Asymptotes Study guides, Class notes & Summaries

AS MATHEMATICS Paper 1 Time allowed: 1 hour 30 minutes For Examiner’s Use Question Mark 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 TOTAL Materials  You must have the AQA Formulae for A‑level Mathematics booklet. l You should have a graphical or scientific calculator that meets the requirements of the specification. Instructions  Use black ink or black ball‑point pen. Pencil should only be used for drawing.  Fill in the boxes at the top of t...

- Sn = n/2 (2a + (n-1)d) - Sn = n/2 (a + l) where a is the first term and l is the last term - correct answer formula of an arithmetic series the sum of the terms of an arithmetic sequence - correct answer what is an arithmetic series - Un = a + (n-1)d - a = the first term - d = the common difference - correct answer nth term of an arithmetic sequence - Un = ar^(n-1) - a = ...

Edexcel A Level Maths – Pure A+ Graded 100% Verified Natural Numbers ANS: The set of numbers 1, 2, 3, 4, ... Also called counting numbers. Integers ANS: The set of whole numbers and their opposites Z⁺ Z⁺₀ Rational Number ANS: set of all numbers that can be written as a fraction of two integers Q irrational numbers ANS: Numbers that can't be written as a fraction... examples √2 and π Universal Set ANS: A set that includes all the objects being discussed. - Ex...

1. 2x(x 3) (x 1)(x 2)  a. 2 x 7x  2. b. 2 x 5x  2 . c. 2 3x 7x  2. d. 2 3x 5x  2. e. 2 3x 5x 2 . 2. 7 2 2 x x x     a. 7 2 x x   . b. 7 2 x x   . c. 2 29 14 4 x x x   . d. 2 29 14 4 x x x   . e. 7 4 x  . 3. 3 2 x = a. 2 3 x . b. 3 x  . c. 3 2 x . d. 6 x  . e. 6x two vertical asymptotes; one oblique asymptote . b. one ver...

1. 2x(x 3) (x 1)(x 2)  a. 2 x 7x  2. b. 2 x 5x  2 . c. 2 3x 7x  2. d. 2 3x 5x  2. e. 2 3x 5x 2 . 2. 7 2 2 x x x     a. 7 2 x x   . b. 7 2 x x   . c. 2 29 14 4 x x x   . d. 2 29 14 4 x x x   . e. 7 4 x  . 3. 3 2 x = a. 2 3 x . b. 3 x  . c. 3 2 x . d. 6 x  . e. 6x two vertical asymptotes; one oblique asymptote . b. one ver...

evaluate the integral 2/1, ln(x)/x dx - ANSWER-(ln2)^2/2 consider the function f(x)=x^4-4x^3. which of the following is NOT true - ANSWER-f has a local extrema at x=0 and x=3 find the work done by a force F=sqroot 2x+1 N to move an object along a straight path from a distance of 0 meters to a distance of 4 meters - ANSWER-26/3 J an object is moving along the x-axis. Let s(t), v(t) and a(t) be functions giving the position, the velocity, and the acceleration of the object at time t. whic...

Suppose that w and t vary inversely and that t=1/5 when w=4. Write a function that models the inverse variation, and find t when w=9. - t=4/5w; 4/45 Suppose that y varies directly with x and inversely with z, and y=18 when x=15 and z=5. Write the equation that models the relationship. Then find y when x=21 and z=7. - y=6x/z; 18 Graph the function y=13/6x - Graph C Sketch the asymptotes, and graph the function y= 5/(x-2) +3 - Graph C This graph of a function is translation of y=4/x. what is...

Asymptote - correct answer a horizontal, vertical, or slanted line that a graph approaches but never touches coefficient of determination - correct answer A statistic that measures how well a regression prediction approximates the real data points. An r^2 of 1 indicates that the regression prediction is a perfect fit for the data common ratio - correct answer ...

Functions, polynomials, fundamental theorems and rules, asymptotes and complex numbers.

Quadratic Functions to Vertex Form - (3.6) 2 Methods: Complete the square (be careful if x-squared term doesn't have a 1 coefficient), or Use vertex formula to find h and k and fill in the blanks. h=-b/2a, k=f(-b/2a) Graphing Quadratic Functions - (3.6) positive a, opens up. Negative a, opens down. Vertex, h=--b/2a. k= f(-b/2a). Axis of symmetry, x=-b/2a. Domain of sum, difference, or product of 2 functions - (3.7) Domain is the intersection of the domains of the 2 original functions. Tha...