Maths at Home

How to Write in Logarithmic Form: Video Lesson What is Logarithmic Form? The logarithmic form is written as loga(c)=b. It is a rearrangement of the exponential form, ab=c. Any exponential equation can be written as a logarithm. The logarithmic form is used to calculate an exponent of an equation. is read as “log base a […]

How to Find the Equation of a Tangent: Video Lesson What is a Tangent to a Curve? A tangent line to a curve is a straight line that just touches the curve at one point. The tangent line has the same gradient as the curve does at this point. The tangent to the curve above

Area Between Two Curves: Video Lesson How to Find the Area Between Two Curves To find the area between two curves, the formula is A=∫[f(x)-g(x)]dx, where f(x) is the upper curve and g(x) is the lower curve. The limits of integration are the values of x read from the x-axis for which the area is

Calculate a Bearing From an Angle: Video Lesson Calculate a Bearing Using Trigonometry: Video Lesson What is a Bearing in Mathematics? In mathematics, a bearing is defined as an angle measured clockwise from north. Bearings are usually written as a three-figure bearing. For example, the angle 50° from north is written as 050°. A bearing

How to Solve an Exponential Equation: Video Lesson How to Solve an Exponential Equation To solve an exponential equation, take logs of both sides of the equation and bring the power down in front of the log. The resulting linear equation can be solved for x. For example, solve 5x=13. Taking logs, log(5x)=log(13). Then xlog(5)=log(13).

Derivatives of Exponential Functions: Video Lesson How to Differentiate ex The derivative of ex is ex. Therefore e to the power of x remains unchanged when it is differentiated. This is the only function to have this property. The derivative of ekx is kekx. For ex, k=1 and so, the derivative of ex is ex.

How to Interpret Box Plots: Video Lesson How to Compare Box Plots: Video Lesson A box plot is a diagram used to display the distribution of data. A box plot indicates the position of the minimum, maximum and median values along with the position of the lower and upper quartiles. From this, the range, interquartile

How to Find a 5 Number Summary: Video Lesson What is the Five Number Summary? The five number summary consists of the minimum, lower quartile (Q1), median (Q2), upper quartile (Q3) and the maximum. The minimum is the smallest number, the maximum is the largest, the median is in the middle, Q1 is the median

How to Read a Binary Number: Video Lesson How to Write a Number in Binary: Video Lesson How to Read Binary To read a binary number: Write a 1 above the rightmost binary digit. Write a 2 above the next digit to the left and a 4 above the next digit. Keep doubling the number

Prim’s Algorithm: Video Lesson How to do Prim’s Algorithm To do Prim’s Algorithm: Start at any node. Join this node to its nearest node. Join any of the connected nodes to the nearest unconnected node. Continue joining unconnected nodes in this way until all nodes are connected. For example, use Prim’s Algorithm to find the