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The curve C has equation y = (x^2 -4x - 2)^2. Point P lies on C and has coordinates (3,N). Find: a) the value of N. b) the equation of the tangent to C at the point P, in the form y=mx+c where m and c are constants to be found. c) determine d^2y/dx^2.

a) Sub x=3 into the given equation. N is found to be 25.b) Finding dy/dx gives me, as the first differential is the gradient.First differentiate the power and then multiply the differential of the express...

Answered by Tom A. • Maths tutor

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Why does the left side of the heart contain more muscle?

The left side of the heart contains oxygenated blood delivered by the pulmonary vein from the lungs. This blood must be pumped to the rest of the body, therefore more muscle is required to generate enough...

Answered by Frederikke M J. • Biology tutor

3080 Views

Explain what is meant by a sense of place?

This is a highly personal connection someone has with a place usually through experiencing them first-hand. It forms their perceptions of the place and is unique to them.

Answered by Henry C. • Geography tutor

2648 Views

Explain why a skill may be classified as open?

An open skill is one which is externally paced and is controlled by the environment around the performer. Movements must be adapted to this change in the environment. For example, a hockey midfielder look...

Answered by • Physical Education tutor

2819 Views

When do I use the imperfect tense and when do I use the perfect tense?

Both the perfect and the imperfect are past tenses. This means that they're both used to describe actions that have already happened.However, there are different uses for each tense. The imperfect is used...

Answered by Emilie T. • French tutor

1964 Views