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How do I find the equation of a tangent to a given point on a curve?

Let's take an example: Curve: y = x^2 Point: (2,4) The equation of the tangent is going to be of the form y = mx + c (standard equation of a straight line), where m is the gradient of the line and c is the i...
TP
Answered by Theo P. • Maths tutor
4834 Views

What is the difference between reducing balance method depreciation and straight line depreciation?

The reducing balance method takes off a percentage of the value of a Non Current Asset each year. For example a an asset that is valued at £50,000 and depreciated at a rate of 10% per year will be depreciate...
JD
Answered by Jack D. • Accounting tutor
34720 Views

The line AB has equation 3x + 5y = 7, find; a) the gradient of AB b) the x-axis and y-axis intercepts c) sketch the graph

a) Rearrange equation into the form y = mx + c where m is the gradient and c is the y-axis intercept. Gradient AB = -3/5. b) The y-intercept is c which = 7/5. To find x-axis intercept we set y=0 and rearrang...
WH
Answered by Will H. • Maths tutor
5500 Views

Solve the following quadratic equation: x^2 + 3x + 2 = 0

Step 1: Find factors of the constant (The number with no x attached to it), In our case this is 2. The factors of 2 are: 1 & 2 and -1 & -2. Step 2: The sum of the factors from step 1 must equal the n...
JS
Answered by Jack S. • Maths tutor
4790 Views

How do we know the energy of a photon (light particle) is quantised?

Firstly, quantisation of energy means that energy can only exist for specific, discrete values, i.e. it is not continuous. Now, photons display this phenomena however it is not immediately obvious why, as in...
BM
Answered by Ben M. • Physics tutor
3347 Views