10 Question with Answer - Examination 3 - Calculus Analytic Geometry | MAT 272, Exams of Analytical Geometry and Calculus

Download 10 Question with Answer - Examination 3 - Calculus Analytic Geometry | MAT 272 and more Exams Analytical Geometry and Calculus in PDF only on Docsity! Test3 Foam A e NO TI-89 OR HIGHER ability CALCULATORS ARE ALLOWED!!! Your calculator should not have any supporting program on it! SHOW ALL YOUR WORK! 1. @pts) State the definition of the double integral bie at where R = [a,b] x [c,d]. deupar - Lim 22 #08) AA nym o Whe AAs one dnc m™ 2: (10 pts) Find the average value of f(x,y) = ycos(x)+4 on R= (0, 7/6] x [4,5]. 6 {ove Rie 1 {( yoset4 dydk = oralkR ae O4 ib ; ax of =S( Sam +2~(2 cesx +16) wai by ease dx cask (2 O We ¢ 7 we ~ & Asinx t4x] = LE) Ses 4 dK = = “Loin P oa 3. (15 pts) FIND i or using polar coordinates. vty O a, L 2 kd xerKe —s bexty a ryud Wh | Lo | fx - ‘t-dtd i a SS tee vite Oo el ol res ofp 2% | 1 | aude = ‘J aun | db = ae ee " 3 8) | Ip @ — oa fa ie |, Lf (@-D38- (2-1 - | 0 e JE | i e¢ NO TI-89 OR HIGHER ability CALCULATORS ARE ALLOWED!!! Your calculator should not have any supporting program on it! 4. (12 pts) SET UP (do not calculate!!!) a triple integral to find the volume of the finite solid bounded by 2x+y+z=4 and the coordinate planes. solid bype 4 5. (15 pts) Evaluate the integral: f [- e dxdy . (Be careful that you do not invent new, non-existing iz =x (x8) ‘ J nuwrde Ag (enic« type . tules of integration!!!) region ( t 5 mie) ae \ : "Ke Keds dye} ©] bs e dxdy JJ e dy : . j Jive’ dx -tfedu = Ze] = ° esi = $(e-1)