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John has £385 he wants to give to Charlie, Ben and Sarah. He gives them the money in the ratio 1:2:4 respectively. How much money does each person get?

You have a total of £385 to split to Charlie, Ben and Sarah in the ratio of 1:2:4. First, I ask myself how many parts am I splitting the £385 into?From the ratio, I know the total number of parts = 1 + 2 + 4...
NV
Answered by Nathan V. • Maths tutor
3895 Views

Integration by parts; ∫e^x sin(x) dx

The first step in solving this problem is to identify that it is an integral that needs to be solved by parts. When you see an integral, check if it is in the form u v, where u and v are both functions of x ...
DB
Answered by Daniel B. • Maths tutor
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A particle of mass 5kg is held at rests on a slope inclined at 30 degrees to the horizontal. The coefficient of friction for the slope is 0.7, determine whether the particle will move when released.

Frictional force acting: F Max = u R = 0.7 x 5 x 9.81 x cos(30) F Max = 29.7N Weight acting down the slope: F = 5 x 9.81 x sin(30)F = 24.5N Frictional max is greater than the weight acting down the slope, th...
MI
Answered by Myles I. • Maths tutor
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Find values of x in the interval 0<x<360 degrees. For which 5sin^2(x) + 5 sin(x) +4 cos^2(x)=0

This question is split up into two parts. Firstly recall the trigonometric identities you know, the trick here is to eliminate one of the squared terms. Using 4sin^2(x) +4cos^2(x) = 4, the cos term is elimin...
JG
Answered by James G. • Maths tutor
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Here are four fractions, 4/5 3/8 12/30 14/20. Write them in order of size, starting with the smallest fraction.

First cancel down the fractions to make the numbers as small as possible, then make all fractions have the same denominator. 12/30 becomes 2/5. 14/20 becomes 7/10. So the new fractions are 4/5 3/8 2/5 and 7/...
KS
Answered by Kim S. • Maths tutor
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