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1. approximations to areas (1) trapezoidal rule yy = f(x) abx 2. approximations to areas (1) trapezoidal rule yy = f(x) abx 3. approximations to areas (1) trapezoidal rule…
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)…
1. concavity 2. concavity the second deriviative measures the change in slope with respect to x, this is known as concavity 3. concavity the second deriviative measures the…
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)…
the slope (gradient) the slope (gradient) vertical rise(1) horizontal run m the slope (gradient) vertical rise(1) horizontal run m y x the slope (gradient) vertical…
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. using matrices to solvesimultaneous equations 2. using matrices to solvesimultaneous equations2 2 matrix a11 a12 a a21 a22 3. using matrices…
1. polynomial functions 2. polynomial functions a real polynomial p(x) of degree n is an expression of the form; p x p0 p1 x p2 x 2 pn1…
combinations combinations a combination is a set of objects where the order that they are arranged is not important. combinations a combination is a set of objects where…
1. polynomial theorems 2. polynomial theorems remainder theorem if the polynomial p(x) is divided by (x – a), then the remainder is p(a) 3. polynomial theorems remainder…
1. polynomial theorems 2. polynomial theorems remainder theorem if the polynomial p(x) is divided by (x – a), then the remainder is p(a) 3. polynomial theorems remainder…
1. polynomial division 2. polynomial division p x a x q x r x where; 3. polynomial division p x a x q x …
1. geometrical applications of differentiationthe first derivative 2. geometrical applications of differentiationddythe first derivative y, f x , f x…
1. concavity 2. concavitythe second deriviative measures the change in slope with respect to x,this is known as concavity 3. concavitythe second deriviative measures the…
1. polynomial theorems 2. polynomial theoremsremainder theoremif the polynomial p(x) is divided by (x – a), then the remainder is p(a) 3. polynomial theoremsremainder theoremif…
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. calculus rules 2. calculus rules 2. product rule 3. calculus rules 2. product rule “ write down the first and diff the second,pluswrite down thesecond and diff the first”…
1. properties of definite integral 2. properties ofdefinite integral n 1 b x 1 abx dx …