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How do I apply mathematical induction to answer questions

If you are familiar with induction but unsure how to answer the types of questions that require it, a structure can be useful. Even when confident, it will help an examiner to see where to award you marks if...
OM
3276 Views

Describe the process of DNA replication

DNA replicates by a semi-conservative method. When replication needs to occur, DNA helicase separates the two strands of DNA by breaking the hydrogen bonds between the strands. Each free strand now acts as a...
PB
Answered by Parisha B. • Biology tutor
5285 Views

How do you start to harmonise a 4-part Bach-style Chorale?

Initially, decide upon the key in which the piece is written. Key signature, accidentals and the beginning and end of the melody are good indicators. Secondly, decide whether there are any modulations. If so...
JL
Answered by James L. • Music tutor
4183 Views

How do you know if the second derivative of an equation is a maximum or a minimum?

If the second derivative of an equation is positive (d 2 y /dx 2 > 0), we can see that this point on a curve is a minimum. This is because, where the first derivative finds the gradient of a curve (how th...
JG
Answered by Jessica G. • Maths tutor
4481 Views

Use integration by parts to find the integral of ln x by taking ln x as the multiple of 1 and ln x

For integration by parts, the integral is uv - ∫ u' v dx. First we take u = ln x and v' = 1. While we could have u and v' be the opposite at this stage, it becomes apparent later on that we can't do this bec...
JC
Answered by Jack C. • Maths tutor
5846 Views