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Solve the simultaneous equations: ...

Two methods for simultaneous equations: making them equal to each or substitution. If they both have a common term, for example "y", then you can do substitution, otheriwise find a way to make them...
DV
Answered by Divya V. • Maths tutor
3751 Views

Find the tangent and normal to the curve y=(4-x)(x+2) at the point (2, 8)

-Tangent is a straight line that touches, but does not intersect, the curve at the point (2,8). We need to find the gradient of the curve at the point (2, 8). To do this, expand the equation, differentiate i...
SE
Answered by Sam E. • Maths tutor
5311 Views

A curve C is defined by the parametric equations x=(4-e^(2-6t))/4 , y=e^(3t)/(3t), t doesnt = 0. Find the exact value of dy/dx at the point on C where t=2/3 .

To solve this we must use the chain rule which is dy/dt * dt/dx. Firstly, we differentiate dy/dt. For this we must use the quotient rule, this gives us dy/dt=(9te^3t - 3e^3t)/9t^2. Now for dx/dt, by substitu...
LK
Answered by Lauren K. • Maths tutor
6573 Views

Find the integral of tan^2x dx

You can not integrate tan 2 x but you can integrate sec 2 x Since sec 2 x = 1 + tan 2 x Then tan 2 x = sec 2 x-1 so the intragral of tan 2 x dx = the integral of (sec 2 x-1) dx = intrgral of sec 2 x dx + int...
NP
Answered by Nandini P. • Maths tutor
21412 Views

How do i solve two linear simultaneous equations 2x+y=7 & 3x-y=8 ?

To start with, try and spot whether or not two of the coeffecients (numbers next to the letters) are the same for either question (i.e. could be a 3x in one equation and a 3x in the other). This also works i...
TB
Answered by Tom B. • Maths tutor
4473 Views