As the tangent is a straight line, the equation of the tangent will be of the form \(y = mx + c\). We can use perpendicular gradients to find the value of \(m\), then use the coordinates of P to ...

Find \(\ds \lim_{h\to 0}\frac{f(1+h)-f(1)}{h}\) where \(\ds f(x)=\frac{3x+1}{x-2}\text{.}\) What does the result in (a) tell you about the tangent line to the graph ...

Although these restrictions sound severe, the Bernoulli equation is very useful, partly because it is very simple to use and partly because it can give great insight into the balance between pressure, ...

In 1843, William Rowan Hamilton had a four-dimensional flash of insight that still shapes our three-dimensional world.

Sketch the graph of the ellipse \(\ds \frac{x^2}{9}+\frac{y^2}{16}=1\) and determine its foci. Let \(C\) be the conic which consists of all points \(P=(x,y)\) such ...

" width="1200" height="675" /> NCERT Solutions for Class 10 Maths Chapter 10: NCERT solutions are a must have resource for ...

One of the key insights of the CAPM is that it answers an important investment question: “What is the expected return if I ...

log10(x), linear S Sine and cosines scale, sin(x) T Tangent scale, tan(x) If you’ve ever tried to manually draw an axis using a computer program — attempting to automatically set reasonable ...

The half-yearly exams for CBSE Class 10 are over and students must now focus on the final board examination. It is important ...

BOX SCORE:Brewers 10, Diamondbacks 9 “Hold this line here,” the Brewers bullpen ... a first-round bye was all but out of the equation and the Diamondbacks were pummeling the hosts once again.