Horizontal asymptotes Study guides, Study notes & Summaries

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...

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 ...

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...

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...

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...

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...

AQA AS FURTHER MATHEMATICS 7366/1 Paper 1 Version: 1.0 Final G/LM/Jun23/E7 7366/1 (JUN) AS FURTHER MATHEMATICS Paper 1 Monday 15 May 2023 Afternoon Time allowed: 1 hour 30 minutes Materials  You must have the AQA Formulae and statistical tables booklet for A-level Mathematics and A-level Further Mathematics.  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...

Calculus 1 - Limits: Introduction to Limits, An Intuitive Understanding, Averages Rates of Changes and Secant Lines, Defining the Slope of A Curve, Instantaneous Rate of Change and Tangent Lines, Limits of Function Values, The Limit Laws, Eliminating Common Factors from Zero Denominators, Horner Method, Continuity, Limits at Infinity; Horizontal Asymptotes. Coupled with examples of problems with discussion step by step.

Finding & identifying horizontal asymptotes given functions, and being able to estimate limits given a graphical representation of the function. Also further info on vertical asymptotes.