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Compound interest. kn. FV = PV × 1 + r 100 k , where FV is the future value, PV is the present value, n is the number of years, k is the number of compounding periods per year, r% is the nominal annual rate of interest. SL. 1.5. Exponents and logarithms. x = b ⇔ x = log b , where a > 0, b > 0, a ≠ 1.
1.4. Compound interest. kn. FV = PV × 1 + r , where FV is the future value, 100 k PV is the present value, n is the number of years, k is the number of compounding periods per year, r% is the nominal annual rate of interest. SL. 1.5. Exponents and logarithms. x = b ⇔ x = log.
25 Σεπ 2018 · Complete Calculus Cheat Sheet - This contains common facts, definitions, properties of limits, derivatives and integrals. Most of the information here is generally taught in a Calculus I course although there is some information that is generally taught in a Calculus II course included as well.
MATHEMATICAL FORMULA TABLES. Version 2.1. November 2004. Other than this front cover these tables are identical to the UMIST, version 2.0 tables. CONTENTS.
7 Quadratic Functions. The quadratic function (aka the parabola function or the square function) f(x) = ax2 + bx + c. (7.1) can always be written in the form. f(x) = a(x h)2 + k. (7.2) where V = (h; k) is the coordinate of the vertex of the parabola, and further. V = (h; k) = b ; f 2a b 2a.
a ≤ ξ ≤ x. This result holds if f(x) has continuous derivatives of order n at last. If lim R = 0 , the infinite series obtained is called. n n →∞. Taylor series for f(x) about x = a. If a = 0 the series is often called a Maclaurin series.
4 methods of solving quadratic equations. Factorization. ax2 + bx + c = 0 By factorisation, (px + q)(rx + s)=0. s. = - or x = - General solution. The roots of ax2 + bx + c = 0. − ± √ 2 − 4. = 2. Completing the square method. x2 + bx + c = 0 By completing the square. b. (x + 2)2 = q. + = ±√. 2. = - ±√. 2. Graphical method.
