Notes on Surface Area with Examples - Calculus II | Lecture 9 | MATH 1320, Study notes of Calculus

Download Notes on Surface Area with Examples - Calculus II | Lecture 9 | MATH 1320 and more Study notes Calculus in PDF only on Docsity! Lecture 4 - Suclce Ave Very shraighitforword From our discussion & are lencrth Given a cone: \ L \ r Con Plain +o ot on seche- x ~ arch ine gz Area = (2°). ¢0- ac £ Could wan da a hrncoted cone: \A\ hb swhace orn is Aner, whe r= (ean) = “owage, radius” Surfoa ara llaw Wom His: Ow wy sonal inkrwols, Ow cats locks 9 The swhace aren He Nes sme is Amrl wy ana £ seckon of sto \Wee Ww Seamer In Wis case, C2 y= FO), ond L= oe wan ot te sqwet = Via (roay é* Adding al up Qivts Te surface owen of te awhace f revalvltan Canned In revolving, y= L(x) arowmd +e xXaxs is bo az S= \ An Fle) / 1+ (46s) dx Ee: FG): J/g belween -d 1a: f(x) = gy lax): Fae) > Ja-x > Gt) + xt a i+ CBG) = Q- x + x 8 q- xh a -%t gat O-xe 2 z z Se S= ( an FQ) [tetas -{ On Joe ‘ =r a -2 2 L 1 = | Qa. Jt dx = er | =| gan -2 -L Howe Nols of wos ty ike Ma's, Bree . 14 (8G ax =ds had oleae nawes: lb S= | any ds Ths i§ ™ easie Z more. Clexilole Coen y= distor Com x-axis = distance, Wom alg ff tenolohon dss Newest of ave Lage” = 14 (BY ox = fit (2) oy % Th xs ay) ny ahi oct » b 7 S= | amy ds | ary /[\+ (C3) dy