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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

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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...

Answered by Aaron K. • Music tutor

5275 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, nx^m —> nmx^m-1), we get for each derivative:dy/...

Answered by Connor W. • Maths tutor

6699 Views

Proteins are made according to information stored in the DNA structure of genes. Describe the structure of DNA and how DNA determines the structure or proteins-

DNA is made up of nucleotides. Each nucleotide contains a phosphate group, a sugar group and a nitrogen base. The four types of nitrogen bases are adenine (A), thymine (T), guanine (G) and cytosine (C). N...

Answered by Lena H. • Biology tutor

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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

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