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Let f(x) = 2x^3 + x^2 - 5x + c. Given that f(1) = 0 find the values of c.

In order to solve this question we simply must substitute x=1 into f(x). But what is f(x)? What does it actually mean to make a subsitution? f(x) has a fancy name attached to it called a function . It is ess...
ML
Answered by Michael L. • Maths tutor
10862 Views

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
3846 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
5436 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
6684 Views

Find the roots of the following equation: x^2 + x - 6 = 0

Student should factorise equation to (x-2)(x+3) = 0 This gives roots of 2 and -3
AR
Answered by Adam R. • Maths tutor
2264 Views