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How to find the reciprocal of a graph, such as y=cos(x)?

To find the reciprocal of any graph, first consider the key points, in this case: (0,1), (90,0), (180,-1), (270,0) and (360,1). Since we are finding the reciprocal in the y-axis, we can find the reciprocal o...
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Answered by Aqeel A. • Maths tutor
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Explain the difference between Libetarianism and Hard Determinism. Discuss which is the stronger argument.

Libertarianism is the claim that human individuals have autonomous control over their actions, and are, therefore, morally accountable agents. Hard determinism, on the other hand, claims that an individual's...
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Let E be an ellipse with equation (x/3)^2 + (y/4)^2 = 1. Find the equation of the tangent to E at the point P where x = √3 and y > 0, in the form ax + by = c, where a, b and c are rational.

In order to find the equation of the tangent to a curve at a point (x 1 , y 1 ), we use the equation y - y 1 = m(x - x 1 ), where m is the gradient of the curve at (x 1 , y 1 ). We already have x 1 = √3, so ...
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Let f(x) = x * sin(2x). Find the area beneath the graph of y = f(x), bounded by the x-axis, the y-axis and the line x = π/2.

After short consideration, we see that we must integrate f(x) with respect to x, between 0 and π/2, using integration by parts. Taking the formula for integration by parts, we set u = x and dv/dx = sin(2x). ...
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Answered by Benjamin C. • Maths tutor
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Describe the process of transcription of DNA

DNA transcription is the process of copying the DNA strand in order to make mRNA that is needed for protein synthesis. Firstly, RNA polymerase attaches to the double helix of DNA, this unwound by the RNA pol...
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Answered by Matt H. • Biology tutor
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