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A curve is described by f(x) = x^2 + 2x. A second curve is described by g(x) = x^2 -5x + 7. Find the point (s) where both curves intersect.

To find the points where two curves meet a difference function needs to be calculated. This function is formed by subtracting one function from the other: d(x) = f(x) - g(x). It also works the other way a...

Answered by Maths tutor
2756 Views

What keys can I modulate to when harmonizing a Bach chorale?

There are 5 keys which a Bach chorale could modulate to*. Two of these are the dominant and the subdominant (based on the 5th and 4th degree of the home key respectively). If the home key is major then th...

AK
Answered by Aaron K. Music tutor
4531 Views

A curve C has equation y = 3x^4 - 8x^3 - 3. Find dy/dx and d2y/dx2. Verify C has a stationary point at x = 2. Determine the nature of this stationary point, giving a reason for the answer.

y = 3x4 - 8x3 - 3Bringing the power down on each term and subtracting one from the power (as to differentiate, nxm —> nmxm-1), we get for each derivative:dy/...

CW
Answered by Connor W. Maths tutor
6155 Views

In an interview, a local politician has claimed "Sportunterricht ist überbewertet und zu teuer. Wir sollten ihn streichen." You are trying to change his mind. Write a short statement!

The following answer is exemplary and covers only some of the themes that a good answer might include:
Sport ist mit das wichtigste das jemand für seine Gesundheit tun kann. Es ist nicht nur wichtig...

Answered by German tutor
1398 Views

Find the x values for stationary points in the curve y=3sin(2x) for 0<x<180

Firstly we differentiate the equation y=3sin(2x) w.r.t. x.By using the chain rule, we find the dy/dx=6cos(2x)Since a stationary point in the curve is a point where the gradient is 0, we can find them by f...

Answered by Maths tutor
3629 Views

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