2.4 Continuity
... discontinuity. The discontinuities in part (d) are called jump discontinuities because the function “jumps” from one value to another. ...
... discontinuity. The discontinuities in part (d) are called jump discontinuities because the function “jumps” from one value to another. ...
5 Famous Math Conjectures
... A conjecture is a proposition that is unproven but appears correct and has not been disproven. After demostrating the truth of a conjecture, this came to be considered a theorem and as such can be used to build other formal proofs. ...
... A conjecture is a proposition that is unproven but appears correct and has not been disproven. After demostrating the truth of a conjecture, this came to be considered a theorem and as such can be used to build other formal proofs. ...
Pre-Calculus Honors - Unit 2 Polynomial Functions
... Use long division and synthetic division to divide polynomials by other polynomials. Perform operations with complex numbers and plot complex numbers in the number plane. Graph polynomial functions by finding the x-intercepts and y-intercepts, including double and triple roots. Determine the number ...
... Use long division and synthetic division to divide polynomials by other polynomials. Perform operations with complex numbers and plot complex numbers in the number plane. Graph polynomial functions by finding the x-intercepts and y-intercepts, including double and triple roots. Determine the number ...
Lesson 3-8: Derivatives of Inverse Functions, Part 1
... * See geometric “proof” on SMART Board. See explanation in text book on page 165. df Theorem: If f is differentiable at every point of an interval I and is never zero on I, then f has an dx inverse and f 1 is differentiable at every point of the interval f I ...
... * See geometric “proof” on SMART Board. See explanation in text book on page 165. df Theorem: If f is differentiable at every point of an interval I and is never zero on I, then f has an dx inverse and f 1 is differentiable at every point of the interval f I ...
Unit 10 PowerPoint Slides
... An area’s centroid is the point located at the “weighted-average” position of all points in the area. For objects of uniform density, the centroid is the same as the object’s center of mass. ...
... An area’s centroid is the point located at the “weighted-average” position of all points in the area. For objects of uniform density, the centroid is the same as the object’s center of mass. ...
PDF
... reduced totient function) ψ(n) (or λ(n)) for a given positive integer n is the smallest exponent m such that for any k coprime to n the congruence k m ≡ 1 mod n is always true. When n is a prime or a square of a prime, the equality ψ(n) = φ(n) holds (where φ(n) is Euler’s totient function). For powe ...
... reduced totient function) ψ(n) (or λ(n)) for a given positive integer n is the smallest exponent m such that for any k coprime to n the congruence k m ≡ 1 mod n is always true. When n is a prime or a square of a prime, the equality ψ(n) = φ(n) holds (where φ(n) is Euler’s totient function). For powe ...
Fundamental theorem of calculus
The fundamental theorem of calculus is a theorem that links the concept of the derivative of a function with the concept of the function's integral.The first part of the theorem, sometimes called the first fundamental theorem of calculus, is that the definite integration of a function is related to its antiderivative, and can be reversed by differentiation. This part of the theorem is also important because it guarantees the existence of antiderivatives for continuous functions.The second part of the theorem, sometimes called the second fundamental theorem of calculus, is that the definite integral of a function can be computed by using any one of its infinitely-many antiderivatives. This part of the theorem has key practical applications because it markedly simplifies the computation of definite integrals.