Learn how to find the maximum or minimum value of a quadratic function, and which functions have minimum or maximum values.
Riemann sums are designated by a capital sigma in front of a function. The sigma signals that you add together all of the values found at regular intervals (i) over the given span of the sum. The total width or span is the horizontal length from one endpoint to the other, often startin...
Find the value of f(X) at the first X value. As an example, take the function f(X) = X^2, and we are approximating the area under the curve between 1 and 3 with a delta X of 1; 1 is the first X value in this case, so f(1) = 1^2 = 1. Step 2 Multiply the height,...
What is the limit formula? The limit formula is the value L that a function f(x) approaches as x approaches a set value c. The limit will only exist if there is a single value that f(x) approaches near c. How do you find the limit of a function? To find the limit of a funct...
Function Notation How To Know if It’s a Function Operations on Functions Types of Functions: Names and Arguments Properties of Functions What is a Functional? Types of Functions: A to Z What is a Function? Watch the video for a quick explanation of functions vs. non-functions: ...
Riemann sum, Simpson’s. Back to Top Example Problem (Right Hand Riemann) Example problem:Find the area under the curve from x = 0 to x = 2 for the function x3using the right endpoint rule. Step 1:Sketch the graph: Step 2:Draw a series of rectanglesunder the curve, from the x-axi...
Measuring a response of a system to a step function input is a fundamental technique in system identification. In the context of linear systems, the unit step (Heaviside) function is typically used because linear systems exhibit scale-invariance, a direct result of the superposition principle. Conv...
Video: How to find the y-intercept and equation of a line from coordinates 2018-09-12 Video: How to find gradient or slope given two points on a straight line 2018-07-27 Video: NSW HSC Maths 2017 Extension 2 Exam Solutions Q16 (part 7/7) ...
The function ζ(s)ζ(s) converges for any s>1s>1, which, using some complex analysis magic, allows to find its unique analytic continuation on the whole complex plane CC, except for the point s=1s=1. In other words, there is a meaningful definition of ζ(−k)=1k+2k+3k+4k+…ζ...
1. Describe the Fundamental Theory of Calculus 2 2. What is the purpose of applying the Fundamental Theory of Calculus to a given function or integral? What is the role of mitochondria in a cell? What does calculus mean and what is it used for?