Top answers

Find the equation of the tangent to the circle x^2 + y^2 + 10x + 2y + 13 = 0 at the point (-3, 2)

First, what is a tangent? A line which touches a circle (or ellipse) at just one point. In our case (-3,2) As it touches the line at one point, it is perpendicular the radius at (-3,2). Which implies that th...
PD
Answered by Patrick D. • Maths tutor
7009 Views

The line L has equation y=5-2x. Find an equation of the line perpendicular to L, which passes through the point P (3,-1).

The gradient of the line L is -2 so the gradient of the line perpendicular to L will be the negative reciprocal of -2 which is 1/2.The equation of the line perpendicular to L will be y=mx+c where m is the gr...
KN
Answered by Katie N. • Maths tutor
10398 Views

What is product rule differentiation?

Product rule differentiation, is a form of differentiation which is used to calculate the derivative, i.e. the gradient of the function, of a function f(x) which is made up of one function g(x) multiplied by...
TF
Answered by Thomas F. • Maths tutor
4958 Views

What are differences between speed and velocity, velocity and speed and acceleration?

Firstly, it is important to know the difference between scalars and vectors. Scalars are just a number associated with a measured quantity, while vectors are a number AND a direction associated with a quanti...
FP
Answered by Felix P. • Maths tutor
11976 Views

The curve C has equation 4x^2 – y^3 – 4xy + 2^y = 0 The point P with coordinates (–2, 4) lies on C . Find the exact value of dy/dx at the point P .

Since we need to find dy/dx, we must first differentiate the equation implicitly which gives us: 8x - 3y 2 dy/dx - 4y - 4xdy/dx + 2 y ln(2)dy/dx = 0. Because we are given a point, we can substitute in the x ...
SN
Answered by Samuel N. • Maths tutor
9304 Views