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Methods Flash Cards

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Flashcards on Methods Flash Cards, created by Hannah Williams on 13/11/2017.
Hannah Williams
Flashcards by Hannah Williams, updated more than 1 year ago
Hannah Williams
Created by Hannah Williams over 6 years ago
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Resource summary

Question Answer
Quadratic formula
Image: Quadratic Formula (binary/octet-stream)
Image: Binomial Expansion (binary/octet-stream)
Image: Binomial Expansion As A Sum (binary/octet-stream)
Image: Sin(A+B) (binary/octet-stream)
Image: Sin(A+B) Answer (binary/octet-stream)
Image: Cos(A+B) (binary/octet-stream)
Image: Cos(A+B) Answer (binary/octet-stream)
Image: Sin2theta (binary/octet-stream)
Image: Sin2theta Answer (binary/octet-stream)
Image: Cos2theta (binary/octet-stream)
Image: Cos2theta Answer (binary/octet-stream)
Image: Sinh2x (binary/octet-stream)
Image: Sinh2x Answer (binary/octet-stream)
Image: Cosh (binary/octet-stream)
Image: Cosh Answer (binary/octet-stream)
Image: Tanh (binary/octet-stream)
Image: Tanh Answer (binary/octet-stream)
Image: Sinh2x (binary/octet-stream)
Image: Sinh2x Answer (binary/octet-stream)
Image: Cosh2x (binary/octet-stream)
Image: Cosh2x Answer (binary/octet-stream)
Image: Logx+Logy (binary/octet-stream)
Image: Logx+Logy Answer (binary/octet-stream)
Image: Logx Logy (binary/octet-stream)
Image: Logx Logy Answer (binary/octet-stream)
Image: Logax^P (binary/octet-stream)
Image: Logax^P Answer (binary/octet-stream)
Image: Logaa (binary/octet-stream)
Image: Logaa Answer (binary/octet-stream)
Image: Loga1 (binary/octet-stream)
Image: Loga1 Answer (binary/octet-stream)
Closed interval
Image: Closed Interval (binary/octet-stream)
Open interval
Image: Open Interval (binary/octet-stream)
Infinite
Image: Infinite (binary/octet-stream)
Equation of a straight line
Image: Equation Of A Straight Line (binary/octet-stream)
Image: Equation Of A Line (binary/octet-stream)
Image: Perpendicular Answer (binary/octet-stream)
Image: Length Of Line (binary/octet-stream)
Image: Points Answer (binary/octet-stream)
Image: Length If Line From ... (binary/octet-stream)
Image: Length (binary/octet-stream)
General equation of a conic
Image: Conic (binary/octet-stream)
Ellipse equation in standard form
Image: Ellipse Standard Form (binary/octet-stream)
Ellipse equation in parametric form
Image: Ellipse Parametric Form (binary/octet-stream)
Hyperbola equation in standard form
Image: Hyperbola Standard Form (binary/octet-stream)
Hyperbola equation in parametric form
Image: Hyperbola Parametric Form (binary/octet-stream)
Parabola in standard form
Image: Parabola In Standard Form (binary/octet-stream)
Parabola in hyperbolic form
Image: Parabola In Hyperbola Form (binary/octet-stream)
Definition of the domain What goes into the function, the x values
Definition of the codomain What may possibly come out of the function
Definition of the range What actually comes out of a function, the y values
Definition of a one-to-one function Every element of the range corresponds to one element of the domain
Definition of an even function Symmetrical about the y-axis
Image: Even Function (binary/octet-stream)
Definition of an odd function Rotational symmetry about the origin
Image: Odd Function (binary/octet-stream)
Definition of a periodic function Graph repeats itself every T
Image: Periodic Function (binary/octet-stream)
Monotonically increasing
Image: Monotonic Increasing (binary/octet-stream)
Monotonically decreasing
Image: Monotonic Decreasing (binary/octet-stream)
Image: Plus Function (binary/octet-stream)
Image: Plus Function Answer (binary/octet-stream)
Image: Dot Function (binary/octet-stream)
Image: Dot Function (binary/octet-stream)
Image: Division Function (binary/octet-stream)
Image: Division Function Answer (binary/octet-stream)
Composite function
Image: Composite Function Answer (binary/octet-stream)
Inverse function where f(x) is one-to-one
Image: Inverse Function (binary/octet-stream)
Conditions for a function f(x) to be continuous at c
Image: Continuity (binary/octet-stream)
Image: Addition Limit Rule (binary/octet-stream)
Image: Addition Limit Rule Answer (binary/octet-stream)
Image: Multiplication Limit Rule (binary/octet-stream)
Image: Multiplication Limit Rule Answer (binary/octet-stream)
Image: Division Limit Rule (binary/octet-stream)
Image: Division Limit Rule Answer (binary/octet-stream)
nth term of an arithmetic sequence
Image: Arithmetic Sequence (binary/octet-stream)
nth term of a geometric sequence
Image: Geometric Sequence (binary/octet-stream)
Sum/difference rule
Image: Sum Difference Rule (binary/octet-stream)
Product rule
Image: Product Rule (binary/octet-stream)
Quotient rule
Image: Quotient Rule (binary/octet-stream)
Sandwich theorem
Image: Sandwich Theorem (binary/octet-stream)
Sum of n terms of an arithmetic series
Image: Arithmetic Sum (binary/octet-stream)
Sum to n terms of a geometric series
Image: Geometric Sum (binary/octet-stream)
Sum to infinity of a geometric series
Image: Sum To Infinity (binary/octet-stream)
Properties of convergent series
Image: Convergent Series (binary/octet-stream)
Divergence test
Image: Divergence Test (binary/octet-stream)
Comparison test
Image: Comparison Test (binary/octet-stream)
Ratio test
Image: Ratio Test (binary/octet-stream)
Leibniz' theorem
Image: Leibniz (binary/octet-stream)
Absolute convergence and it is said to converge absolutely.
