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Find the tangent to the curve y=x^3+3 at the point x=1.

1. Differentiate the Equation of the curve to find the gradient: y'=3x^2 2. The gradient of the tangent is found by substituting x=1 into y'=3x^2: Gradient of tangent=3 3. Now we must find out the co-ordinat...
SK
Answered by Sevenia K. • Maths tutor
5135 Views

A ball of mass 0.25 kg is travelling with a velocity of 1.2 m/s when it collides with an identical, stationary ball. After the collision, the two balls move together with the same velocity. How fast are they moving?

This question involves the principle of the conservation of momentum. Recall: Assuming no external forces act, linear momentum is always conserved . This means the total linear momentum of two objects before...
AH
Answered by Arnab H. • Physics tutor
11080 Views

How might I begin to analyse a difficult piece of poetry?

Difficult poetry can be intimidating and overwhelming at first, so the most important thing is to take it slow. Read through the whole piece twice and get as much of a general understanding of the content as...
CS
4790 Views

How should I use quotes in an essay?

Common methods of quote analysis taught for GCSE-standard essays are similar to PQA (point, quote, analysis), which can be effective - if formulaic. While this works well at lower levels, variation can be ke...
SM
Answered by Sian M. • English tutor
5749 Views

What is the Conservative view of human nature?

A Conservative view of human nature depends varies as to what strand of Conservatism you want to talk about, though there are similar themes. In general, Conservatives have a negative, pessimistic view of hu...
FL
Answered by Felix L. • Politics tutor
62260 Views