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Anton, Barbara and Clive are buying pens from the shop. Anton needs 4, Barbara needs 7, Clive needs 11. Pens only come in packs of 10. How many packs of pens do they need to buy between them?

The total number of pens they need is 4 + 7 + 11 = 22However pens only come in packs of 10 so they have to round up the number of pens they need to the nearest 10 ... this is 30. Then 30 divided by 10 is 3, ...
AK
Answered by Adam K. • Maths tutor
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Integrate cos(2x)sin(2x)

dy = sin(2x)cos(2x) dxlet u = sin(2x)du/dx = 2cos(2x)dx = du/2cos(2x)dy = (cos(2x)/2cos(2x))dudy = du/2y = u/2y = sin(2x)/2
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√5(√8 + √18) can be written in the form a√10 where a is an integer. Find the value of a.

We have: √5(√8 + √18) Now, multiply out the brackets (multiply everything inside the brackets by √5). This gives us √40 + √90 We now need to simplify the SURDs. We know that we want the answer in the form a√...
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Integrate the following with respect to x, f(x)=xsin(x)

f(x)= x sin(x) >>>>>>>>>>>>>>>>>> integral[ u dv/dx ] dx= uv - integral[v* du/dx] dx let x=u and sin(x)=dv/dx >>>>>>>>>>&gt...
JC
Answered by Jamie C. • Maths tutor
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Calculate the length of the hypotenuse of a right-angled triangle when the other two sides measure 6cm and 9cm.

Pythagoras theorem which applies to right angled triangles is summarised by the following formula: c 2 = a 2 + b 2 where 'c' is the hypotenuse of the triangle, whilst 'a' and 'b' are the two sides that conne...
GS
Answered by Gajendra S. • Maths tutor
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