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If e^(4t) = 6, find an expression for t.

This question involves rearranging equations. In this case we need to get t on the LHS (left hand side) of this equation in order to find an expression for t . An expression for t just means, what does t equ...
CF
Answered by Catriona F. • Maths tutor
2245 Views

A triangle has vertices A(-3,5), B(7,9) and C(2,11). What is the equation of the median that passes through the vertex C?

First we can to start by making a sketch of the triangle since it may be easier to visualise the problem. Since the median of a triangle is a line that joins a vertex to the midpoint of the opposite side, we...
HR
Answered by Harry R. • Maths tutor
5969 Views

Solve algebraically the system of equations: 4x+5y=-3 and 6x-2y=5

Label both equations to make it easy to refer to them in your answerEqn 1: 4x+5y=-3Eqn 2: 6x-2y=5 To solve these equations we need to be able to eliminate either the y terms or the x terms. In order to do th...
ER
Answered by Emma R. • Maths tutor
2500 Views

Why is the gradient of a curve at a point the same as the gradient of the tangent if you can't use gradient formula on a curve?

This may be initially confusing to get your head around but gradient is really just an expression of "rate of change" on a curve the rate of change is always changing at every point, this about it ...
BD
Answered by Brendan D. • Maths tutor
5606 Views

Given that, dy/dx = 6x^2 - 3x + 4, and y = 14 when x = 2, express y in terms of x.

dy/dx = 6x 2 - 3x + 4 To retrieve the original function y from dy/dx you have to integrate the derivative with respect to x. y = ∫(dy/dx)dxy = ∫(6x 2 - 3x + 4)dx To integrate, the power is raised by one and ...
CB
Answered by Ciaran B. • Maths tutor
6281 Views