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# Analytic Geometry and Calculus III MATH 275

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This 5 page Class Notes was uploaded by Mr. Jayde Auer on Friday October 23, 2015. The Class Notes belongs to MATH 275 at University of Idaho taught by Staff in Fall. Since its upload, it has received 6 views. For similar materials see /class/227763/math-275-university-of-idaho in Mathematics (M) at University of Idaho.

## Reviews for Analytic Geometry and Calculus III

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Date Created: 10/23/15

Math 275 Exam 2 Review Questions Summer 2005 This is NOT a comprehensive review Reference the homework problems on the outline and examples from your notes for the most comprehensive review 1 Find the equation of the plane tangent to the surface z l we cos 2 at the point 1 07 U 2 Find the rate of change of V zlg y 1211 at 4 in the direction of the origin 3 In what direction does the function from the last problem increase most rapidly from the point 2 9 4 Find the critical points of f1y 31211 1fg 352 3112 2 Classify them as maxima minima or saddle points C7 Find the maximum value of f1 y z 121 4 z on the surface 1211 z 0 6 Evaluate the iterated integral 12 2112 M11211 lg11 1 0 7 Evaluate the inte l39ral b reversin 139 the order of inte fratien f5 39 l l 2 c lg11 0 1 Evaluate 32 51 lll where D is the region bounded by I 21 and 31 3 7 12 I 00 9 Evaluate my 1A where D is the region outside 39I 3 and inside 739 2 2 cos 6 I 1 Set up but do not evaluate integrals for the following a The surface area of the part of z 12 lying over the triangle with vertices 0 l 2 07 and 11 b The surface area of the part of the sphere 12 1112 zz 16 lying above the plane 2 3 Mam 775 39 Beam 1 Review go 77077 5 Q Paws zlxe c031 VFX3lt 36032rerCost 1 xcasfnzgt VFI00lt gt Eguah39on of Plane 39 41 lgt xv 3 0 2390 0 lx Ij 2 0 9 lxw tqj V76 lt22lty xir 7gt 7 V39F3H lt24 31 lt 34gt a g are 3 c 392 MO 10 99 ltlg gtlt2qg gt 1 To 5 V F29gt lt3C136 x1791 X xy x 6gtltgt quot3 9 XC7 039quot 7quotquot 2 1 I W 4 37 3 7 375w 0 3x23 0 if 3 1O X1 I quotX y y0y2 X il 7 2 0003 gt MMm y 5X U 2 I7 67 v 3M1 mom 39 Ixx omzw igt 0390 3 a 7 9012 1139 B Lxx02 L157 02 is a ml n DO 0 I anc hi W C PH 39 6 23 gaddlcs S I l 6 V lt1211gtT V23 3 l1 zxv iquot 7 gtquotquot 37 X739 gtXi 2i3 2 o x 7 2 o 7 2372 2 l2 2141 2 12 3912 2 K H4542 2 24 3912 17 2 2q 3 MMWW 5 H237 7 5 Z WW y xAx 1 thl 112 j ja X yrii r x 7 I JO 7 1 2 Sl X2 0gtQ x cX7 J 1291391 vx aquot L Lyef xciy I joxe z A7 MI I v1 1 2x 3 vx 1 341 l 39 1 z y3x x3xl0 f 7 quot XLJVJX quot 37 x7 39 dx Ks le 39 3 2X 3 Pk I 395 J BO 1x3x x32f gtlt 3 J 173927X1 r 7ft xquot 3x 3x ix 2x 4x 3 H U 0 Extf EX3 7Xz sx 7 Jx 39 I x l7 35 4 1 3932 aquot 5 mquot 23x z x 7x A w39 1 1521 771351 712 A 1 5 3 3 2 7 5 quot93953392 tlJ 059 3 g f72C0e 2 2056 3 22c se 9 7 V 7 rC07597Y 50 3939 92W 0 J3 3 1case I q r 2k2cu 5 YESMOCOSQCIYJO 3 j Sheena 46 0 0 r3 3 If Q u22cne a 1 r2cose ISln96059cje gel 45ng 0 C059 21 7 5 2 i 5u931u39f2 339c1u uq u80u quot Us A5 8 1 95 73 l 5 4 M 1quot 939 u 0 9 6 5 IT 39 2ZC059 2 10359 2 3 L 3i 8 1 PT 7 22mse 3 244059 0 4 23 3 in 223 3 5q313 l1 5564r8l4 2 quot3 a39amsvf i H 00 2x i I 2 7 399 Lgmgxgy 10 m M 95 39 7 L y X1f 71 397 39Fx lb leyz 1t m g S La om f7 lfyz WWW WT 4A 1W J 1quot J77 j rm zlif 4 My IL r l 0 0 o

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