Find Integrals and Antiderivatives! Online Derivative Calculator. Equations solver - GetEasySolution.com. Variable on One Side Solving Two-Step Equations - WorksheetWorks.com. Trigonometry Problems and Questions with Solutions - Grade 10. X = 10 / tan(51o) = 8.1 (2 significant digits) H = 10 / sin(51o) = 13 (2 significant digits)
Algebrarules.com: The Most Useful Rules of Basic Algebra, Free & Searchable. Online maths practice. Videos and Worksheets. If you are a teacher/tutor and find the Videos and Worksheets useful, please consider making a donation towards the site’s running costs Common marking codes for teachers Marking codes 2D shapes: names Video 1 Practice Questions Textbook Exercise 2D shapes: quadrilaterals Video 2 Practice Questions Textbook Exercise 3D shapes: names Video 3 Practice Questions Textbook Exercise 3D shapes: nets Video 4 Practice Questions Textbook Exercise 3D shapes: vertices, edges, faces Video 5 Practice Questions Textbook Exercise.
Basic Differentiation Tutorial. Differentiation The process of finding the gradient or slope of a function is the differentiation.
We used to find the gradient of a straight line, just by dividing the change in 'y' by change in 'x', in a certain range of values. However, when it comes to a curve, it is not easy to find the gradient or slope as the very thing we want to measure, keeps changing from point to point. we have to draw tangents at all those points and then find the gradients individually. The following animation illustrates just that.
If we stick to this method we will have to draw hundreds, if not thousands, of tangents to find the gradient at various points of the curve; enough work to put off someone doing maths for decades! Good news is that there is a method that comes to our rescue. If y = xn then dy/dx = nxn-1 That means, if a curve is in the form of y = xn , its gradient at any point is given by nxn-1 . Understanding Exponents (Why does 0^0 = 1?) We’re taught that exponents are repeated multiplication.
This is a good introduction, but it breaks down on 3^1.5 and the brain-twisting 0^0. What is a Logarithm? A logarithm is the power to which a number must be raised in order to get some other number (see Section 3 of this Math Review for more about exponents).
For example, the base ten logarithm of 100 is 2, because ten raised to the power of two is 100: log 100 = 2 because. Introduction to Logarithms. In its simplest form, a logarithm answers the question:
Approaches that try to avoid memorization. Algebra 1 Math Course. GeoGebra Calculus Applets. Unit Circle. The "Unit Circle" is a circle with a radius of 1.
Being so simple, it is a great way to learn and talk about lengths and angles. The center is put on a graph where the x axis and y axis cross, so we get this neat arrangement here. Sine, Cosine and Tangent Because the radius is 1, we can directly measure sine, cosine and tangent. What happens when the angle, θ, is 0°? Trigonometry - Wikibooks, open books for an open world. For how to help with this book, click here.
Do add new material and examples and make corrections. It all helps.Decide whether new material is book 1,2 or 3. Didaxy. Exploring Precalculus. Integral Calculator - Symbolab. SineRider - A Game of Numerical Sledding. Desmos Graphing Calculator. Untitled Graph Create AccountorSign In Important changes to our Terms of Service!
Undo Learn more π functions θ τ Drop Image Here powered by Delete All Reset Done Create AccountorSign In to save your graphs! + New Blank Graph. Real World Examples of Quadratic Equations. An example of a Quadratic Equation: Quadratic equations pop up in many real world situations!
Here we have collected some examples for you, and solve each using different methods: Each example follows three general stages: Take the real world description and make some equations Solve! Use your common sense to interpret the results. Maths. Exploring Precalculus. Friendly lessons for lasting insight. Example 1: The Natural Base. Plotted below are two familiar exponential functions: and On the interval shown, we see that 2x begins with a slight head start in value, but 3x quickly outgrows it, overtaking 2x at We also see that the larger the values of each function, the faster they grow.
Said geometrically: Both curves are steeper the further up you go. It is interesting to compare the average growth rates of these two functions at different points. We do so in the table below. In the table, values of f(x) and g(x) have been computed at equal intervals of beginning at and ending at For each interval, the average rate of change Dy/Dx has been computed for both and and these rates are displayed at the midpoint of the interval over which they have been computed. It appears that the average rates of change for f are always lagging a little behind the values of the function itself, while those for g are always a little ahead.
Tranposition explanations and excercises. Math. Specialized - Math.