Calc & Analyt Geom II (HONORS)
Calc & Analyt Geom II (HONORS) MATH 2423
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This 18 page Class Notes was uploaded by Einar Nitzsche on Monday October 26, 2015. The Class Notes belongs to MATH 2423 at University of Oklahoma taught by Lucy Lifschitz in Fall. Since its upload, it has received 37 views. For similar materials see /class/229290/math-2423-university-of-oklahoma in Mathematics (M) at University of Oklahoma.
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Date Created: 10/26/15
NAME 1 Math 2423 Test ll April 11 2007 Show all your work to receive full credit You can use a 3 X 5 index card with favorite formulas The use of books and lecture notes is not allowed Good luckl l 20 pts Find the formula for the inverse g f 1 of the function f 2511 State the domain and the range of g H 20 pts Find 21 1x962m b y cosln c y arctansin z arcsin d y COS III 20 pts 21 Find the exact value of 310g3210g35 b Solve the equation for z 65z2 2 IV 20 pts Find the limit m 339 llmm o arctan2z b limmHOJr ln z2 V 20 pts Integrate a fxsin2xdx b fxsinzcossxdz c f dx 1 d f WC NAME 1 Math 2423 Final May 11 2007 Show all your work to receive full credit You can use a 3 X 577 index card with favorite formulas The use of books and lecture notes is not allowed Good luck I 20 pts Sketch the region bounded by y sinx7 y cm x 0 and z 7r2 Find the area of this region H 20 pts Find the volume of a solid obtained by rotating the region bounded by y 2 z y2 about z 71 Ill 20 pts 21 Use the Trapezoidal Rule to nd the approximation T4 for L em2dm b Estimate the error of this approximation c How large should we Choose 71 so that the approximation Tn is accurate to within 10quot IV 20 pts Determine whether the improper integral is convergent or divergent Eval uate those that are convergent a fooo e 5wdx b 31 17126 V 20 pts Find the length of the curve y523z320z1 VI 20 pts Find the center of mass of the region bounded by the curves y 5 7 2 y 0 NAME 1 Math 2423 Test 1 February 21 2007 Show all your work to receive full credit The use of books and notes is not allowed Good luck I 10 pts lf fx 1 1 S x S 57 evaluate the Riemann surn with n 4 taking the sample points to be the left endpoints ll 10 pts Evaluate the integral showing all your work a lm 7 2mm b fol2 cos x sinsin zd III 20 pts Sketch the region enclosed by the curves y 20 7 x2 and y 2 7 12 Then nd the area of the region IV 20 pts Find the volume of the solid obtained by rotating the region bounded by y2 andy4abouty4 V 20 pts A force of 30N is required to maintain a spring stretched from its natural length of 15cm to a length of 18cm How much work is done in stretching the spring from 15cm to 250m VI 20 pts 21 Find the average value of the function f V on 04 b Find the value c 6 04 such that fc fave