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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

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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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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

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How does the heart pump oxygenated blood around the body?

Blood that has been used up by the body (deoxygenated) enters the right side of the heart via a large vein known as the superior vena cava. It enters the right atrium from the top, which then contracts an...

Answered by Amber M. • Biology tutor

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