Search our library of homework questions

Top answers

All subjects

All levels

Find the Taylor Series expansion of tan(x) about π/4 up to the term in terms of (x-π/4)^3.

Firstly, set f(x) = tan(x). We can then differentiate this 3 times in order to find f'(x), f''(x) and f'''(x). This will require use of the chain rule and the product rule. We can find:f'(x) = sec²

Answered by Jack M. • Further Mathematics tutor

53937 Views

w and x are whole numbers. w >40, x<30. Work out the smallest possible value of w-x.

To get the smallest value of w-x we will need the smallest value of w and the largest value of x.Our smallest possible value of w=41.Our largest possible value of x=29.So the smallest value of w-x = 41-29...

Answered by Esme G. • Maths tutor

15013 Views

How do you work out the tangent to a circle at a given point on the circle?

(Suppose the coordinates of the point on the circle is (2, 3))To calculate the tangents equation we will first work out it's gradient. The tangent to a circle at a point is perpendicular to the radius of ...

Answered by James H. • Maths tutor

14789 Views

What's the difference between a local and a global variable?

A global variable can be accessed from anywhere within the program whereas a local one can only be accessed from within the method it's declared in.

Answered by James H. • Python tutor

1803 Views

An individual is seated in a darkened room. What would you expect their pupils to look like? A light is shone onto their eyes and a change in their pupils is noted, what change would you expect and why?

In dark/dim conditions the human pupil dilates (diameter increases) to allow more light in.In bright conditions the pupil constricts (diameter decreases) and less light enters the eye.This is through a co...

Answered by Tom B. • Biology tutor

2439 Views