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Differentiate y=x^2 from first principles

y=x 2 dy/dx= Lim h-->0 ( ((x+h) 2 -x 2 ) / (x+h-x) )dy/dx= Lim h-->0 ( (x 2 + 2hx + h 2 - x 2 ) / h )dy/dx= Lim h-->0 ( (h 2 + 2hx) / h )dy/dx= Lim h-->0 ( h + 2x )dy/dx= Lim h-->0 ( h ) + 2xd...
DC
Answered by Dipayan C. • Maths tutor
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A line has Cartesian equations x−p = (y+2)/q = 3−z and a plane has equation r ∙ [1,−1,−2] = −3. In the case where the angle θ between the line and the plane satisfies sin⁡θ=1/√6 and the line intersects the plane at z = 0. Find p and q.

This question gives hints as to how you should solve it. Because it tells you the angle between the line and the plane, this should indicate that doing something to do with finding the angle between the line...
JO
4385 Views

Was machst du in deiner Freizeit?

Also, wenn ich Zeit habe, spiele ich Fußball mit meinem Bruder und lese ich viele Bücher. Manchmal fahre ich auch mit dem Rad und besuche ich meine Freunde- wir gehen auch oft in die Stadt, damit wir zusamme...
RF
Answered by Ronan F. • German tutor
15104 Views

How to find the turning point on a curve?

The equation of the curve will be a quadratic i.e. it follows the form y=ax 2 +bx+cTo find the turning point, the quadratic will need to be solved using the completing the square method. This means to factor...
MV
Answered by Muhammad V. • Maths tutor
5046 Views

How does Carol Ann Duffy's 'Mrs Midas' show characters' attempts to deal with life-changing events?

In Carol Ann Duffy's Mrs Midas, the poet is seen to take on the form of a dramatic monologue in order to adequately articulate and express the emotions and experience of the imagined but eponymous persona - ...
Answered by • English tutor
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