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1. volumes of solids of revolutiony y = f(x) x 2. volumes of solids of revolutionyy = f(x)a b x 3. volumes of solids of revolutionyy = f(x)a b x 4. volumes of solids of revolutionyy…
1. (1) area below x axis areasy y = f(x) x 2. (1) area below x axisareasyy = f(x) a1 ab x 3. (1) area below x axisareasyy = f(x) a1 ab x f x dx 0ba 4. (1)…
approximations to areas (1) trapezoidal rule y x y = f(x) a b approximations to areas (1) trapezoidal rule y x y = f(x) a b approximations to areas (1) trapezoidal rule y…
1. properties of definite integral 2. properties ofdefinite integral n 1 b x 1 abx dx …
1. geometric series 2. geometric seriesan geometric series is a sequence of numbers in which each term afterthe first is found by multiplying a constant amount to the previousterm.…
1. integration area under curve 2. integration area under curve 3. integration area under curve 4. integration area under curvearea 11 12 33 5. integration…
1. f x f x dxn 2. f x …
1. geometric series 2. geometric series an geometric series is a sequence of numbers in which each term after the first is found by multiplying a constant amount to the previous…
1. geometric series 2. geometric seriesan geometric series is a sequence of numbers in which each term afterthe first is found by multiplying a constant amount to the previousterm.…
1. some different looking induction problems 2006 extension 1 hsc q4d)tan tan i use the fact that tanα β to show that 1 tan tan…
1. some different looking inductionproblems2006 extension 1 hsc q4d) tan tan i use the fact that tanα β to show that1 tan tan…
1. mathematical induction 2. mathematical induction e.g.v prove 2n n 2 for n 4 3. mathematical induction e.g.v…
1. mathematical induction 2. mathematical inductione.g.v prove 2n n 2 for n 4 3. mathematical inductione.g.v…
1. mathematical induction 2. mathematical induction e.g. iii prove n n 1 n …
1. mathematical induction 2. mathematical inductionstep 1: prove the result is true for n = 1 (or whatever the first termis) 3. mathematical inductionstep 1: prove the result…
1. mathematical induction 2. mathematical induction step 1: prove the result is true for n = 1 (or whatever the first term is) 3. mathematical induction step 1: prove the…
1. series & applications 2. series & applications definitions 3. series & applications definitions sequence (progression):a set of numbers that follow a pattern…
1. mathematical induction 2. mathematical induction e.g. iii prove n n 1 n 2 is divisible by 3 3. mathematical induction …
1. applications of arithmetic & geometric seriesformulae for arithmetic series 2. applications of arithmetic & geometric seriesformulae for arithmetic series a series…
1. series & applications 2. series & applicationsdefinitions 3. series & applicationsdefinitionssequence (progression):a set of numbers that follow a pattern…