Quotient identities Study guides, Class notes & Summaries

2 © OCR 2023 H640/02 Jun23 ^ h = e n+1 2 n 2 2 L P Formulae A Level Mathematics B (MEI) (H640) Arithmetic series S = 1 n^a + lh = 1 n"2a +^n - 1hd, Geometric series Sn = a 1-r n 1 -r a 3 1-r for r 1 1 Binomial series ^a+bh n = a n + nC1 a n-1 b+ nC2 a n-2 b 2 +f+ nCr a n-r b r +f+b n n e N , n J n N n! where Cr = n Cr = K r O = r!^n -rh! ^1+xh n = 1+nx+ n^n -1h x 2 +f+ n^n -1hf^n -r+1h x r +f x 1 1, n e R 2! Differentiation...

2 © OCR 2023 H640/01 Jun23 = r n r Kr O e n+1 2 Formulae A Level Mathematics B (MEI) (H640) Arithmetic series S = 1 n^a+lh = 1 n"2a+^n-1hd, n 2 2 Geometric series Sn = a^1-r nh 1 -r a 3 1 -r for r 1 1 Binomial series ^a+bh n = a n + nC1 a n-1 b+ nC2 a n-2 b 2 +f+ nCr a n-r b r +f+ b n ^n e Nh, where nC = C = J n N = L P n! r!^n -rh! ^1+xh n = 1+nx+ n^n -1h x 2 +f+ n^n - 1hf^n -r+1h x r +f ^x 1 1, n e Rh 2! Differentiation f^x...

2 © OCR 2023 H240/03 Jun23 ^ h = n+1 2 n 2 2 2! r! dx dx Formulae A Level Mathematics A (H240) Arithmetic series S = 1 n^a + lh = 1 n"2a +^n - 1hd, Geometric series Sn = a 1-r n 1 -r a 3 1-r for r 1 1 Binomial series ^a+bh n = a n + nC1 a n-1 b+ nC2 a n-2 b 2 +f+ nCr a n-r b r +f+b n ^n e Nh, where nC = C = c n m = n! r n r r r!^n -rh! ^1+xh n = 1+nx+ n^n -1h x 2 +f+ n^n -1hf^n -r+1h x r +f ^x 1 1, n e Rh Differentiation f x fl x...

The Circle Formula - ANS-(x - a)² + (y - b)² = r² Where (a,b) is the centre and (x,y) is any point on the circle. The Discriminant - ANS-b² - 4ac Where 0 gives a tangent (repeated root); > 0 gives two real roots; < 0 gives no real roots; d²y/dx² > 0 = minimum point SUVAT - ANS-v = u + at s = ut + 0.5at² v² = u² + 2as s = vt - 0.5at² s = 0.5t(u + v) Product Rule - ANS-dy/dx = u(dv/dx) + v(du/dx) Quotient Rule - ANS-dy/dx = (v(du/dx) - u(dv/dx)) / v² Where the ori...

2 © OCR 2023 H640/03 Jun23 = e n+1 2 Formulae A Level Mathematics B (MEI) (H640) Arithmetic series S = 1 n^a+lh = 1 n"2a+^n-1hd, n 2 2 Geometric series Sn = a^1-r nh 1 -r a 3 1 -r for r 1 1 Binomial series ^a+bh n = a n + nC1 a n-1 b+ nC2 a n-2 b 2 +f+ nCr a n-r b r +f+ b n ^n e Nh, n Jn N n! where Cr = n Cr = K r O = r!^n -rh! L P ^1+xh n = 1+nx+ n^n -1h x 2 +f+ n^n - 1hf^n -r+1h x r +f ^x 1 1, n e Rh 2! Differentiation f^x...

Sociology is the study of... Social systems that should be investigated as an interrelated whole Theorists argue that education is... The act of imparting or acquiring knowledge and skills, a form of socialization, a means of shaping learners' characters, not static but dynamic The sociology of education.... Examines the relationship between the school, politics, economics and culture Which of the following have contributed towards the development of new social patterns ...

Department of Mathematics Courses of Study: Minor Major (B.A.) Combined B.A./M.A Master of Arts Doctor of Philosophy Objectives Undergraduate Major As our society becomes more technological, it is more affected by mathematics. Quite sophisticated mathematics is now central to the natural sciences, to ecological issues, to economics, and to our commercial and technical life. A student who takes such general level courses as MATH 5, 8, 10, 15, or 20 will better understand the world ...

CNUR 106 Why is education important for clients? - ANS increases the competencies and confidence of clients to manage their own self-care Why is education important for staff? - ANS Teaches them how to deliver high-quality care Benefits of education for clients: - ANS -increases client satisfaction -improves quality of life -decreases incidences of illness complications -decreases anxiety -maximizes independence Benefits of education for staff: - ANS ...

NURS 171 UWORLD MENTAL HEALTH QUIZ Questions and Answers 1. A nurse is admitting a child and observes multiple irregular bruises. Which action should the nurse take next? 1. Ask parents to leave the room during the admission process 2. Continue with a detailed interview and physical examination 3. Notify the charge nurse and the social worker 4. Promise not to tell anyone if the child reveals abuse 2. A client with obsessive-compulsive disorder (OCD) has been cleaning a bathroom for most...

NURS 171 UWORLD MENTAL HEALTH QUIZ Questions and Answers 1. A nurse is admitting a child and observes multiple irregular bruises. Which action should the nurse take next? 1. Ask parents to leave the room during the admission process 2. Continue with a detailed interview and physical examination 3. Notify the charge nurse and the social worker 4. Promise not to tell anyone if the child reveals abuse 2. A client with obsessive-compulsive disorder (OCD) has been cleaning a bathroom for most...