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Given y=x^3-x^2+6x-1, use diffferentiation to find the gradient of the normal at (1,5).

dy/dx = 3x^2-2x+6

At (1,5), dy/dx = 7. 7 is the gradient of the tangent, therefore the gradient of the normal at (1,5) is -1/7.

KR
2538 Views

What is the present subjunctive and when is it used?

The subjunctive is a 'mood', not to be confused with 'tense' since a mood can have more than one tense. The present form of the subjunctive is the most common in French t...

TJ
Answered by Tabitha J. French tutor
4669 Views

How can you tell the difference between a right-handed and left-handed coil (or helix) by looking at it?

Portions of proteins can arrange in regularly repeating structures such as α-helices: the vast majority of these helices are right-handed (the left-handed versions are very rare). Similarly, DNA (double) ...

RS
Answered by Riccardo S. Science tutor
27391 Views

How do you find the length of the longest side of a right-angled triangle?

First of all, I would ask the student what they think the question means and whether they have encountered a question like this before, so that I know where to start from. If the student is more of a visu...

ET
Answered by Eddie T. Maths tutor
4554 Views

What is the role of the myelin sheath in the transmission of electric impulses in the nervous system?

It is important to note that the IB syllabus expects the students to understand that "The myelination of nerve fibres allows for saltatory conduction." What this essentially mea...

CS
Answered by Clara S. Biology tutor
10498 Views

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