Image: Absolute Convergence (binary/octet-stream)
Formal definition of a derivative
Image: Differentiation (binary/octet-stream)
Image: X To A (binary/octet-stream)
Image: X To A Answer (binary/octet-stream)
Image: Ln Ax (binary/octet-stream)
Image: Ln Ax Answer (binary/octet-stream)
Image: Exp (binary/octet-stream)
Image: Exp Answer (binary/octet-stream)
Image: Sin Derivative (binary/octet-stream)
Image: Sin Derivative Answer (binary/octet-stream)
Image: Cos Derivative (binary/octet-stream)
Image: Cos Derivative Answer (binary/octet-stream)
Image: Tan Derivative (binary/octet-stream)
Image: Tan Derivative Answer (binary/octet-stream)
Image: Inv Sin (binary/octet-stream)
Image: Inv Sin Answer (binary/octet-stream)
Image: Inv Cos (binary/octet-stream)
Image: Inv Cos Answer (binary/octet-stream)
Image: Inv Tan (binary/octet-stream)
Image: Inv Tan Answer (binary/octet-stream)
Image: Sinh Derivative (binary/octet-stream)
Image: Sinh Derivative Answer (binary/octet-stream)
Image: Cosh Derivative (binary/octet-stream)
Image: Cosh Derivative Answer (binary/octet-stream)
Image: Tanh Derivative (binary/octet-stream)
Image: Tanh Derivative Answer (binary/octet-stream)
Product rule
Image: Product Rule (binary/octet-stream)
Quotient rule
Image: Quotient Rule (binary/octet-stream)
Chain rule
Image: Chain Rule (binary/octet-stream)
Second derivative chain rule
Image: Second Derivative Chain Rule (binary/octet-stream)
Leibniz rule for repeated differentiation of products
Image: Leibniz Rule (binary/octet-stream)
The linearization of f(x) at x=a
Image: Linearization (binary/octet-stream)
Extreme value theorem of continuous functions If f(x) is continuous at every point on [a,b] then f takes both its maximum and minimum values on this interval.
Concave function f f is concave if any chord joining two points lies above the graph
Convex function f f is convex is any chord joining two points lies below the graph
Point of inflexion then x is a point of inflexion
Image: Point Of Inflexion (binary/octet-stream)
L'Hôpital's rule (for functions) If f(a)=g(a)=0 (or f(a)=g(a)=∞), and we can evaluate f'(a) and g'(a), then
Image: L'hopital (binary/octet-stream)
Intermediate Value Theorem A function f(x) that is continuous at all x∈[a,b] takes on every value between f(a) and f(b)
Rolle's Theorem Suppose that f(x) is continuous at all x∈[a,b] and it is differentiable at all x∈(a,b), and f(a)=f(b), then there is at least one value c∈(a,b) such that f'(c)=0
The Mean Value Theorem Suppose that f(x) is continuous at all x∈[a,b], it is differentiable at all x∈(a,b) then there is at least one c∈(a,b) such that
Image: Mean Value Theorem (binary/octet-stream)
Constant Difference Theorem
Image: Constant Differnece (binary/octet-stream)
Maclaurin series
Image: Maclaurin (binary/octet-stream)
Taylor series
Image: Taylor Series (binary/octet-stream)
Remainder term, Taylor's theorem
Image: Remaindeer Term (binary/octet-stream)
Remainder estimation where M and R are positive constants
Image: Remainder Estimation (binary/octet-stream)
Scalar product
Image: Scalar Product (binary/octet-stream)
Vector product
Image: Vector Product (binary/octet-stream)
Equation of a line (vectors)
Image: Equation Of A Line Vectors (binary/octet-stream)
Equation of a plane (vectors)
Image: 99 (binary/octet-stream)
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