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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
4059 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/...

Answered by Connor W. Maths tutor
5755 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
11276 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
1296 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
3380 Views

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