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If y = 2^x, solve the equation 8(4^x) + 9(2^x) + 1 = 0 in terms of y.

We first see that we are asked to solve the equation in terms of y. We can see that y = 2^x, and there is also a 2^x in the equation, meaning we can instantly change that to y. However, there is also a 4^x, ...
SR
Answered by Satveer R. • Maths tutor
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how to sketch a funtion f(x)

1 find the domain of the function (where it exist) 2 find the solutions of the function, solve f(x)=0 3 if it has vertical asyntotes (poles) identify them (eg the denomitator=0) 4 find the intesections with ...
AF
Answered by Andrea F. • Maths tutor
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Solve 6x^2-13x=5

To be able to solve a quadratic, you must make it equal to zero. So the first thing you have to do is take away 5 from both sides. You could take away 6x^2-13x from each side, but it is much easier to keep y...
EC
Answered by Eleanor C. • Maths tutor
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How do I find the equation of the tangent of a curve at a specific point.

The gradient is the rate of change at a specific point on the curve. Since the tangent is a straight line that touches the curve only once at a specific point, the gradient of the curve and the tangent will ...
AS
Answered by Aref S. • Maths tutor
4376 Views

Use the substitution u = 6 - x^2 to find the value of the integral of (x^3)/(sqrt(6-x^2)) between the limits of x = 1 and x = 2 (AQA core 3 maths

When integrating by substitution the first thing to do is change the limits of the integral by subbing them into the equation for u. This gives u = 5 as the lower limit and u = 2 for the upper limit. The nex...
CC
Answered by Christopher C. • Maths tutor
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