# Santa Monica College Calculus Questions

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nzveermnoz

Mathematics

Santa Monica College

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UCLA х Sample x | UFreeg x Stewart X _ C The Mix C Given x G (rounde x C Estimat X C This GiX G This qu x C This Qux C This Qu x + 0 Х { t с webassign.net/web/Student/Assignment-Responses/tutorial?dep=26814306&tags=autosave#question3391357_3 K : !!! Apps M Gmail YouTube Maps Translate Your AliExpress sho... High Quality 100%... Reading list Step 2 and X1 is the We know that to represents the beginning of the first subinterval, so xo = 0.125 x 0 endpoint of the first sub-interval (which is also the beginning of the second subinterval), and so X = 1/4 0.25 Step 3 This gives us T4 = 1 8 [2 cos(0) + 4 cos os(io) + 4 cosi os(4) + 4 cosi os(13) + 2 cos(1)] 10.749107 X (rounded to six decimal places) Therefore, using the Trapezoidal Rule with n = 4 and rounding to six decimal places we have [? 2 cos(x2) dx = Submit Skip (you cannot come back) Exercise (b) the Midpoint Rule Click here to begin! Need Help? Read It 2. [-/3 Points] DETAILS SCALC8 7.7.007. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with the specified value of n. (Round your answers to six decimal places.) O Type here to search וחו O ENG 4:11 PM 7/5/2021 1 UCLA ILI х Sample | UFreeG WA Stewart x C The Mix C Given x G (rounde x C Estimat X - C This GiX G This qu x C This Qux C This Qu x + X 个 > с webassign.net/web/Student/Assignment-Responses/tutorial?dep=26814306&tags=autosave#question3391357_3 K : Apps M Gmail YouTube Maps Translate Your AliExpress sho... High Quality 100%... Reading list 1. [3/18 Points] DETAILS PREVIOUS ANSWERS SCALC8 7.7.003.MI.SA. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Estimate [ 2 cos(x) dx using the following rule with n = 4. Exercise (a) the Trapezoidal Rule Step 1 The Trapezoidal Rule says that Dorus f(x) dx Tn = Ax - [f(x0) + 2f(x1) + ... + 2f(xn - 1) + f(xn)]. 2 We need to estimate \$2 2 cos(x2) dx with n = 4 subintervals. We have Ax = 0.25 0.25 Therefore, Ax = 0.125 2 0.125 Step 2 0 and X1 is the We know that to represents the beginning of the first subinterval, so Xo = 0.125 x endpoint of the first sub-interval (which is also the beginning of the second subinterval), and so 0.25 X1 = 1/4 Step 3 This aivas TIC H O Type here to search וחו CO < DO ENG 4:11 PM 7/5/2021 1 UCLA Х Sample ~ UFree x WA Stewart * _ C The Mix C Given x G (rounde * C Estimat X C This Gix G This qu x C This Qux C This Qu x + 0 Х f с webassign.net/web/Student/Assignment-Responses/tutorial?dep=26814306&tags=autosave#question3391403_O K : !!! Apps M Gmail YouTube Maps Translate Your AliExpress sho... High Quality 100%... Reading list T4 = 1 8 [2 1 2 cos(0) + 4 cosa 16 + 4 cos os(1) + 4 cos 9 16 + 2 cos(1) = 10.749107 X (rounded to six decimal places) Therefore, using the Trapezoidal Rule with n = 4 and rounding to six decimal places we have 2 cos(x2) dx = Submit Skip_(you cannot con back) Exercise (b) the Midpoint Rule Step 1 The Midpoint Rule says that L*** f(x) dx a Mn = Ax[f(x1) + f(x2) + ... + f(x)] with Ax = b-a. n We again need to estimate \$ 2 cos(x2) dx with n = 4 subintervals. For this, 1-0 Ax = = 1/64 x Submit Skip(you cannot come back) Need Help? Read It NFTAIL CALCO O Type here to search וחו ( 0 . A ENG 4:11 PM 7/5/2021 1 UCLA х Sample UFreeG * Stewart X _ C The Mix C Given x | G (rounde x C Estimat X C This Gix G This qu x C This Qux C This Qu x + Х 个 → с webassign.net/web/Student/Assignment-Responses/tutorial?dep=26814306&tags=autosave#question3391403_0 K : Apps M Gmail YouTube Maps Translate Your AliExpress sho... High Quality 100%... Reading list 2. [-/3 Points] DETAILS SCALC8 7.7.007. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with the specified value of n. (Round your answers to six decimal places.) x3 - 1 dx, n = 10 (a) the Trapezoidal Rule (b) the Midpoint Rule (c) Simpson's Rule Need Help? Read It Watch It 3. [-13 Points] DETAILS SCALC8 7.7.010. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with the specified value of n. (Round your answers to six decimal places.) 1/2 V2 + cos(x) dx, n = 4 (a) the Trapezoidal Rule (b) the Midpoint Rule (c) Simpson's Rule Need Help? Read It O Type here to search DI CO < Do ENG 4:11 PM 7/5/2021 1 ILI UCLA Sample ~ UFree x Х WA Stewart x _ C The Mix C Given x | G (rounde x C Estimat X C This GiX G This qu x C This Qux C This Qu x + X 个 > с webassign.net/web/Student/Assignment-Responses/tutorial?dep=26814306&tags=autosave#question3391357_3 K : Apps M Gmail YouTube Maps Translate Your AliExpress sho... o High Quality 100%... Reading list DETAILS 4. [-/17 Points] SCALC8 7.7.019.MI.SA. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Given the integral below, do the following. [ 26 cos(x2) dx Exercise (a) Find the approximations T4 and M4 for the given interval. Step 1 The Midpoint Rule says that b - a L® RX) f(x) dx a Mn = Ax[f(x1) + f(x2) + ... + f(xn)] with Ax = n We need to estimate 26 cos(x2) dx with n = 4 subintervals. For this, 1 - 0 AX = = Submit Skip(you cannot come back) Exercise (b) Estimate the errors in the approximations of part (a). Click here to begin! O Type here to search וחו < DO ENG 4:11 PM 7/5/2021 1
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