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Differentiate sin(x)cos(x)

let sin(x)=u , let cos(x)=v du/dx = cos(x), dv/dx = -sin(x) d[sin(x)cos(x)]/dx = v.du/dx + u.dv/dx = cos^2(x) - sin^2(x)
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Answered by James D. • Maths tutor
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A box is pulled with a rope at 26° to the horizontal and a tension of 120N. What is the work done in pulling it 5 metres?

Work done = Force in direction of motion (horizontal in this case) x distance. Force in direction of motion is 120 x cos(26) (draw a diagram to help visualise this) and distance is 5. Therefore work done is ...
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Answered by Alice R. • Physics tutor
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The probability a student in a school wears glasses is 3/7. There are 164 students who DON'T wear glasses. Find the number that wear glasses.

The probability they wear glasses is 3/7, which means the probability they don't is 1-3/7=4/7. This means 164 students make up 4/7 of the school. To find the number that wear glasses we need to find how many...
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Answered by Alice R. • Maths tutor
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Evaluate the View that the Main Aim of the Family is to Meet the Needs of Capitalism

Capitalism is an economic system characterised by private ownership of key resources such as the means of production. The Marxist perspective argues that the family is a key social institution which meets th...
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Answered by Nelson C. • Sociology tutor
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I can spot the rhetorical devices in a passage, but what do I do then?

It is very good that you can already spot them, that in itself is not always obvious or easy! The important thing is to then explain their effect. What do they add to the passage? Look at the context and the...
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Answered by Victoria B. • Latin tutor
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