WebAssign Logged in as thenun gamma...

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Unformatted text preview: WebAssign Logged in as thenun gamma ‘u‘ iednesoav, Detemtie 4 mm was F'M ms: Math 129. section 07, Fali 2010 w MyAssignments Chenxing XIE‘ Math 129, section 07, Fail 201D Homework 11 (8.1) (Homework) instructor: Lay May Yeap @ Frill Assijlnu'lt Question 1 2 Total Points 5 5 10110 (100.0%) E Description Assignment Submission in Caiculus i, we used deﬁnite integrais to ﬁnd areas, average values, and total change. We can ﬁnd other quantities too. To do this, wedimde our quantity into smail pieces and then make an approximation using a Riemann sum, in some cases, ail we want is the approximation lfwe want the exact vaiue, wecompute the corresponding deﬁnite integral In this ﬁrst section we use this approach to soive problems in geometry For this assignment, the number ofsubmissions for each answer box is counted independentiy, The number of submissions remaining changes oniy if you submit a new orchanged answer, B Instructions Each prohiem is bioken into pans to iiiustrate the connection between the Riemann sum and thedeﬁnite integiai, You are given thevaiiable in each probiem and your work must use that variable, You shouid aiso be able to set up and compiete a probiem by choosing your own variable Remember, your answers should be in exact form, Write a Riemann sum and then a deﬁnite integrai representing the area of the region, using the strip shown in the ﬁgure below where a = 3 and b = 6. Evaluate the integral exactly. Use your work to answer the questions beiow. H—b—H I i EL *1 Himgvt Am What is the approximate area of the strip With respect to x? (Use Deitax for Ax as necessary.) — Ev In your deﬁnite integral what is the lower endpoint? Ii In your deﬁnite integral what is the upper endpoint? Ii What is the resuit when you evaluate the deﬁnite integral? lav What is the area of the entire triangle? I «I symboiic loimatting heip Write a Riemann sum and then a deﬁnite integrai representing the area of the region, using the strip shown in the ﬁgure below where a : B and b : 10. Evaiuate the integrai exactiy. use your work to answer the questions below. what is the approximate area of the strip With respect to h? (Use Deltah for Ah as necessary.) — av In your deﬁnite integral what is the lower endpoint? It! In your deﬁnite integral what is the upper endpoint? I" What is the resuit when you evaluate the deﬁnite integral? I " What is the area of the entire triangle? I Ev symboiic loirnattinu heiD Home MyAssignments wamrnno 4 u e 1537-2003 by Mom Camiina State univecsity. F'umons saws-20W WMVanDed inﬂumonai 5mm: rm: AH trams maven. ...
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